Internal coverage audit

Coverage Audit

A read-only check of the GCSE topic structure, question bank, metadata and local app integration points.

topic list warningsno duplicate IDscoverage gaps found

Main topics

Subtopics

8350

Questions

2193

Exam-style

4021

Fluency

287

Reasoning

1362

Challenge

486

Misconception

929

With visuals

7421

Without visuals

11%

Visual coverage

1272

Accuracy warnings

219

Exam visuals

6911

Multiple-choice

1439

Typed-answer

Unchecked

Needs editing

Questions by purpose

4021

Fluency

287

Reasoning

2194

Exam-style

1362

Challenge

486

Misconception

Questions by complexity

3565

Low

3049

Medium

1736

High

Quality intervention checks

Tracks the current teacher-quality pass: rewritten wording, strengthened exam-style items, statistics context upgrades and remaining generated scaffold wording.

Questions rewritten

Exam-style upgraded

Statistics rewritten

Frequency tables rewritten

Angle questions upgraded

Old scaffold wording left

6614

Quality flags

Repeated diagram flags

2559

Answer-position flags

Exam-style quality coverage

Assessment objective balance

AO2/AO3

AO1

1971

AO1/AO3

AO3

150

AO1/AO2

Exam-style complexity

low

2024

medium

165

high

Topic	Exam-style	With visuals	Low	Medium	High
Number	612	0	0	590	22
Algebra	272	43	0	263	9
Ratio and Proportion	392	30	0	372	20
Geometry and Measures	354	61	0	293	61
Transformations and Constructions	107	29	0	100	7
Statistics and Probability	340	52	4	336	0

Canonical topic list

7 live main topics

number

Number

algebra

Algebra

ratio

Ratio and Proportion

geometry

Geometry and Measures

transformations

Transformations and Constructions

statistics

Statistics and Probability

Topic list warnings

Non-canonical main topic in shared list: pythagoras-trigonometry

Questions by topic

Topic	Practice	Exam-style	Reasoning	Challenge	Total
Number	2019	612	24	610	2631
Algebra	832	272	60	130	1104
Ratio and Proportion	1076	392	40	177	1468
Geometry and Measures	787	354	80	215	1141
Transformations and Constructions	276	107	36	26	383
Statistics and Probability	1080	340	43	183	1420

Visual question coverage

Topic	Total	With visuals	Valid visuals	Likely needed	Coverage
Number	2631	0	0	0	Not required
Algebra	1104	175	175	223	78%
Ratio and Proportion	1468	100	100	0	Not required
Geometry and Measures	1141	289	239	702	41%
Transformations and Constructions	383	115	115	331	35%
Statistics and Probability	1420	231	231	558	41%

Geometry, graph and statistics questions that likely need visuals but do not yet have one: 1150

Visual coverage by type

angle-bisector13

angle-diagram66

bar-chart19

circle40

compound-rectilinear-shape9

conversion-graph30

coordinate-grid6

cuboid37

custom-svg-placeholder13

diagram-studio1

enlargement-grid8

frequency-table23

interactive-graph70

interactive-table31

line-graph6

linear-graph28

listing-table13

loci-diagram12

measuring-cylinder8

number-line-scale1

parallelogram20

perpendicular-bisector13

pictogram17

plans-elevations17

plotted-points27

polygon-shape14

probability-scale17

real-life-graph24

rectangle34

reflection-grid13

right-angled-triangle19

rotation-grid11

ruler3

sample-space-diagram14

scatter-graph17

table100

table-of-values4

translation-grid10

trapezium20

triangle20

triangle-construction18

two-way-table60

weighing-scale3

Visual data checks

1150

Questions likely missing visuals

Visual questions with incomplete data

area-parallelograms-8 (parallelogram): visual label may overlap: perpendicular height
types-of-angles-1 (angle-diagram): incomplete angle data, missing conventional notation
types-of-angles-2 (angle-diagram): incomplete angle data
types-of-angles-3 (angle-diagram): incomplete angle data, missing conventional notation
types-of-angles-5 (angle-diagram): missing conventional notation
types-of-angles-typed-1 (angle-diagram): incomplete angle data, missing conventional notation
angles-straight-point-2 (angle-diagram): missing conventional notation, right-angle rendering issue
angles-straight-point-3 (angle-diagram): incomplete angle data, missing conventional notation
angles-straight-point-4 (angle-diagram): missing conventional notation
angles-straight-point-6 (angle-diagram): missing conventional notation
angles-straight-point-7 (angle-diagram): missing conventional notation, right-angle rendering issue
angles-straight-point-9 (angle-diagram): incomplete angle data
angles-straight-point-10 (angle-diagram): incomplete angle data
angles-straight-point-typed-2 (angle-diagram): missing conventional notation
angles-triangles-1 (angle-diagram): incomplete angle data
angles-triangles-4 (angle-diagram): incomplete angle data
angles-triangles-5 (angle-diagram): incomplete angle data
angles-triangles-6 (angle-diagram): incomplete angle data
angles-triangles-8 (angle-diagram): incomplete angle data
angles-triangles-typed-2 (angle-diagram): incomplete angle data

Questions likely missing visuals

Question ID	Topic	Subtopic	Question
coordinates-3	Algebra	Coordinates	In the coordinate (2, -6), what is the y-coordinate?
coordinates-6	Algebra	Coordinates	Which coordinate lies on the y-axis?
coordinates-7	Algebra	Coordinates	Which coordinate lies on the x-axis?
coordinates-typed-1	Algebra	Coordinates	Write the coordinate with x = -2 and y = 6.
plotting-coordinates-1	Algebra	Plotting Coordinates	To plot (4, -3), which movement is correct from the origin?
plotting-coordinates-2	Algebra	Plotting Coordinates	Which point is plotted 2 left and 5 up from the origin?
plotting-coordinates-4	Algebra	Plotting Coordinates	Which point is 6 units below the x-axis and on the y-axis?
plotting-coordinates-5	Algebra	Plotting Coordinates	Which coordinate is 3 units left of (2, 1)?
plotting-coordinates-6	Algebra	Plotting Coordinates	Which point is on the x-axis?
plotting-coordinates-typed-1	Algebra	Plotting Coordinates	Write the coordinate 5 left and 2 down from the origin.
plotting-coordinates-typed-2	Algebra	Plotting Coordinates	A point starts at (-1, 4) and moves 3 right and 6 down. Write the new coordinate.
plotting-linear-graphs-5	Algebra	Plotting Linear Graphs	What shape should the graph of y = 3x be?
plotting-linear-graphs-6	Algebra	Plotting Linear Graphs	For y = x - 4, what is y when x = 6?
plotting-linear-graphs-typed-1	Algebra	Plotting Linear Graphs	For y = 3x + 2, find y when x = 4.
plotting-linear-graphs-typed-2	Algebra	Plotting Linear Graphs	For y = 2x - 3, find y when x = -1.
gradient-y-intercept-1	Algebra	Interpreting Gradient and Y-Intercept	In y = 2x + 5, what is the y-intercept?
gradient-y-intercept-2	Algebra	Interpreting Gradient and Y-Intercept	In y = 3x - 1, what is the gradient?
gradient-y-intercept-3	Algebra	Interpreting Gradient and Y-Intercept	A line crosses the y-axis at (0, 4). What is its y-intercept?
gradient-y-intercept-4	Algebra	Interpreting Gradient and Y-Intercept	Which line is steepest?
gradient-y-intercept-5	Algebra	Interpreting Gradient and Y-Intercept	A gradient of 2 means that for every 1 right, the line goes...
gradient-y-intercept-7	Algebra	Interpreting Gradient and Y-Intercept	In y = -2x + 3, what does the negative gradient show?
gradient-y-intercept-8	Algebra	Interpreting Gradient and Y-Intercept	Which equation has y-intercept -4?
gradient-y-intercept-typed-1	Algebra	Interpreting Gradient and Y-Intercept	In y = 4x + 7, write down the gradient.
real-life-graphs-7	Algebra	Real-Life Graphs	What does the vertical axis usually show on a distance-time graph?
conversion-graphs-1	Algebra	Conversion Graphs	A conversion graph shows 1 mile is about 1.6 km. About how many km is 5 miles?
conversion-graphs-2	Algebra	Conversion Graphs	If 10 pounds is about 4.5 kg, what is 20 pounds about?
conversion-graphs-7	Algebra	Conversion Graphs	Which is most likely for a simple conversion graph?
conversion-graphs-typed-1	Algebra	Conversion Graphs	Using 1 mile is about 1.6 km, estimate 10 miles in km.
conversion-graphs-typed-2	Algebra	Conversion Graphs	If 5 kg is about 11 pounds, estimate 10 kg in pounds.
perimeter-rectangles-compound-3	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 7 cm. Find its perimeter.
scales-reading-measures-3	Geometry and Measures	Scales and Reading Measures	A weighing scale shows a pointer halfway between 2 kg and 3 kg. What is the mass?
scales-reading-measures-4	Geometry and Measures	Scales and Reading Measures	A ruler has 10 small divisions in 1 cm. What is each small division?
scales-reading-measures-6	Geometry and Measures	Scales and Reading Measures	A measuring jug has marks every 50 ml. The liquid reaches the third mark after 0 ml. What is the reading?
scales-reading-measures-7	Geometry and Measures	Scales and Reading Measures	A thermometer mark is two small divisions above 18 degrees C. Each division is 1 degree C. What is the reading?
angles-straight-point-5	Geometry and Measures	Angles on a Straight Line and Around a Point	Maya says angles on a straight line add to 360°. Which statement is correct?
angles-triangles-3	Geometry and Measures	Angles in Triangles	Which angle fact is needed to find a missing angle in a triangle?
angles-triangles-typed-1	Geometry and Measures	Angles in Triangles	In triangle ABC, two angles are 44° and 81°. Find x.
angles-quadrilaterals-1	Geometry and Measures	Angles in Quadrilaterals	In quadrilateral ABCD, three angles are 90°, 80° and 100°. Find x.
angles-quadrilaterals-2	Geometry and Measures	Angles in Quadrilaterals	Which angle fact is needed to find a missing angle in any quadrilateral?
angles-quadrilaterals-7	Geometry and Measures	Angles in Quadrilaterals	A quadrilateral has three angles of 85°, 95° and 100°. Find the fourth angle.
properties-2d-shapes-1	Geometry and Measures	Properties of 2D Shapes	How many lines of symmetry does a square have?
properties-2d-shapes-5	Geometry and Measures	Properties of 2D Shapes	How many sides does a pentagon have?
properties-2d-shapes-6	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral has four equal sides and four right angles?
properties-2d-shapes-7	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral has opposite sides equal and four right angles?
properties-2d-shapes-8	Geometry and Measures	Properties of 2D Shapes	A regular hexagon has how many sides?
area-compound-shapes-8	Geometry and Measures	Area of Compound Shapes	What is a good first step when finding the area of a compound shape?
volume-cuboids-8	Geometry and Measures	Volume of Cuboids	What unit is suitable for the volume of a cuboid measured in centimetres?
reflections-3	Transformations and Constructions	Reflections	Which coordinate stays the same when a point is reflected in the y-axis?
rotations-5	Transformations and Constructions	Rotations	Which information is needed to describe a rotation fully?
rotations-8	Transformations and Constructions	Rotations	A 270° clockwise rotation is the same as which rotation?
translations-3	Transformations and Constructions	Translations	The column vector (3-2) means:
translations-4	Transformations and Constructions	Translations	Point C moves from (1, 2) to (6, 4). Which vector describes the translation?
translations-5	Transformations and Constructions	Translations	Point D is at (4, -1). Translate it by (-35). What is the image?
translations-8	Transformations and Constructions	Translations	Point F moves from (-4, 1) to (-4, 6). Which vector describes the translation?
enlargements-6	Transformations and Constructions	Enlargements	A triangle has sides 3 cm, 4 cm and 5 cm. It is enlarged by scale factor 2. What are the new side lengths?
enlargements-7	Transformations and Constructions	Enlargements	Which information is needed for a full enlargement description?
enlargements-typed-2	Transformations and Constructions	Enlargements	A side length of 7 cm is enlarged by scale factor 4. What is the new side length?
shape-reflections-1	Transformations and Constructions	Reflections	Triangle ABC is reflected in the y-axis. Vertex A is at (2, 1). Write down the coordinate of A after the reflection.
shape-reflections-2	Transformations and Constructions	Reflections	Triangle ABC is reflected in the x-axis. Which image shows the correct transformation?
shape-reflections-3	Transformations and Constructions	Reflections	Shape P is reflected to shape Q on a coordinate grid. The mirror line is vertical. Describe the reflection fully.
shape-reflections-4	Transformations and Constructions	Reflections	A student reflects a rectangle in the line y = 2. Which statement must be true for the image to be correct?
shape-reflections-5	Transformations and Constructions	Reflections	Quadrilateral ABCD is reflected in the line y = x. Which is the correct reflection?
shape-reflections-6	Transformations and Constructions	Reflections	The diagram shows shape A and its image B after a reflection. Describe the transformation fully.
shape-rotations-1	Transformations and Constructions	Rotations	Triangle ABC is rotated 180° about the origin. Which image shows the correct transformation?
shape-rotations-2	Transformations and Constructions	Rotations	The rectangle is rotated 90° anticlockwise about the origin. Which image shows the correct transformation?
shape-rotations-3	Transformations and Constructions	Rotations	Shape P is rotated to shape Q on a grid. Which information is needed to describe the rotation fully?
shape-rotations-4	Transformations and Constructions	Rotations	The diagram shows triangle A and its image B after a rotation. Describe the rotation fully.
shape-rotations-5	Transformations and Constructions	Rotations	A triangle is rotated 90° clockwise about the origin. Which coordinate rule is correct for every vertex?
shape-rotations-6	Transformations and Constructions	Rotations	A quadrilateral is rotated 180° about the point (1, 1). One vertex moves from (4, 2) to (-2, 0). Explain how this helps check the centre of rotation.
shape-translations-1	Transformations and Constructions	Translations	Triangle ABC is translated by the column vector (3-2). What movement does this describe?
shape-translations-2	Transformations and Constructions	Translations	The triangle is translated by the vector (5-3). Which image shows the correct transformation?
shape-translations-3	Transformations and Constructions	Translations	The blue pentagon is translated to make the green pentagon. Which is the correct vector it is translated by?
shape-translations-4	Transformations and Constructions	Translations	A rectangle is translated by the vector (-24). Which statement is true?
shape-translations-5	Transformations and Constructions	Translations	The diagram shows shape P translated to shape Q. Describe the translation as a column vector.
shape-translations-6	Transformations and Constructions	Translations	A student says the vector (2-5) means 2 up and 5 left. Explain the mistake.
shape-enlargements-1	Transformations and Constructions	Enlargements	Triangle ABC is enlarged by scale factor 2. Side AB is 4 cm. What is the length of the image side A'B'?
shape-enlargements-2	Transformations and Constructions	Enlargements	The rectangle is enlarged by scale factor 3 from the origin. Which image shows the correct transformation?
shape-enlargements-3	Transformations and Constructions	Enlargements	Shape A is enlarged to shape B. A side of shape A is 3 cm and the matching side of shape B is 12 cm. What is the scale factor?
shape-enlargements-4	Transformations and Constructions	Enlargements	The diagram shows triangle A enlarged to triangle B. Describe the enlargement fully.
shape-enlargements-5	Transformations and Constructions	Enlargements	A square has side length 5 cm. It is enlarged by scale factor 3. Work out the perimeter of the enlarged square.
shape-enlargements-6	Transformations and Constructions	Enlargements	A student enlarges a triangle by scale factor 2 and says the area also doubles. Explain why this is not correct.
plans-elevations-1	Transformations and Constructions	Plans and Elevations	Which view shows an object from above?
plans-elevations-2	Transformations and Constructions	Plans and Elevations	Which view shows an object from the front?
plans-elevations-6	Transformations and Constructions	Plans and Elevations	A side elevation shows which direction?
plans-elevations-typed-2	Transformations and Constructions	Plans and Elevations	Which view is seen from above: plan, front elevation or side elevation?
drawing-triangles-1	Transformations and Constructions	Drawing Triangles Accurately	Which tools are needed to draw a triangle with sides 5 cm, 6 cm and 7 cm accurately?
drawing-triangles-2	Transformations and Constructions	Drawing Triangles Accurately	A triangle is described as SSS. What information is given?
drawing-triangles-3	Transformations and Constructions	Drawing Triangles Accurately	A triangle is described as SAS. What information is given?
drawing-triangles-4	Transformations and Constructions	Drawing Triangles Accurately	A triangle is described as ASA. What information is given?
perpendicular-bisectors-1	Transformations and Constructions	Constructing Perpendicular Bisectors	What does a perpendicular bisector do to a line segment?
perpendicular-bisectors-2	Transformations and Constructions	Constructing Perpendicular Bisectors	Which tools are used to construct a perpendicular bisector accurately?
perpendicular-bisectors-4	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing a perpendicular bisector, the compass width should be:
perpendicular-bisectors-7	Transformations and Constructions	Constructing Perpendicular Bisectors	What should be joined to complete a perpendicular bisector construction?
perpendicular-bisectors-8	Transformations and Constructions	Constructing Perpendicular Bisectors	If AB is 10 cm long, where does its perpendicular bisector cross AB?
perpendicular-bisectors-typed-1	Transformations and Constructions	Constructing Perpendicular Bisectors	A line segment AB is 12 cm long. How far from A is the midpoint?
perpendicular-bisectors-typed-2	Transformations and Constructions	Constructing Perpendicular Bisectors	What angle does a perpendicular bisector make with the line segment it bisects?
angle-bisectors-1	Transformations and Constructions	Constructing Angle Bisectors	What does an angle bisector do?
angle-bisectors-3	Transformations and Constructions	Constructing Angle Bisectors	An angle is 80°. Its angle bisector creates two angles of:
angle-bisectors-4	Transformations and Constructions	Constructing Angle Bisectors	An angle is 120°. What is each smaller angle after bisecting?
angle-bisectors-5	Transformations and Constructions	Constructing Angle Bisectors	When starting an angle bisector construction, where should the compass point be placed?
angle-bisectors-7	Transformations and Constructions	Constructing Angle Bisectors	A point on an angle bisector is:
angle-bisectors-8	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector of a 90° angle creates two angles of:
angle-bisectors-typed-1	Transformations and Constructions	Constructing Angle Bisectors	An angle is 70°. What is each angle after it is bisected?
angle-bisectors-typed-2	Transformations and Constructions	Constructing Angle Bisectors	What is the name of the construction that splits an angle into two equal angles?
loci-1	Transformations and Constructions	Loci	The locus of points 4 cm from a fixed point is:
loci-5	Transformations and Constructions	Loci	Points equidistant from two points A and B lie on:
loci-6	Transformations and Constructions	Loci	Points equidistant from two crossing lines lie on:
loci-7	Transformations and Constructions	Loci	Which word best describes a locus?
loci-typed-2	Transformations and Constructions	Loci	What construction gives all points the same distance from two points A and B?
pythagoras-4	Pythagoras and Trigonometry	Pythagoras’ Theorem	Which side is the hypotenuse?
bar-charts-4	Statistics and Probability	Bar Charts	On a bar chart, what should each bar height show?
pictograms-7	Statistics and Probability	Pictograms	One symbol represents 3 sandwiches. How many symbols are needed for 15 sandwiches?
pictograms-8	Statistics and Probability	Pictograms	One symbol represents 4 tickets. How many symbols are needed for 10 tickets?
pictograms-typed-1	Statistics and Probability	Pictograms	In a pictogram, one symbol represents 5 pupils. How many pupils do 3.5 symbols represent?
probability-scale-4	Statistics and Probability	Probability Scale	Which value is not possible as a probability?
probability-scale-5	Statistics and Probability	Probability Scale	Which is more likely: 0.3 or 0.8?
probability-scale-7	Statistics and Probability	Probability Scale	Which probability is the most unlikely?
listing-outcomes-1	Statistics and Probability	Listing Outcomes	A fair coin is flipped once. How many possible outcomes are there?
listing-outcomes-5	Statistics and Probability	Listing Outcomes	Two coins are flipped. Which list shows all possible outcomes?
listing-outcomes-6	Statistics and Probability	Listing Outcomes	A shirt comes in red or blue and sizes S, M, L. How many choices are possible?
listing-outcomes-8	Statistics and Probability	Listing Outcomes	A spinner has numbers 1, 2 and 3. A coin is flipped. How many combined outcomes are there?
listing-outcomes-typed-1	Statistics and Probability	Listing Outcomes	A cafe offers 4 drinks and 2 snacks. How many drink-snack combinations are possible?
listing-outcomes-typed-2	Statistics and Probability	Listing Outcomes	Two fair coins are flipped. Write the number of possible ordered outcomes.
sample-space-2	Statistics and Probability	Sample Space Diagrams	A redblue spinner and a 1/2/3 spinner are spun. How many combined outcomes are there?
sample-space-7	Statistics and Probability	Sample Space Diagrams	A coin and a six-sided dice are used. How many combined outcomes are possible?
sample-space-8	Statistics and Probability	Sample Space Diagrams	Two dice are rolled. How many outcomes have a total of 2?
sample-space-typed-1	Statistics and Probability	Sample Space Diagrams	A spinner has A, B and C. Another spinner has 1 and 2. How many possible outcomes are there?
sample-space-typed-2	Statistics and Probability	Sample Space Diagrams	Two fair coins are flipped. Write the probability of getting exactly one head as a fraction.
scatter-graphs-3	Statistics and Probability	Scatter Graphs	What is a line of best fit used for?
scatter-graphs-8	Statistics and Probability	Scatter Graphs	Using a line of best fit to estimate between known data values is called:
exam-coordinates-1	Algebra	Coordinates	A point has x-coordinate -4 and y-coordinate 3. Write the coordinate.
exam-plotting-coordinates-1	Algebra	Plotting Coordinates	A point is 6 left and 3 down from the origin. Write its coordinate.
exam-gradient-y-intercept-1	Algebra	Interpreting Gradient and Y-Intercept	In the equation y = 3x - 5, write down the y-intercept.
exam-real-life-graphs-1	Algebra	Real-Life Graphs	A car travels 90 miles in 3 hours. Find its average speed in mph.
exam-conversion-graphs-1	Algebra	Conversion Graphs	Using 1 mile is about 1.6 km, estimate 15 miles in km.
exam-scales-reading-measures-1	Geometry and Measures	Scales and Reading Measures	A measuring cylinder has 5 equal spaces between 200 ml and 300 ml. What is each space worth?
exam-properties-2d-shapes-1	Geometry and Measures	Properties of 2D Shapes	Name the quadrilateral with four equal sides and four right angles.
exam-rotations-1	Transformations and Constructions	Rotations	Point B is at (2, -3). Rotate B 180° around the origin. Write the image coordinate.
exam-perpendicular-bisectors-1	Transformations and Constructions	Constructing Perpendicular Bisectors	A line segment AB is 14 cm long. How far from A does its perpendicular bisector cross AB?
exam-angle-bisectors-1	Transformations and Constructions	Constructing Angle Bisectors	An angle of 110° is bisected. What is the size of each smaller angle?
exam-listing-outcomes-1	Statistics and Probability	Listing Outcomes	A cafe has 3 sandwich choices and 4 drink choices. How many sandwich-drink combinations are possible?
exam-sample-space-diagrams-1	Statistics and Probability	Sample Space Diagrams	Two fair coins are flipped. Write the probability of getting exactly one tail as a fraction.
exam-scatter-graphs-1	Statistics and Probability	Scatter Graphs	A scatter graph shows that as temperature increases, ice cream sales tend to increase. Write the type of correlation.
depth-algebra-gradient-y-intercept-fluency-149	Algebra	Interpreting Gradient and Y-Intercept	Work out: Which line is steepest?
depth-geometry-area-compound-shapes-reasoning-416	Geometry and Measures	Area of Compound Shapes	What is a good first step when finding the area of a compound shape? Which statement best explains the method used?
depth-geometry-area-compound-shapes-challenge-421	Geometry and Measures	Area of Compound Shapes	What is a good first step when finding the area of a compound shape? Give your answer carefully, including any units or required rounding.
depth-geometry-volume-cuboids-reasoning-425	Geometry and Measures	Volume of Cuboids	What unit is suitable for the volume of a cuboid measured in centimetres? Which statement best explains the method used?
depth-geometry-volume-cuboids-challenge-430	Geometry and Measures	Volume of Cuboids	What unit is suitable for the volume of a cuboid measured in centimetres? Give your answer carefully, including any units or required rounding.
exp-algebra-coordinates-001	Algebra	Coordinates	A shape has a vertex at (-9, 3). The vertex moves 3 left and 1 down. Write down its new coordinate.
exp-algebra-plotting-linear-graphs-001	Algebra	Plotting Linear Graphs	The line has equation y = -2x - 1. Work out y when x = -3.
exp-algebra-gradient-y-intercept-001	Algebra	Interpreting Gradient and Y-Intercept	For the line y = -4x - 4, write down the gradient.
exp-algebra-real-life-graphs-001	Algebra	Real-Life Graphs	The distance-time graph represents a journey taken. Calculate the average speed.
exp-geometry-perimeter-rectangles-compound-shapes-001	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A garden measures 2 m by 8 m. Calculate its perimeter.
exp-geometry-area-rectangles-001	Geometry and Measures	Area of Rectangles	A rectangular floor measures 2 m by 8 m. Calculate its area.
exp-geometry-area-parallelograms-001	Geometry and Measures	Area of Parallelograms	Find the area of the parallelogram.
exp-geometry-area-triangles-001	Geometry and Measures	Area of Triangles	Calculate the area of the triangle.
exp-geometry-area-trapezia-001	Geometry and Measures	Area of Trapezia	Calculate the area of the trapezium.
exp-geometry-scales-reading-measures-001	Geometry and Measures	Scales and Reading Measures	In this measuring cylinder, each large line represents 1ml. How much water is in the measuring cylinder?
exp-geometry-angles-straight-line-around-point-001	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet at a point. Two are 20° and 138°. Calculate the third angle.
exp-geometry-angles-in-triangles-001	Geometry and Measures	Angles in Triangles	Two interior angles of a triangle are 25° and 60°. Calculate the third angle.
exp-geometry-angles-in-quadrilaterals-001	Geometry and Measures	Angles in Quadrilaterals	Three interior angles of a quadrilateral are 65°, 92° and 75°. Calculate the fourth angle.
exp-geometry-properties-2d-shapes-001	Geometry and Measures	Properties of 2D Shapes	What is the name of a quadrilateral with four equal sides and four right angles.
exp-geometry-circumference-circle-001	Geometry and Measures	Circumference of a Circle	A circle has radius 2 cm. Calculate its circumference. Give your answer correct to 1 decimal place.
exp-geometry-area-circle-001	Geometry and Measures	Area of a Circle	A circular sign has radius 2 cm. Calculate its area. Give your answer correct to 1 decimal place.
exp-geometry-area-compound-shapes-001	Geometry and Measures	Area of Compound Shapes	Calculate the area of the compound shape.
exp-geometry-volume-cuboids-001	Geometry and Measures	Volume of Cuboids	A cuboid has length 2 cm, width 8 cm and height 2 cm. Calculate its volume.
exp-geometry-surface-area-cuboids-001	Geometry and Measures	Surface Area of Cuboids	A closed cuboid measures 2 cm by 8 cm by 2 cm. Calculate its total surface area.
exp-transformations-reflections-001	Transformations and Constructions	Reflections	Triangle ABC has vertices A(1, 2), B(3, 2), C(1, 4). It is reflected in the y-axis. Write down the coordinates of A', B' and C'.
exp-transformations-rotations-001	Transformations and Constructions	Rotations	Triangle ABC has vertices A(1, 2), B(3, 2), C(1, 4). It is rotated 180° about the origin. Write down the coordinates of A', B' and C'.
exp-transformations-translations-001	Transformations and Constructions	Translations	Triangle ABC has vertices A(1, 2), B(3, 2), C(1, 4). It is translated by (-1-3). Write down the coordinates of A', B' and C'.
exp-transformations-enlargements-001	Transformations and Constructions	Enlargements	The triangle is enlarged by scale factor 3 from the origin. Which diagram shows the correct transformation?
exp-transformations-plans-and-elevations-001	Transformations and Constructions	Plans and Elevations	A cuboid is 2 cm wide, 8 cm high and 2 cm deep. What are the dimensions of its front elevation?
exp-transformations-drawing-triangles-accurately-001	Transformations and Constructions	Drawing Triangles Accurately	A triangle is specified by three side lengths. Write down the construction information type.
exp-transformations-perpendicular-bisectors-001	Transformations and Constructions	Constructing Perpendicular Bisectors	A line segment is 4 cm long. Its perpendicular bisector crosses the segment at M. Calculate the distance from either endpoint to M.
exp-transformations-angle-bisectors-001	Transformations and Constructions	Constructing Angle Bisectors	An angle of 30° is bisected. Calculate the size of each new angle.
exp-transformations-loci-001	Transformations and Constructions	Loci	Write down the locus of points exactly 2 cm from a fixed point P.
exp-transformations-pythagoras-theorem-001	Pythagoras and Trigonometry	Pythagoras’ Theorem	Calculate the missing side length in this right-angled triangle.
exp-statistics-mean-from-frequency-table-001	Statistics and Probability	Mean from a Frequency Table	The frequency table shows the number of goals scored in a match during the football tournament. Calculate the mean.
exp-statistics-probability-scale-001	Statistics and Probability	Probability Scale	Write 110 as a decimal probability on the scale from 0 to 1.
exp-statistics-listing-outcomes-001	Statistics and Probability	Listing Outcomes	A menu has 2 starters and 5 main courses. A meal contains one starter and one main course. Work out the number of possible meals.
exp-statistics-scatter-graphs-001	Statistics and Probability	Scatter Graphs	A scatter graph shows that as x increases, y generally increases. Write down the type of correlation.
exp-algebra-plotting-linear-graphs-002	Algebra	Plotting Linear Graphs	The line has equation y = -2x - 4. Work out y when x = 1.
exp-algebra-gradient-y-intercept-002	Algebra	Interpreting Gradient and Y-Intercept	For the line y = -1x + 6, write down the y-intercept.
exp-algebra-real-life-graphs-002	Algebra	Real-Life Graphs	Calculate the average speed shown in the distance-time graph.
exp-geometry-area-rectangles-002	Geometry and Measures	Area of Rectangles	A rectangular floor measures 8 m by 6 m. Calculate its area.
exp-geometry-area-parallelograms-002	Geometry and Measures	Area of Parallelograms	Calculate the area of the parallelogram.
exp-geometry-area-triangles-002	Geometry and Measures	Area of Triangles	Calculate the area of the triangle.
exp-geometry-area-trapezia-002	Geometry and Measures	Area of Trapezia	Find the area of the trapezium.
exp-geometry-angles-straight-line-around-point-002	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the size of angle x.
exp-geometry-angles-in-triangles-002	Geometry and Measures	Angles in Triangles	Find the size of angle x.
exp-geometry-angles-in-quadrilaterals-002	Geometry and Measures	Angles in Quadrilaterals	Find the size of the missing angle.
exp-geometry-properties-2d-shapes-002	Geometry and Measures	Properties of 2D Shapes	Write down the name of a triangle with exactly two equal sides.
exp-geometry-circumference-circle-002	Geometry and Measures	Circumference of a Circle	A circular table has radius 1.4 m. Calculate its circumference. Give your answer correct to 1 decimal place.
exp-geometry-area-compound-shapes-002	Geometry and Measures	Area of Compound Shapes	A compound shape is made from an 8 cm by 6 cm rectangle with a 2 cm by 2 cm rectangular corner removed. Calculate the remaining area.
exp-geometry-volume-cuboids-002	Geometry and Measures	Volume of Cuboids	A cuboid has length 8 cm, width 6 cm and height 22 cm. Calculate its volume.
exp-geometry-surface-area-cuboids-002	Geometry and Measures	Surface Area of Cuboids	A closed cuboid measures 8 cm by 6 cm by 22 cm. Calculate its total surface area.
exp-transformations-angle-bisectors-002	Transformations and Constructions	Constructing Angle Bisectors	An angle of 126° is bisected. Calculate the size of each new angle.
exp-transformations-loci-002	Transformations and Constructions	Loci	Write down the locus of points exactly 2 cm from a straight line.
exp-statistics-probability-scale-002	Statistics and Probability	Probability Scale	Write 410 as a decimal probability on the scale from 0 to 1.
exp-statistics-listing-outcomes-002	Statistics and Probability	Listing Outcomes	A menu has 2 starters and 2 main courses. A meal contains one starter and one main course. Work out the number of possible meals.
exp-statistics-sample-space-diagrams-002	Statistics and Probability	Sample Space Diagrams	Spinner A has 5 equally likely outcomes and spinner B has 4. Work out the number of outcomes.
exp-statistics-scatter-graphs-002	Statistics and Probability	Scatter Graphs	A scatter graph shows that as one value increases, the other generally decreases. Write down the type of correlation.
algebra-2026-coordinates-009	Algebra	Coordinates	Point A has coordinates (3, -3). Write down its x-coordinate.
algebra-2026-coordinates-012	Algebra	Coordinates	Point C is (-5, -5). It moves 7 units right. What are its new coordinates?
algebra-2026-coordinates-008	Algebra	Coordinates	Three vertices of a rectangle are (2, 5), (7, 5) and (7, 8). Find the fourth vertex.
algebra-2026-coordinates-013	Algebra	Coordinates	The endpoints of a horizontal line segment are (-4, -2) and (0, -2). Find the midpoint.
algebra-2026-gradient-y-intercept-016	Algebra	Gradient and Y-Intercept	A student says the y-intercept of y = x - 4 is 1. What is the correct y-intercept?
algebra-2026-coordinates-010	Algebra	Coordinates	Point B has coordinates (4, 0). Write down its y-coordinate.
algebra-2026-coordinates-011	Algebra	Coordinates	In which quadrant or location is the point (5, 3)?
algebra-2026-coordinates-005	Algebra	Coordinates	The endpoints of a horizontal line segment are (-1, -4) and (3, -4). Find the midpoint.
algebra-2026-gradient-y-intercept-014	Algebra	Gradient and Y-Intercept	A line has gradient 4 and y-intercept -1. Which equation represents it?
algebra-2026-coordinates-016	Algebra	Coordinates	Three vertices of a rectangle are (-1, -4), (4, -4) and (4, -1). Find the fourth vertex.
algebra-2026-coordinates-004	Algebra	Coordinates	Point C is (-2, 4). It moves 4 units right. What are its new coordinates?
algebra-2026-gradient-y-intercept-015	Algebra	Gradient and Y-Intercept	A line rises 9 units while moving 3 units to the left. Find its gradient.
algebra-2026-gradient-y-intercept-009	Algebra	Gradient and Y-Intercept	For y = 4x + 2, write down the gradient.
algebra-2026-coordinates-007	Algebra	Coordinates	Point D is (1, 2). Which point has the same x-coordinate as D?
algebra-2026-gradient-y-intercept-008	Algebra	Gradient and Y-Intercept	A student says the y-intercept of y = 3x - 1 is 3. What is the correct y-intercept?
algebra-2026-coordinates-014	Algebra	Coordinates	A point lies on the y-axis and has y-coordinate 1. Which coordinates describe the point?
algebra-2026-coordinates-006	Algebra	Coordinates	A point lies on the y-axis and has y-coordinate -1. Which coordinates describe the point?
algebra-2026-gradient-y-intercept-013	Algebra	Gradient and Y-Intercept	Which line has the smallest gradient?
algebra-2026-coordinates-015	Algebra	Coordinates	Point D is (-2, 4). Which point has the same x-coordinate as D?
algebra-2026-coordinates-001	Algebra	Coordinates	Point A has coordinates (-5, -5). Write down its x-coordinate.
algebra-2026-gradient-y-intercept-010	Algebra	Gradient and Y-Intercept	For y = -x - 4, write down the y-intercept.
algebra-2026-coordinates-003	Algebra	Coordinates	In which quadrant or location is the point (-3, 1)?
algebra-2026-coordinates-002	Algebra	Coordinates	Point B has coordinates (-4, -2). Write down its y-coordinate.
algebra-2026-gradient-y-intercept-001	Algebra	Gradient and Y-Intercept	For y = x - 4, write down the gradient.
algebra-2026-plotting-linear-graphs-012	Algebra	Plotting Linear Graphs	For y = 4x + 2, find the coordinate where the graph crosses the y-axis.
algebra-2026-plotting-linear-graphs-014	Algebra	Plotting Linear Graphs	A student plots y = 2x + 1 using x-values -1, 0 and 1. Which three y-values are correct?
algebra-2026-gradient-y-intercept-002	Algebra	Gradient and Y-Intercept	For y = 2x - 1, write down the y-intercept.
algebra-2026-plotting-linear-graphs-015	Algebra	Plotting Linear Graphs	On the line y = 3x - 3, y = 9. Find x.
algebra-2026-gradient-y-intercept-005	Algebra	Gradient and Y-Intercept	Which line is steepest?
algebra-2026-plotting-linear-graphs-016	Algebra	Plotting Linear Graphs	Which table could be used to plot y = 4x?
algebra-2026-gradient-y-intercept-007	Algebra	Gradient and Y-Intercept	A line rises 6 units while moving 3 units to the right. Find its gradient.
algebra-2026-gradient-y-intercept-006	Algebra	Gradient and Y-Intercept	A line has gradient 1 and y-intercept 2. Which equation represents it?
algebra-2026-real-life-graphs-013	Algebra	Real-Life Graphs	Boats A and B are taking part in a 12 km kayak race. The graph shows the distance each boat has travelled. After 12 minutes, how much farther has boat A travelled than boat B?
algebra-2026-real-life-graphs-010	Algebra	Real-Life Graphs	A survey boat moves away from a jetty and then turns back. The graph shows its distance from the jetty. How much closer to the jetty does the boat get between 18 minutes and 30 minutes?
algebra-2026-real-life-graphs-011	Algebra	Real-Life Graphs	A mobile repair technician records the total distance driven during the morning. The graph contains two horizontal sections. During which time interval is the technician stationary for the longest?
algebra-2026-real-life-graphs-001	Algebra	Real-Life Graphs	The graph shows the total distance travelled by a delivery van during the first 35 minutes of its route. How far does the van travel between 15 minutes and 25 minutes?
algebra-2026-real-life-graphs-003	Algebra	Real-Life Graphs	A ferry leaves a harbour. The graph shows its distance from the harbour during the next 30 minutes. During which 10-minute interval does the ferry travel fastest?
algebra-2026-real-life-graphs-002	Algebra	Real-Life Graphs	Ravi is running a 10 km race. The graph shows the distance he has left to run. For how many minutes does Ravi stop?
algebra-2026-real-life-graphs-005	Algebra	Real-Life Graphs	Leah walks from home to a shop and then continues to a sports centre. The graph shows her distance from home. How far is the sports centre from the shop?
algebra-2026-real-life-graphs-004	Algebra	Real-Life Graphs	A tram is 12 km from the end of its route when the graph begins. The graph shows its distance from the terminus. At what time does the tram reach the terminus?
algebra-2026-real-life-graphs-007	Algebra	Real-Life Graphs	The graph shows the total distance travelled by a snowplough during a 90-minute shift. Work out its average speed for the whole shift.
algebra-2026-real-life-graphs-006	Algebra	Real-Life Graphs	Cyclists P and Q travel along the same 24 km route. Their journeys are shown on the same graph. Who finishes first, and by how many minutes?
geometry-2026-area-triangles-09	Geometry and Measures	Area of Triangles	A triangular banner for a youth centre has base 24 cm and perpendicular height 4 cm. Printing costs 6 pence per cm². Calculate the printing cost.
geometry-2026-area-triangles-12	Geometry and Measures	Area of Triangles	A triangle has area 105 m² and base 30 m. Work out its perpendicular height.
geometry-2026-area-triangles-08	Geometry and Measures	Area of Triangles	Find the area of the triangle.
geometry-2026-area-triangles-13	Geometry and Measures	Area of Triangles	Find the area of the triangle.
geometry-2026-scales-reading-measures-08	Geometry and Measures	Scales and Reading Measures	A measuring cylinder is labelled 90 ml and 122 ml with 8 equal spaces. The liquid is at the 1st small mark above 90 ml. Work out the reading.
geometry-2026-area-triangles-10	Geometry and Measures	Area of Triangles	Two triangles have the same perpendicular height. Their bases are in the ratio 3:4, so their areas are in the same ratio. Their total area is 455 cm². Find the area of the larger triangle.
geometry-2026-scales-reading-measures-09	Geometry and Measures	Scales and Reading Measures	A map uses the scale 1 cm represents 8 km. Two landmarks are 4 cm apart on the map. Calculate their actual distance.
geometry-2026-area-triangles-11	Geometry and Measures	Area of Triangles	Calculate the area of a triangle with base 28 cm and perpendicular height 6 cm.
geometry-2026-area-triangles-05	Geometry and Measures	Area of Triangles	Two triangles have the same perpendicular height. Their bases are in the ratio 2:3, so their areas are in the same ratio. Their total area is 320 cm². Find the area of the larger triangle.
geometry-2026-area-triangles-16	Geometry and Measures	Area of Triangles	Calculate the area of a triangle with base 38 cm and perpendicular height 11 cm.
geometry-2026-area-triangles-04	Geometry and Measures	Area of Triangles	A triangular banner for a village hall has base 14 cm and perpendicular height 7 cm. Printing costs 6 pence per cm². Calculate the printing cost.
geometry-2026-area-triangles-17	Geometry and Measures	Area of Triangles	A triangle has area 80 m² and base 40 m. Work out its perpendicular height.
geometry-2026-area-triangles-07	Geometry and Measures	Area of Triangles	A triangle has area 100 m² and base 20 m. Work out its perpendicular height.
geometry-2026-area-triangles-14	Geometry and Measures	Area of Triangles	A triangular banner for an outdoor pool has base 34 cm and perpendicular height 9 cm. Printing costs 6 pence per cm². Calculate the printing cost.
geometry-2026-area-triangles-06	Geometry and Measures	Area of Triangles	Calculate the area of a triangle with base 18 cm and perpendicular height 9 cm.
geometry-2026-scales-reading-measures-19	Geometry and Measures	Scales and Reading Measures	A map uses the scale 1 cm represents 8 km. Two landmarks are shown on the map. Calculate their actual distance.
geometry-2026-area-triangles-15	Geometry and Measures	Area of Triangles	Two triangles have the same perpendicular height. Their bases are in the ratio 4:5, so their areas are in the same ratio. Their total area is 1620 cm². Find the area of the larger triangle.
geometry-2026-area-triangles-01	Geometry and Measures	Area of Triangles	Calculate the area of a triangle with base 8 cm and perpendicular height 4 cm.
geometry-2026-scales-reading-measures-02	Geometry and Measures	Scales and Reading Measures	What temperature does the thermometer show?
geometry-2026-scales-reading-measures-18	Geometry and Measures	Scales and Reading Measures	A measuring cylinder is labelled 190 ml and 214 ml with 6 equal spaces. The liquid is at the 3th small mark above 190 ml. Work out the reading.
geometry-2026-scales-reading-measures-03	Geometry and Measures	Scales and Reading Measures	A measuring cylinder is labelled 40 ml and 68 ml with 7 equal spaces. The liquid is at the 3th small mark above 40 ml. Work out the reading.
geometry-2026-area-circle-02	Geometry and Measures	Area of a Circle	A circle has diameter 8 m. Find its area in terms of π.
geometry-2026-area-triangles-03	Geometry and Measures	Area of Triangles	Find the area of the triangle.
geometry-2026-area-circle-03	Geometry and Measures	Area of a Circle	A semicircle has radius 6 cm. Calculate its area in terms of π.
geometry-2026-area-triangles-02	Geometry and Measures	Area of Triangles	A triangle has area 25 m² and base 10 m. Work out its perpendicular height.
geometry-2026-scales-reading-measures-01	Geometry and Measures	Scales and Reading Measures	A measuring scale has labelled marks at 20 g and 30 g with 5 equal intervals between them. What is the value of each interval?
geometry-2026-scales-reading-measures-15	Geometry and Measures	Scales and Reading Measures	A circular dial is marked from 0 to 240 in 10 equal divisions. The pointer is on division 5 after zero. Find the reading.
geometry-2026-scales-reading-measures-06	Geometry and Measures	Scales and Reading Measures	A measuring scale has labelled marks at 70 g and 82 g. What is the value of each interval?
geometry-2026-scales-reading-measures-14	Geometry and Measures	Scales and Reading Measures	What is the real-life distance of the castle from the church?
geometry-2026-area-circle-01	Geometry and Measures	Area of a Circle	A circle has radius 3 cm. Calculate its area in terms of π.
geometry-2026-scales-reading-measures-07	Geometry and Measures	Scales and Reading Measures	What temperature is the thermometer showing?
geometry-2026-scales-reading-measures-17	Geometry and Measures	Scales and Reading Measures	What temperature does the thermometer show?
geometry-2026-area-circle-06	Geometry and Measures	Area of a Circle	A circle has radius 8 cm. Calculate its area in terms of π.
geometry-2026-scales-reading-measures-04	Geometry and Measures	Scales and Reading Measures	What is the real-life distance of the windmill from the lighthouse?
geometry-2026-scales-reading-measures-16	Geometry and Measures	Scales and Reading Measures	A measuring scale has labelled marks at 170 g and 186 g with 8 equal intervals between them. What is the value of each interval?
geometry-2026-area-circle-07	Geometry and Measures	Area of a Circle	A circle has diameter 18 m. Find its area in terms of π.
geometry-2026-scales-reading-measures-05	Geometry and Measures	Scales and Reading Measures	A circular dial is marked from 0 to 140 in 10 equal divisions. The pointer is on division 7 after zero. Find the reading.
geometry-2026-scales-reading-measures-11	Geometry and Measures	Scales and Reading Measures	A measuring scale has labelled marks at 120 g and 134 g with 7 equal intervals between them. What is the value of each interval?
geometry-2026-area-circle-04	Geometry and Measures	Area of a Circle	A circular mural at a village hall has radius 6 m. Painting costs £5 for each square metre. Write the exact total cost in terms of π.
geometry-2026-scales-reading-measures-10	Geometry and Measures	Scales and Reading Measures	A circular dial is marked from 0 to 190 in 10 equal divisions. The pointer is on division 6 after zero. What number is it pointing at?
geometry-2026-area-circle-05	Geometry and Measures	Area of a Circle	The radii of two circles are in the ratio 1:2. The smaller circle has area 4π cm². Find the area of the larger circle.
geometry-2026-properties-2d-shapes-21	Geometry and Measures	Properties of 2D Shapes	A regular polygon has exterior angle 24°. Calculate its number of sides.
geometry-2026-scales-reading-measures-13	Geometry and Measures	Scales and Reading Measures	How much liquid is in the cylinder?
geometry-2026-properties-2d-shapes-20	Geometry and Measures	Properties of 2D Shapes	Work out one exterior angle of a regular hexagon.
geometry-2026-scales-reading-measures-12	Geometry and Measures	Scales and Reading Measures	A thermometer scale runs from 130°C to 154°C in 8 equal intervals. The liquid level is at the 5th interval after 130°C. Read the temperature.
geometry-2026-properties-2d-shapes-23	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral has diagonals that are equal and bisect each other, but do not normally meet at right angles?
geometry-2026-area-circle-08	Geometry and Measures	Area of a Circle	A semicircle has radius 10 cm. Calculate its area in terms of π.
geometry-2026-properties-2d-shapes-22	Geometry and Measures	Properties of 2D Shapes	The sum of the interior angles of a polygon is 1260°. Calculate the number of sides.
geometry-2026-area-circle-09	Geometry and Measures	Area of a Circle	A circular mural at a youth centre has radius 11 m. Painting costs £2 for each square metre. Write the exact total cost in terms of π.
geometry-2026-properties-2d-shapes-25	Geometry and Measures	Properties of 2D Shapes	Each interior angle of a regular polygon is 150°. Calculate the number of sides.
geometry-2026-properties-2d-shapes-24	Geometry and Measures	Properties of 2D Shapes	How many lines of symmetry does a typical kite have?
geometry-2026-area-circle-24	Geometry and Measures	Area of a Circle	A circular mural at a rescue shelter has radius 26 m. Painting costs £5 for each square metre. Write the exact total cost in terms of π.
geometry-2026-area-circle-25	Geometry and Measures	Area of a Circle	The radii of two circles are in the ratio 1:2. The smaller circle has area 36π cm². Find the area of the larger circle.
geometry-2026-area-compound-shapes-11	Geometry and Measures	Area of Compound Shapes	Calculate the area of the L-shape.
geometry-2026-area-compound-shapes-10	Geometry and Measures	Area of Compound Shapes	A compound display is split into two non-overlapping sections whose areas are in the ratio 2:3. The smaller section has area 378 cm². Calculate the total area.
geometry-2026-area-compound-shapes-13	Geometry and Measures	Area of Compound Shapes	A compound shape consists of a 24 cm by 13 cm rectangle and a triangle attached to the rectangle's 13 cm side. The full base of the triangle is the shared 13 cm edge. The triangle has perpendicular height 4 cm. Find the total area.
geometry-2026-angles-in-triangles-24	Geometry and Measures	Angles in Triangles	A triangular support at a rescue shelter has one right angle and another angle of 58°. Calculate the third angle.
geometry-2026-area-circle-20	Geometry and Measures	Area of a Circle	The radii of two circles are in the ratio 1:2. The smaller circle has area 25π cm². Find the area of the larger circle.
geometry-2026-area-compound-shapes-12	Geometry and Measures	Area of Compound Shapes	Calculate the area of the shape.
geometry-2026-angles-in-triangles-25	Geometry and Measures	Angles in Triangles	The three angles in a triangle are in the ratio 4:5:6. Calculate the largest angle.
geometry-2026-area-circle-21	Geometry and Measures	Area of a Circle	A circle has radius 23 cm. Calculate its area in terms of π.
geometry-2026-area-compound-shapes-15	Geometry and Measures	Area of Compound Shapes	A compound display is split into two non-overlapping sections whose areas are in the ratio 2:3. The smaller section has area 360 cm². Calculate the total area.
geometry-2026-area-circle-22	Geometry and Measures	Area of a Circle	A circle has diameter 48 m. Find its area in terms of π.
geometry-2026-area-compound-shapes-14	Geometry and Measures	Area of Compound Shapes	A centred rectangular recess measuring 6 m wide and 3 m deep is removed from the top edge of a 25 m by 14 m rectangle. Flooring costs £4 per m². Calculate the total cost.
geometry-2026-area-circle-23	Geometry and Measures	Area of a Circle	A semicircle has radius 26 cm. Calculate its area in terms of π.
geometry-2026-area-compound-shapes-17	Geometry and Measures	Area of Compound Shapes	A centred rectangular recess measuring 4 cm deep and 2 cm high is removed from the right-hand edge of a 28 cm by 10 cm rectangle. Calculate the area of the remaining shape.
geometry-2026-angles-in-triangles-20	Geometry and Measures	Angles in Triangles	The three angles in a triangle are in the ratio 2:5:8. Calculate the largest angle.
geometry-2026-area-compound-shapes-16	Geometry and Measures	Area of Compound Shapes	A 3 cm by 5 cm rectangle is removed completely from the centre of a 27 cm by 9 cm rectangle, leaving a rectangular frame. Calculate the area of the remaining shape.
geometry-2026-angles-in-triangles-21	Geometry and Measures	Angles in Triangles	A triangle has angles 55° and 65°. Calculate its third angle.
geometry-2026-area-compound-shapes-19	Geometry and Measures	Area of Compound Shapes	A 6 m by 4 m rectangle is removed from the top-right corner of a 30 m by 12 m rectangle, forming an L-shape. Flooring costs £5 per m². Calculate the total cost.
geometry-2026-angles-in-triangles-22	Geometry and Measures	Angles in Triangles	An isosceles triangle has vertex angle 82°. Work out the size of each equal base angle.
geometry-2026-area-compound-shapes-18	Geometry and Measures	Area of Compound Shapes	A compound shape consists of a 29 cm by 11 cm rectangle and a triangle attached to the rectangle's 11 cm side. The triangle has perpendicular height 8 cm. Find the total area.
geometry-2026-angles-in-triangles-23	Geometry and Measures	Angles in Triangles	Two opposite interior angles of a triangle are 57° and 71°. Find the exterior angle at the third vertex.
geometry-2026-area-trapezia-04	Geometry and Measures	Area of Trapezia	A trapezium-shaped flower bed at a village hall has parallel sides 9 m and 16 m and height 7 m. Soil costs £5 per square metre. Calculate the total cost.
geometry-2026-area-trapezia-05	Geometry and Measures	Area of Trapezia	Every length of a trapezium with area 112 mm² is doubled. Calculate the area of the enlarged trapezium.
geometry-2026-area-parallelograms-02	Geometry and Measures	Area of Parallelograms	The area of a parallelogram is 32 m² and its base is 8 m. Find its perpendicular height.
geometry-2026-area-trapezia-06	Geometry and Measures	Area of Trapezia	A trapezium has parallel sides 11 cm and 15 cm, with perpendicular height 9 cm. Calculate its area.
geometry-2026-area-parallelograms-03	Geometry and Measures	Area of Parallelograms	Work out its area of the parallelogram.
geometry-2026-area-trapezia-07	Geometry and Measures	Area of Trapezia	A trapezium has area 145 m², parallel sides 12 m and 17 m. Find its perpendicular height.
geometry-2026-area-trapezia-17	Geometry and Measures	Area of Trapezia	A trapezium has area 147 m², parallel sides 22 m and 27 m. Find its perpendicular height.
geometry-2026-area-trapezia-16	Geometry and Measures	Area of Trapezia	A trapezium has parallel sides 21 cm and 25 cm, with perpendicular height 5 cm. Calculate its area.
geometry-2026-area-parallelograms-01	Geometry and Measures	Area of Parallelograms	A parallelogram has base 7 cm and perpendicular height 3 cm. Calculate its area.
geometry-2026-area-parallelograms-15	Geometry and Measures	Area of Parallelograms	A parallelogram has area 168 cm². Its base and perpendicular height are both multiplied by 4. Find the new area.
geometry-2026-area-trapezia-01	Geometry and Measures	Area of Trapezia	A trapezium has parallel sides 6 cm and 10 cm, with perpendicular height 4 cm. Calculate its area.
geometry-2026-area-trapezia-15	Geometry and Measures	Area of Trapezia	Every length of a trapezium with area 96 mm² is doubled. Calculate the area of the enlarged trapezium.
geometry-2026-area-parallelograms-06	Geometry and Measures	Area of Parallelograms	A parallelogram has base 12 cm and perpendicular height 8 cm. Calculate its area.
geometry-2026-area-parallelograms-14	Geometry and Measures	Area of Parallelograms	A parallelogram-shaped panel at an outdoor pool has base 20 m and perpendicular height 7 m. One tin of paint covers 3 m². How many tins are needed if only whole tins can be bought?
geometry-2026-area-trapezia-02	Geometry and Measures	Area of Trapezia	A trapezium has area 47.5 m², parallel sides 7 m and 12 m. Find its perpendicular height.
geometry-2026-area-trapezia-14	Geometry and Measures	Area of Trapezia	A trapezium-shaped flower bed at an outdoor pool has parallel sides 19 m and 26 m and height 10 m. Soil costs £5 per square metre. Calculate the total cost.
geometry-2026-area-parallelograms-07	Geometry and Measures	Area of Parallelograms	The area of a parallelogram is 117 m² and its base is 13 m. Find its perpendicular height.
geometry-2026-area-parallelograms-17	Geometry and Measures	Area of Parallelograms	The area of a parallelogram is 230 m² and its base is 23 m. Find its perpendicular height.
geometry-2026-area-trapezia-03	Geometry and Measures	Area of Trapezia	The area of a trapezium is 66 cm². One parallel side is 8 cm and the perpendicular height is 6 cm. Work out the length of the other parallel side.
geometry-2026-area-trapezia-13	Geometry and Measures	Area of Trapezia	The area of a trapezium is 189 cm². One parallel side is 18 cm and the perpendicular height is 9 cm. Work out the length of the other parallel side.
geometry-2026-area-parallelograms-04	Geometry and Measures	Area of Parallelograms	A parallelogram-shaped panel at a village hall has base 10 m and perpendicular height 6 m. One tin covers 5 m². How many tins are needed if only whole tins can be bought?
geometry-2026-area-parallelograms-16	Geometry and Measures	Area of Parallelograms	A parallelogram has base 22 cm and perpendicular height 9 cm. Calculate its area.
geometry-2026-area-compound-shapes-08	Geometry and Measures	Area of Compound Shapes	A compound shape consists of a 19 cm by 8 cm rectangle and a triangle attached to the rectangle's 8 cm side. The triangle has perpendicular height 6 cm. Find the total area.
geometry-2026-area-trapezia-12	Geometry and Measures	Area of Trapezia	A trapezium has area 156 m², parallel sides 17 m and 22 m. Find its perpendicular height.
geometry-2026-area-parallelograms-05	Geometry and Measures	Area of Parallelograms	A parallelogram has area 77 cm². Its base and perpendicular height are both multiplied by 3. Find the new area.
geometry-2026-area-parallelograms-11	Geometry and Measures	Area of Parallelograms	A parallelogram has base 17 cm and perpendicular height 4 cm. Calculate its area.
geometry-2026-volume-cuboids-04	Geometry and Measures	Volume of Cuboids	A village hall packs 5 identical cuboid containers, each measuring 9 cm by 6 cm by 5 cm. Find their total volume.
geometry-2026-area-compound-shapes-09	Geometry and Measures	Area of Compound Shapes	An L-shaped floor at a youth centre is made from a 20 m by 9 m rectangle with a 6 m by 2 m section removed. Flooring costs £3 per m². Calculate the total cost.
geometry-2026-area-trapezia-11	Geometry and Measures	Area of Trapezia	A trapezium has parallel sides 16 cm and 20 cm, with perpendicular height 7 cm. Calculate its area.
geometry-2026-area-parallelograms-10	Geometry and Measures	Area of Parallelograms	A parallelogram has area 48 cm². Its base and perpendicular height are both multiplied by 2. Find the new area.
geometry-2026-volume-cuboids-05	Geometry and Measures	Volume of Cuboids	The length, width and height of a cuboid are in the ratio 2:3:4. The shortest edge is 4 cm. Calculate the volume.
geometry-2026-area-compound-shapes-06	Geometry and Measures	Area of Compound Shapes	A diagram is to show an L-shape formed from a 17 cm by 13 cm rectangle with a 3 cm by 3 cm rectangle removed from the top-right corner. Calculate the area of the L-shape.
geometry-2026-area-trapezia-10	Geometry and Measures	Area of Trapezia	Every length of a trapezium with area 114 mm² is doubled. Calculate the area of the enlarged trapezium.
geometry-2026-area-parallelograms-13	Geometry and Measures	Area of Parallelograms	A parallelogram has base 19 mm, sloping side 8 mm and perpendicular height 6 mm. Work out its area.
geometry-2026-volume-cuboids-06	Geometry and Measures	Volume of Cuboids	Calculate the volume of a cuboid measuring 11 cm by 8 cm by 2 cm.
geometry-2026-area-compound-shapes-07	Geometry and Measures	Area of Compound Shapes	A 4 cm by 4 cm rectangle is removed from the top-right corner of a 18 cm by 14 cm rectangle, forming an L-shape. Calculate the area of the remaining shape.
geometry-2026-area-parallelograms-08	Geometry and Measures	Area of Parallelograms	Find the area of the parallelogram.
geometry-2026-area-parallelograms-12	Geometry and Measures	Area of Parallelograms	The area of a parallelogram is 90 m² and its base is 18 m. Find its perpendicular height.
geometry-2026-volume-cuboids-07	Geometry and Measures	Volume of Cuboids	A cuboid has volume 324 m³, length 12 m and width 9 m. Find its height.
geometry-2026-area-compound-shapes-04	Geometry and Measures	Area of Compound Shapes	An L-shaped floor at a village hall is made from a 15 m by 11 m rectangle with a 6 m by 5 m section removed. Flooring costs £6 per m². Calculate the total cost.
geometry-2026-area-trapezia-08	Geometry and Measures	Area of Trapezia	The area of a trapezium is 64 cm². One parallel side is 13 cm and the perpendicular height is 4 cm. Work out the length of the other parallel side.
geometry-2026-area-parallelograms-09	Geometry and Measures	Area of Parallelograms	A parallelogram-shaped panel at a youth centre has base 15 m and perpendicular height 11 m. One tin of paint covers 2 m². How many tins are needed if only whole tins can be bought?
geometry-2026-area-compound-shapes-05	Geometry and Measures	Area of Compound Shapes	A compound display is split into two non-overlapping sections whose areas are in the ratio 2:3. The smaller section has area 356 cm². Calculate the total area.
geometry-2026-area-trapezia-09	Geometry and Measures	Area of Trapezia	A trapezium-shaped flower bed at a youth centre has parallel sides 14 m and 21 m and height 5 m. Soil costs £5 per square metre. Calculate the total cost.
geometry-2026-area-rectangles-19	Geometry and Measures	Area of Rectangles	A rectangular floor at a recycling centre measures 26 m by 11 m. Flooring costs £4 per square metre. Calculate the total cost.
geometry-2026-volume-cuboids-01	Geometry and Measures	Volume of Cuboids	Calculate the volume of a cuboid measuring 6 cm by 3 cm by 2 cm.
geometry-2026-area-compound-shapes-02	Geometry and Measures	Area of Compound Shapes	A diagram is to show an L-shape formed from a 13 cm by 9 cm rectangle with a 4 cm by 3 cm rectangle removed from the top-right corner. Calculate the area of the L-shape.
geometry-2026-area-trapezia-22	Geometry and Measures	Area of Trapezia	A trapezium has area 118 m², parallel sides 27 m and 32 m. Find its perpendicular height.
geometry-2026-area-rectangles-18	Geometry and Measures	Area of Rectangles	Find the area of a square with side length 23 mm.
geometry-2026-volume-cuboids-02	Geometry and Measures	Volume of Cuboids	A cuboid has volume 84 m³, length 7 m and width 4 m. Find its height.
geometry-2026-area-compound-shapes-03	Geometry and Measures	Area of Compound Shapes	A compound shape consists of a 14 cm by 10 cm rectangle and a triangle attached to the rectangle's 10 cm side. The triangle has perpendicular height 8 cm. Find the total area.
geometry-2026-area-trapezia-23	Geometry and Measures	Area of Trapezia	The area of a trapezium is 155 cm². One parallel side is 28 cm and the perpendicular height is 5 cm. Work out the length of the other parallel side.
geometry-2026-volume-cuboids-03	Geometry and Measures	Volume of Cuboids	A solid cuboid measures 8 cm by 5 cm by 4 cm. How many 1 cm³ cubes are needed to build it?
geometry-2026-area-trapezia-20	Geometry and Measures	Area of Trapezia	Every length of a trapezium with area 261 mm² is doubled. Calculate the area of the enlarged trapezium.
geometry-2026-area-parallelograms-19	Geometry and Measures	Area of Parallelograms	A parallelogram-shaped panel at a recycling centre has base 25 m and perpendicular height 3 m. One tin of paint covers 4 m². How many tins are needed if only whole tins can be bought?
geometry-2026-area-compound-shapes-01	Geometry and Measures	Area of Compound Shapes	Calculate the area of the shape.
geometry-2026-area-trapezia-19	Geometry and Measures	Area of Trapezia	A trapezium-shaped flower bed at a recycling centre has parallel sides 24 m and 31 m and height 8 m. Soil costs £5 per square metre. Calculate the total cost.
geometry-2026-area-trapezia-21	Geometry and Measures	Area of Trapezia	A trapezium has parallel sides 26 cm and 30 cm, with perpendicular height 10 cm. Calculate its area.
geometry-2026-area-parallelograms-18	Geometry and Measures	Area of Parallelograms	A parallelogram has base 24 mm, sloping side 13 mm and perpendicular height 11 mm. Work out its area.
geometry-2026-area-trapezia-18	Geometry and Measures	Area of Trapezia	The area of a trapezium is 182 cm². One parallel side is 23 cm and the perpendicular height is 7 cm. Work out the length of the other parallel side.
geometry-2026-area-rectangles-13	Geometry and Measures	Area of Rectangles	Find the area of a square with side length 18 mm.
geometry-2026-area-trapezia-24	Geometry and Measures	Area of Trapezia	A trapezium-shaped flower bed at a rescue shelter has parallel sides 29 m and 36 m and height 6 m. Soil costs £5 per square metre. Calculate the total cost.
geometry-2026-area-rectangles-12	Geometry and Measures	Area of Rectangles	A rectangle has area 76 m² and length 19 m. Work out its width.
geometry-2026-volume-cuboids-08	Geometry and Measures	Volume of Cuboids	A solid cuboid measures 13 cm by 3 cm by 4 cm. How many 1 cm³ cubes are needed to build it?
geometry-2026-area-trapezia-25	Geometry and Measures	Area of Trapezia	Every length of a trapezium with area 238 mm² is doubled. Calculate the area of the enlarged trapezium.
geometry-2026-area-rectangles-11	Geometry and Measures	Area of Rectangles	Calculate the area of a rectangle with length 18 cm and width 3 cm.
geometry-2026-volume-cuboids-09	Geometry and Measures	Volume of Cuboids	A youth centre packs 5 identical cuboid containers, each measuring 14 cm by 4 cm by 5 cm. Find their total volume.
geometry-2026-area-rectangles-10	Geometry and Measures	Area of Rectangles	The length and width of a rectangular display are in the ratio 4:2. The width is 14 cm. Calculate the area of the display.
geometry-2026-area-rectangles-17	Geometry and Measures	Area of Rectangles	A rectangle has area 216 m² and length 24 m. Work out its width.
geometry-2026-area-rectangles-16	Geometry and Measures	Area of Rectangles	Calculate the area of a rectangle with length 23 cm and width 8 cm.
geometry-2026-area-rectangles-24	Geometry and Measures	Area of Rectangles	A rectangular floor at a rescue shelter measures 31 m by 6 m. Flooring costs £9 per square metre. Calculate the total cost.
geometry-2026-area-rectangles-15	Geometry and Measures	Area of Rectangles	The length and width of a rectangular display are in the ratio 5:2. The width is 12 cm. Calculate the area of the display.
geometry-2026-area-rectangles-25	Geometry and Measures	Area of Rectangles	The length and width of a rectangular display are in the ratio 3:2. The width is 8 cm. Calculate the area of the display.
geometry-2026-area-rectangles-14	Geometry and Measures	Area of Rectangles	A rectangular floor at an outdoor pool measures 21 m by 6 m. Flooring costs £5 per square metre. Calculate the total cost.
geometry-2026-area-rectangles-22	Geometry and Measures	Area of Rectangles	A rectangle has area 116 m² and length 29 m. Work out its width.
geometry-2026-area-rectangles-23	Geometry and Measures	Area of Rectangles	Find the area of a square with side length 28 mm.
geometry-2026-area-rectangles-20	Geometry and Measures	Area of Rectangles	The length and width of a rectangular display are in the ratio 6:2. The width is 10 cm. Calculate the area of the display.
geometry-2026-area-rectangles-21	Geometry and Measures	Area of Rectangles	Calculate the area of a rectangle with length 28 cm and width 3 cm.
geometry-2026-surface-area-cuboids-05	Geometry and Measures	Surface Area of Cuboids	Every edge of a cuboid with surface area 344 cm² is doubled. Calculate the new surface area.
geometry-2026-angles-in-quadrilaterals-25	Geometry and Measures	Angles in Quadrilaterals	The angles of a quadrilateral are in the ratio 5:6:7:12. Calculate the largest angle.
geometry-2026-surface-area-cuboids-04	Geometry and Measures	Surface Area of Cuboids	A closed cuboid display box at a village hall measures 9 m by 6 m by 5 m. Covering material costs £5 per m². Find the total cost.
geometry-2026-angles-in-quadrilaterals-24	Geometry and Measures	Angles in Quadrilaterals	A four-sided frame at a rescue shelter has interior angles 93°, 103°, 118° and x°. Calculate x.
geometry-2026-surface-area-cuboids-07	Geometry and Measures	Surface Area of Cuboids	Find the surface area of a cube with edge length 10 mm.
geometry-2026-angles-in-quadrilaterals-23	Geometry and Measures	Angles in Quadrilaterals	A kite has one angle of 82°, a second angle of 102°, and two equal remaining angles. Find either equal angle.
geometry-2026-surface-area-cuboids-06	Geometry and Measures	Surface Area of Cuboids	Calculate the total surface area of a cuboid measuring 11 cm by 8 cm by 2 cm.
geometry-2026-angles-in-quadrilaterals-22	Geometry and Measures	Angles in Quadrilaterals	One interior angle of a parallelogram is 71°. Work out an adjacent interior angle.
geometry-2026-angles-in-quadrilaterals-18	Geometry and Measures	Angles in Quadrilaterals	A kite has one angle of 77°, a second angle of 97°, and two equal remaining angles. Find either equal angle.
geometry-2026-surface-area-cuboids-01	Geometry and Measures	Surface Area of Cuboids	Calculate the total surface area of a cuboid measuring 6 cm by 3 cm by 2 cm.
geometry-2026-angles-in-quadrilaterals-21	Geometry and Measures	Angles in Quadrilaterals	Three angles in a quadrilateral are 90°, 100° and 115°. Find the fourth angle.
geometry-2026-angles-in-quadrilaterals-19	Geometry and Measures	Angles in Quadrilaterals	A four-sided frame has interior angles 88°, 98°, 113° and x°. Calculate x.
geometry-2026-angles-in-quadrilaterals-20	Geometry and Measures	Angles in Quadrilaterals	The angles of a quadrilateral are in the ratio 2:4:5:9. Calculate the largest angle.
geometry-2026-surface-area-cuboids-03	Geometry and Measures	Surface Area of Cuboids	An open-top cuboid box measures 8 cm by 5 cm by 4 cm. Calculate the area of card needed, excluding overlaps.
geometry-2026-surface-area-cuboids-02	Geometry and Measures	Surface Area of Cuboids	Find the surface area of a cube with edge length 5 mm.
geometry-2026-angles-in-quadrilaterals-12	Geometry and Measures	Angles in Quadrilaterals	One interior angle of a parallelogram is 61°. Work out an adjacent interior angle.
geometry-2026-angles-in-quadrilaterals-13	Geometry and Measures	Angles in Quadrilaterals	A kite has one angle of 72°, a second angle of 92°, and two equal remaining angles. Find either equal angle.
geometry-2026-angles-in-quadrilaterals-10	Geometry and Measures	Angles in Quadrilaterals	The angles of a quadrilateral are in the ratio 2:3:3:4. Calculate the largest angle.
geometry-2026-surface-area-cuboids-09	Geometry and Measures	Surface Area of Cuboids	A closed cuboid display box at a youth centre measures 14 m by 4 m by 5 m. Covering material costs £5 per m². Find the total cost.
geometry-2026-angles-in-quadrilaterals-11	Geometry and Measures	Angles in Quadrilaterals	Three angles in a quadrilateral are 80°, 90° and 105°. Find the fourth angle.
geometry-2026-surface-area-cuboids-08	Geometry and Measures	Surface Area of Cuboids	An open-top cuboid box measures 13 cm by 3 cm by 4 cm. Calculate the area of card needed, excluding overlaps.
geometry-2026-angles-in-quadrilaterals-16	Geometry and Measures	Angles in Quadrilaterals	Three angles in a quadrilateral are 85°, 95° and 110°. Find the fourth angle.
geometry-2026-angles-in-quadrilaterals-17	Geometry and Measures	Angles in Quadrilaterals	One interior angle of a parallelogram is 66°. Work out an adjacent interior angle.
geometry-2026-angles-in-quadrilaterals-14	Geometry and Measures	Angles in Quadrilaterals	A four-sided frame at an outdoor pool has interior angles 83°, 93°, 108° and x°. Calculate x.
geometry-2026-circumference-circle-08	Geometry and Measures	Circumference of a Circle	A wheel has diameter 20 cm. It turns 3 complete times. Find the distance travelled in terms of π.
geometry-2026-angles-in-quadrilaterals-15	Geometry and Measures	Angles in Quadrilaterals	The angles of a quadrilateral are in the ratio 3:4:5:6. Calculate the largest angle.
geometry-2026-circumference-circle-09	Geometry and Measures	Circumference of a Circle	A circular flower bed at a youth centre has radius 11 m. Edging is placed around the complete boundary. Find the exact length of edging required.
geometry-2026-circumference-circle-04	Geometry and Measures	Circumference of a Circle	A circular flower bed at a village hall has radius 6 m. Edging is placed around the complete boundary. Find the exact length of edging required.
geometry-2026-angles-straight-line-around-point-18	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the missing angle.
geometry-2026-circumference-circle-05	Geometry and Measures	Circumference of a Circle	The radii of two circles are in the ratio 7:10. What is the ratio of their circumferences in its simplest form?
geometry-2026-angles-straight-line-around-point-19	Geometry and Measures	Angles on a Straight Line and Around a Point	Find x.
geometry-2026-circumference-circle-06	Geometry and Measures	Circumference of a Circle	A circle has diameter 16 cm. Calculate its circumference in terms of π.
geometry-2026-circumference-circle-07	Geometry and Measures	Circumference of a Circle	A circle has radius 9 m. Work out its circumference in terms of π.
geometry-2026-circumference-circle-01	Geometry and Measures	Circumference of a Circle	A circle has diameter 6 cm. Calculate its circumference in terms of π.
geometry-2026-angles-straight-line-around-point-09	Geometry and Measures	Angles on a Straight Line and Around a Point	A diagram is to show three adjacent angles on a straight line measuring 91°, 48° and x°. Find x.
geometry-2026-circumference-circle-02	Geometry and Measures	Circumference of a Circle	A circle has radius 4 m. Work out its circumference in terms of π.
geometry-2026-area-triangles-25	Geometry and Measures	Area of Triangles	Two triangles have the same perpendicular height. Their bases are in the ratio 2:3, so their areas are in the same ratio. Their total area is 560 cm². Find the area of the larger triangle.
geometry-2026-angles-straight-line-around-point-12	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet around a point. Two are 112° and 66°. Calculate the third angle.
geometry-2026-angles-straight-line-around-point-08	Geometry and Measures	Angles on a Straight Line and Around a Point	Two straight lines intersect. One angle is 84°. Find the vertically opposite angle.
geometry-2026-circumference-circle-03	Geometry and Measures	Circumference of a Circle	A wheel has diameter 10 cm. It turns 4 complete times. Find the distance travelled in terms of π.
geometry-2026-area-triangles-24	Geometry and Measures	Area of Triangles	A triangular banner for a rescue shelter has base 54 cm and perpendicular height 11 cm. Printing costs 6 pence per cm². Calculate the printing cost.
geometry-2026-angles-straight-line-around-point-13	Geometry and Measures	Angles on a Straight Line and Around a Point	Two straight lines intersect. One angle is 119°. Find the vertically opposite angle.
geometry-2026-area-triangles-23	Geometry and Measures	Area of Triangles	Find the area of the triangle.
geometry-2026-angles-straight-line-around-point-10	Geometry and Measures	Angles on a Straight Line and Around a Point	Two angles on a straight line are in the ratio 2:3. Calculate the larger angle.
geometry-2026-scales-reading-measures-24	Geometry and Measures	Scales and Reading Measures	A map uses the scale 1 cm represents 8 km. Two landmarks are 7 cm apart on the map. Calculate their actual distance.
geometry-2026-area-triangles-22	Geometry and Measures	Area of Triangles	A triangle has area 225 m² and base 50 m. Work out its perpendicular height.
geometry-2026-angles-straight-line-around-point-11	Geometry and Measures	Angles on a Straight Line and Around a Point	Two adjacent angles lie on a straight line. One angle is 105°. Work out the other angle.
geometry-2026-angles-straight-line-around-point-05	Geometry and Measures	Angles on a Straight Line and Around a Point	Two angles on a straight line are in the ratio 1:2. Calculate the larger angle.
geometry-2026-scales-reading-measures-25	Geometry and Measures	Scales and Reading Measures	A circular dial is marked from 0 to 340 in 10 equal divisions. The pointer is on division 3 after zero. Find the reading.
geometry-2026-area-triangles-21	Geometry and Measures	Area of Triangles	Calculate the area of a triangle with base 48 cm and perpendicular height 8 cm.
geometry-2026-angles-straight-line-around-point-16	Geometry and Measures	Angles on a Straight Line and Around a Point	Two adjacent angles lie on a straight line. One angle is 40°. Work out the other angle.
geometry-2026-angles-straight-line-around-point-04	Geometry and Measures	Angles on a Straight Line and Around a Point	A diagram is to show three adjacent angles on a straight line measuring 56°, 43° and x°. Find x.
geometry-2026-area-triangles-20	Geometry and Measures	Area of Triangles	Two triangles have the same perpendicular height. Their bases are in the ratio 5:6, so their areas are in the same ratio. Their total area is 1771 cm². Find the area of the larger triangle.
geometry-2026-angles-straight-line-around-point-17	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet around a point. Two are 47° and 71°. Calculate the third angle.
geometry-2026-angles-straight-line-around-point-07	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet around a point. Two are 77° and 61°. Calculate the third angle.
geometry-2026-angles-straight-line-around-point-14	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the value of x.
geometry-2026-angles-straight-line-around-point-06	Geometry and Measures	Angles on a Straight Line and Around a Point	Two adjacent angles lie on a straight line. One angle is 70°. Work out the other angle.
geometry-2026-scales-reading-measures-20	Geometry and Measures	Scales and Reading Measures	A circular dial is marked from 0 to 290 in 10 equal divisions. The pointer is on division 4 after zero. Find the reading.
geometry-2026-angles-straight-line-around-point-15	Geometry and Measures	Angles on a Straight Line and Around a Point	Two angles on a straight line are in the ratio 4:5. Calculate the larger angle.
geometry-2026-angles-straight-line-around-point-01	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the size of angle x.
geometry-2026-scales-reading-measures-21	Geometry and Measures	Scales and Reading Measures	A measuring scale has labelled marks at 220 g and 230 g with 5 equal intervals between them. What is the value of each interval?
geometry-2026-scales-reading-measures-22	Geometry and Measures	Scales and Reading Measures	A thermometer scale runs from 230°C to 248°C in 6 equal intervals. The liquid level is at the 2th interval after 230°C. Read the temperature.
geometry-2026-angles-straight-line-around-point-03	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the value of x.
geometry-2026-scales-reading-measures-23	Geometry and Measures	Scales and Reading Measures	A measuring cylinder is labelled 240 ml and 268 ml with 7 equal spaces. The liquid is at the 5th small mark above 240 ml. Work out the reading.
geometry-2026-angles-straight-line-around-point-02	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet around a point. Two are 42° and 56°. Calculate the third angle.
geometry-2026-area-circle-15	Geometry and Measures	Area of a Circle	The radii of two circles are in the ratio 1:2. The smaller circle has area 16π cm². Find the area of the larger circle.
geometry-2026-area-circle-14	Geometry and Measures	Area of a Circle	A circular mural at an outdoor pool has radius 16 m. Painting costs £3 for each square metre. Write the exact total cost in terms of π.
geometry-2026-area-circle-17	Geometry and Measures	Area of a Circle	A circle has diameter 38 m. Find its area in terms of π.
geometry-2026-area-circle-16	Geometry and Measures	Area of a Circle	A circle has radius 18 cm. Calculate its area in terms of π.
geometry-2026-area-circle-11	Geometry and Measures	Area of a Circle	A circle has radius 13 cm. Calculate its area in terms of π.
geometry-2026-area-circle-10	Geometry and Measures	Area of a Circle	The radii of two circles are in the ratio 1:2. The smaller circle has area 9π cm². Find the area of the larger circle.
geometry-2026-area-circle-13	Geometry and Measures	Area of a Circle	A semicircle has radius 16 cm. Calculate its area in terms of π.
geometry-2026-area-circle-12	Geometry and Measures	Area of a Circle	A circle has diameter 28 m. Find its area in terms of π.
geometry-2026-properties-2d-shapes-18	Geometry and Measures	Properties of 2D Shapes	A triangular roof frame has exactly two equal sides. Which type of triangle is it?
geometry-2026-area-circle-19	Geometry and Measures	Area of a Circle	A circular mural at a recycling centre has radius 21 m. Painting costs £4 for each square metre. Write the exact total cost in terms of π.
geometry-2026-properties-2d-shapes-19	Geometry and Measures	Properties of 2D Shapes	A parallelogram-shaped window has one interior angle of 68°. Work out the adjacent interior angle.
geometry-2026-area-circle-18	Geometry and Measures	Area of a Circle	A semicircle has radius 20 cm. Calculate its area in terms of π.
geometry-2026-properties-2d-shapes-09	Geometry and Measures	Properties of 2D Shapes	Which statement is always true for a kite?
geometry-2026-properties-2d-shapes-08	Geometry and Measures	Properties of 2D Shapes	Each interior angle of a regular hexagon is 120°. Calculate the sum of its interior angles.
geometry-2026-properties-2d-shapes-10	Geometry and Measures	Properties of 2D Shapes	A regular polygon has 12 sides. Work out one exterior angle.
geometry-2026-properties-2d-shapes-11	Geometry and Measures	Properties of 2D Shapes	Which property is always true for a parallelogram?
geometry-2026-properties-2d-shapes-12	Geometry and Measures	Properties of 2D Shapes	How many lines of symmetry does a non-equilateral isosceles triangle have?
geometry-2026-properties-2d-shapes-13	Geometry and Measures	Properties of 2D Shapes	How many lines of symmetry does a regular octagon have?
geometry-2026-properties-2d-shapes-03	Geometry and Measures	Properties of 2D Shapes	How many lines of symmetry does a regular pentagon have?
geometry-2026-properties-2d-shapes-14	Geometry and Measures	Properties of 2D Shapes	Calculate the sum of the interior angles of a pentagon.
geometry-2026-properties-2d-shapes-02	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral has exactly one pair of parallel sides?
geometry-2026-properties-2d-shapes-15	Geometry and Measures	Properties of 2D Shapes	A regular decagon has 10 sides. Work out one exterior angle.
geometry-2026-properties-2d-shapes-01	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral has four equal sides and four right angles?
geometry-2026-properties-2d-shapes-16	Geometry and Measures	Properties of 2D Shapes	A floor tile at a village hall has four equal sides but no right angles. Which quadrilateral is it?
geometry-2026-angles-in-triangles-08	Geometry and Measures	Angles in Triangles	Two opposite interior angles of a triangle are 42° and 66°. Find the exterior angle at the third vertex.
geometry-2026-properties-2d-shapes-17	Geometry and Measures	Properties of 2D Shapes	A regular octagon is rotated about its centre. What is its order of rotational symmetry?
geometry-2026-properties-2d-shapes-07	Geometry and Measures	Properties of 2D Shapes	A regular polygon has exterior angle 45°. How many sides does it have?
geometry-2026-angles-in-triangles-09	Geometry and Measures	Angles in Triangles	A triangular support at a youth centre has one right angle and another angle of 43°. Calculate the third angle.
geometry-2026-properties-2d-shapes-06	Geometry and Measures	Properties of 2D Shapes	Which quadrilateral always has diagonals that bisect each other at right angles but does not have to contain right angles?
geometry-2026-properties-2d-shapes-05	Geometry and Measures	Properties of 2D Shapes	Which triangle has three equal sides?
geometry-2026-properties-2d-shapes-04	Geometry and Measures	Properties of 2D Shapes	What is the order of rotational symmetry of a non-square rectangle?
geometry-2026-area-compound-shapes-20	Geometry and Measures	Area of Compound Shapes	A compound display is split into two non-overlapping sections whose areas are in the ratio 2:3. The smaller section has area 736 cm². Calculate the total area.
geometry-2026-angles-in-triangles-19	Geometry and Measures	Angles in Triangles	A triangular support at a recycling centre has one right angle and another angle of 53°. Calculate the third angle.
geometry-2026-area-compound-shapes-21	Geometry and Measures	Area of Compound Shapes	A centred rectangular recess measuring 3 cm wide and 2 cm deep is removed from the top edge of a 32 cm by 14 cm rectangle, forming a U-shape. Calculate the area of the remaining shape.
geometry-2026-angles-in-triangles-02	Geometry and Measures	Angles in Triangles	An isosceles triangle has vertex angle 42°. Work out the size of each equal base angle.
geometry-2026-angles-in-triangles-18	Geometry and Measures	Angles in Triangles	Two interior angles of a triangle are 52° and 56°. Find the exterior angle at the third vertex.
geometry-2026-area-compound-shapes-22	Geometry and Measures	Area of Compound Shapes	A 4 cm by 3 cm rectangle is removed completely from the centre of a 33 cm by 8 cm rectangle, leaving a rectangular frame. Calculate the area of the remaining shape.
geometry-2026-angles-in-triangles-03	Geometry and Measures	Angles in Triangles	Two interior angles of a triangle are 37° and 51°. Find the exterior angle at the third vertex.
geometry-2026-area-compound-shapes-23	Geometry and Measures	Area of Compound Shapes	A compound shape consists of a 34 cm by 9 cm rectangle and a triangle attached to the rectangle's 9 cm side. The full base of the triangle is the shared 9 cm edge. The triangle has perpendicular height 6 cm. Find the total area.
geometry-2026-area-compound-shapes-24	Geometry and Measures	Area of Compound Shapes	A centred rectangular recess measuring 6 m deep and 5 m high is removed from the right-hand edge of a 35 m by 10 m rectangle, forming a C-shape. Flooring costs £6 per m². Calculate the total cost.
geometry-2026-area-rectangles-08	Geometry and Measures	Area of Rectangles	Find the area of a square with side length 13 mm.
geometry-2026-angles-in-triangles-01	Geometry and Measures	Angles in Triangles	A triangle has angles 35° and 45°. Calculate its third angle.
geometry-2026-angles-in-triangles-15	Geometry and Measures	Angles in Triangles	The three angles in a triangle are in the ratio 3:4:5. Calculate the largest angle.
geometry-2026-area-compound-shapes-25	Geometry and Measures	Area of Compound Shapes	A compound display is split into two non-overlapping sections whose areas are in the ratio 2:3. The smaller section has area 764 cm². Calculate the total area.
geometry-2026-area-rectangles-09	Geometry and Measures	Area of Rectangles	A rectangular floor measures 16 m by 11 m. Flooring costs £6 per square metre. Calculate the total cost.
geometry-2026-angles-in-triangles-06	Geometry and Measures	Angles in Triangles	A triangle has angles 40° and 60°. Calculate its third angle.
geometry-2026-angles-in-triangles-14	Geometry and Measures	Angles in Triangles	A triangular support at an outdoor pool has one right angle and another angle of 48°. Calculate the third angle.
geometry-2026-angles-in-triangles-07	Geometry and Measures	Angles in Triangles	An isosceles triangle has vertex angle 52°. Work out the size of each equal base angle.
geometry-2026-angles-in-triangles-17	Geometry and Measures	Angles in Triangles	An isosceles triangle has vertex angle 72°. Work out the size of each equal base angle.
geometry-2026-angles-in-triangles-04	Geometry and Measures	Angles in Triangles	A triangular support at a village hall has one right angle and another angle of 38°. Calculate the third angle.
geometry-2026-angles-in-triangles-16	Geometry and Measures	Angles in Triangles	Find the value of x.
geometry-2026-volume-cuboids-17	Geometry and Measures	Volume of Cuboids	A cuboid has volume 330 m³, length 22 m and width 5 m. Find its height.
geometry-2026-angles-in-triangles-05	Geometry and Measures	Angles in Triangles	The three angles in a triangle are in the ratio 1:2:3. Calculate the largest angle.
geometry-2026-angles-in-triangles-11	Geometry and Measures	Angles in Triangles	A triangle has angles 45° and 75°. Calculate its third angle.
geometry-2026-volume-cuboids-16	Geometry and Measures	Volume of Cuboids	Calculate the volume of a cuboid measuring 21 cm by 4 cm by 2 cm.
geometry-2026-angles-in-triangles-10	Geometry and Measures	Angles in Triangles	The three angles in a triangle are in the ratio 2:3:4. Calculate the largest angle.
geometry-2026-volume-cuboids-15	Geometry and Measures	Volume of Cuboids	The length, width and height of a cuboid are in the ratio 2:3:4. The shortest edge is 8 cm. Calculate the volume.
geometry-2026-angles-in-triangles-13	Geometry and Measures	Angles in Triangles	Two interior angles of a triangle are 47° and 81°. Find the exterior angle at the third vertex.
geometry-2026-volume-cuboids-14	Geometry and Measures	Volume of Cuboids	A warehouse packs 5 identical cuboid containers, each measuring 19 cm by 9 cm by 5 cm. Find their total volume.
geometry-2026-angles-in-triangles-12	Geometry and Measures	Angles in Triangles	An isosceles triangle has vertex angle 62°. Work out the size of each equal base angle.
geometry-2026-volume-cuboids-13	Geometry and Measures	Volume of Cuboids	A solid cuboid measures 18 cm by 8 cm by 4 cm. How many 1 cm³ cubes are needed to build it?
geometry-2026-volume-cuboids-12	Geometry and Measures	Volume of Cuboids	A cuboid has volume 357 m³, length 17 m and width 7 m. Find its height.
geometry-2026-area-rectangles-01	Geometry and Measures	Area of Rectangles	Calculate the area of a rectangle with length 8 cm and width 3 cm.
geometry-2026-volume-cuboids-11	Geometry and Measures	Volume of Cuboids	Calculate the volume of a cuboid measuring 16 cm by 6 cm by 2 cm.
geometry-2026-area-rectangles-02	Geometry and Measures	Area of Rectangles	A rectangle has area 36 m² and length 9 m. Work out its width.
geometry-2026-volume-cuboids-10	Geometry and Measures	Volume of Cuboids	The length, width and height of a cuboid are in the ratio 2:3:4. The shortest edge is 6 cm. Calculate the volume.
geometry-2026-area-rectangles-03	Geometry and Measures	Area of Rectangles	Find the area of a square with side length 8 mm.
geometry-2026-area-parallelograms-24	Geometry and Measures	Area of Parallelograms	A parallelogram-shaped panel at a rescue shelter has base 30 m and perpendicular height 8 m. One tin covers 5 m². How many tins are needed if only whole tins can be bought?
geometry-2026-area-rectangles-04	Geometry and Measures	Area of Rectangles	A rectangular floor at a village hall measures 11 m by 6 m. Flooring costs £7 per square metre. Calculate the total cost.
geometry-2026-area-parallelograms-25	Geometry and Measures	Area of Parallelograms	A parallelogram has area 279 cm². Its base and perpendicular height are both multiplied by 2. Find the new area.
geometry-2026-area-rectangles-05	Geometry and Measures	Area of Rectangles	The length and width of a rectangular display are in the ratio 3:2. The width is 16 cm. Calculate the area of the display.
geometry-2026-area-rectangles-06	Geometry and Measures	Area of Rectangles	Calculate the area of a rectangle with length 13 cm and width 8 cm.
geometry-2026-volume-cuboids-22	Geometry and Measures	Volume of Cuboids	A cuboid has volume 243 m³, length 27 m and width 3 m. Find its height.
geometry-2026-area-rectangles-07	Geometry and Measures	Area of Rectangles	A rectangle has area 126 m² and length 14 m. Work out its width.
geometry-2026-area-parallelograms-20	Geometry and Measures	Area of Parallelograms	A parallelogram has area 104 cm². Its base and perpendicular height are both multiplied by 3. Find the new area.
geometry-2026-volume-cuboids-23	Geometry and Measures	Volume of Cuboids	A solid cuboid measures 28 cm by 4 cm by 4 cm. How many 1 cm³ cubes are needed to build it?
geometry-2026-area-parallelograms-21	Geometry and Measures	Area of Parallelograms	A parallelogram has base 27 cm and perpendicular height 5 cm. Calculate its area.
geometry-2026-volume-cuboids-20	Geometry and Measures	Volume of Cuboids	The length, width and height of a cuboid are in the ratio 2:3:4. The shortest edge is 10 cm. Calculate the volume.
geometry-2026-area-parallelograms-22	Geometry and Measures	Area of Parallelograms	The area of a parallelogram is 168 m² and its base is 28 m. Find its perpendicular height.
geometry-2026-volume-cuboids-19	Geometry and Measures	Volume of Cuboids	A recycling centre packs 5 identical cuboid containers, each measuring 24 cm by 7 cm by 5 cm. Find their total volume.
geometry-2026-volume-cuboids-21	Geometry and Measures	Volume of Cuboids	Calculate the volume of a cuboid measuring 26 cm by 9 cm by 2 cm.
geometry-2026-area-parallelograms-23	Geometry and Measures	Area of Parallelograms	Find the area of the parallelogram.
geometry-2026-volume-cuboids-18	Geometry and Measures	Volume of Cuboids	A solid cuboid measures 23 cm by 6 cm by 4 cm. How many 1 cm³ cubes are needed to build it?
geometry-2026-perimeter-rectangles-compound-shapes-14	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular plot at an outdoor pool is 20 m long and 7 m wide. A 3 m entrance is left unfenced. Calculate the length of fencing required.
geometry-2026-volume-cuboids-24	Geometry and Measures	Volume of Cuboids	A warehouse worker packs 5 identical cuboid containers, each measuring 29 cm by 5 cm by 5 cm. Find their total volume.
geometry-2026-perimeter-rectangles-compound-shapes-15	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular courtyard measures 28 m by 13 m. A 5 m by 4 m rectangular pond is positioned completely inside it. Find the total perimeter of the courtyard and the pond.
geometry-2026-volume-cuboids-25	Geometry and Measures	Volume of Cuboids	The length, width and height of a cuboid are in the ratio 2:3:4. The shortest edge is 12 cm. Calculate the volume.
geometry-2026-perimeter-rectangles-compound-shapes-16	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Work out the perimeter of a rectangle measuring 22 cm by 9 cm.
geometry-2026-perimeter-rectangles-compound-shapes-17	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangle has perimeter 66 m and width 10 m. Find its length.
geometry-2026-perimeter-rectangles-compound-shapes-07	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangle has perimeter 44 m and width 9 m. Find its length.
geometry-2026-perimeter-rectangles-compound-shapes-10	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A 4 m wide by 2 m deep rectangular recess is cut from the middle of the top edge of a 23 m by 13 m rectangular floor. Calculate the perimeter of the remaining U-shaped floor.
geometry-2026-perimeter-rectangles-compound-shapes-06	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Work out the perimeter of a rectangle measuring 12 cm by 8 cm.
geometry-2026-perimeter-rectangles-compound-shapes-11	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Work out the perimeter of a rectangle measuring 17 cm by 4 cm.
geometry-2026-perimeter-rectangles-compound-shapes-05	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Find the perimeter of the shape.
geometry-2026-perimeter-rectangles-compound-shapes-12	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangle has perimeter 46 m and width 5 m. Find its length.
geometry-2026-perimeter-rectangles-compound-shapes-04	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular plot at a village hall is 10 m long and 6 m wide. A 5 m entrance is left unfenced. Calculate the length of fencing required.
geometry-2026-perimeter-rectangles-compound-shapes-13	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 17 mm. Calculate its perimeter.
geometry-2026-perimeter-rectangles-compound-shapes-03	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 7 mm. Calculate its perimeter.
geometry-2026-perimeter-rectangles-compound-shapes-02	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangle has perimeter 24 m and width 4 m. Find its length.
geometry-2026-perimeter-rectangles-compound-shapes-01	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Work out the perimeter of a rectangle measuring 7 cm by 3 cm.
geometry-2026-perimeter-rectangles-compound-shapes-18	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 22 mm. Calculate its perimeter.
geometry-2026-perimeter-rectangles-compound-shapes-19	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular plot at a recycling centre is 25 m long and 3 m wide. A 4 m entrance is left unfenced. Calculate the length of fencing required.
geometry-2026-perimeter-rectangles-compound-shapes-09	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular plot at a youth centre is 15 m long and 11 m wide. A 2 m entrance is left unfenced. Calculate the length of fencing required.
geometry-2026-perimeter-rectangles-compound-shapes-25	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A 3 m by 2 m rectangular entrance is joined to the middle of one 13 m side of a 38 m by 13 m hall. The full 2 m side of the entrance is joined to the hall. Calculate the perimeter of the combined shape.
geometry-2026-perimeter-rectangles-compound-shapes-08	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 12 mm. Calculate its perimeter.
geometry-2026-perimeter-rectangles-compound-shapes-24	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangular plot at a rescue shelter is 30 m long and 8 m wide. A 5 m entrance is left unfenced. Calculate the length of fencing required.
geometry-2026-perimeter-rectangles-compound-shapes-21	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	Work out the perimeter of a rectangle measuring 27 cm by 5 cm.
geometry-2026-perimeter-rectangles-compound-shapes-20	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A 6 m deep by 3 m high rectangular recess is cut from the middle of the right-hand edge of a 33 m by 13 m rectangle. Work out the perimeter of the remaining region.
geometry-2026-surface-area-cuboids-12	Geometry and Measures	Surface Area of Cuboids	Find the surface area of a cube with edge length 15 mm.
geometry-2026-perimeter-rectangles-compound-shapes-23	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A square has side length 27 mm. Calculate its perimeter.
geometry-2026-surface-area-cuboids-13	Geometry and Measures	Surface Area of Cuboids	An open-top cuboid box measures 18 cm by 8 cm by 4 cm. Calculate the area of card needed, excluding overlaps.
geometry-2026-perimeter-rectangles-compound-shapes-22	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	A rectangle has perimeter 68 m and width 6 m. Find its length.
geometry-2026-surface-area-cuboids-10	Geometry and Measures	Surface Area of Cuboids	Every edge of a cuboid with surface area 390 cm² is doubled. Calculate the new surface area.
geometry-2026-surface-area-cuboids-11	Geometry and Measures	Surface Area of Cuboids	Calculate the total surface area of a cuboid measuring 16 cm by 6 cm by 2 cm.
geometry-2026-surface-area-cuboids-16	Geometry and Measures	Surface Area of Cuboids	Calculate the total surface area of a cuboid measuring 21 cm by 4 cm by 2 cm.
geometry-2026-circumference-circle-22	Geometry and Measures	Circumference of a Circle	A circle has radius 24 m. Work out its circumference in terms of π.
geometry-2026-surface-area-cuboids-17	Geometry and Measures	Surface Area of Cuboids	Find the surface area of a cube with edge length 20 mm.
geometry-2026-circumference-circle-23	Geometry and Measures	Circumference of a Circle	A wheel has diameter 50 cm. It turns 6 complete times. Find the distance travelled in terms of π.
geometry-2026-surface-area-cuboids-14	Geometry and Measures	Surface Area of Cuboids	A closed cuboid display box at an outdoor pool measures 19 m by 9 m by 5 m. Covering material costs £5 per m². Find the total cost.
geometry-2026-circumference-circle-20	Geometry and Measures	Circumference of a Circle	The radii of two circles are in the ratio 22:25. What is the ratio of their circumferences in its simplest form?
geometry-2026-surface-area-cuboids-15	Geometry and Measures	Surface Area of Cuboids	Every edge of a cuboid with surface area 396 cm² is doubled. Calculate the new surface area.
geometry-2026-circumference-circle-21	Geometry and Measures	Circumference of a Circle	A circle has diameter 46 cm. Calculate its circumference in terms of π.
geometry-2026-surface-area-cuboids-18	Geometry and Measures	Surface Area of Cuboids	An open-top cuboid box measures 23 cm by 6 cm by 4 cm. Calculate the area of card needed, excluding overlaps.
geometry-2026-circumference-circle-24	Geometry and Measures	Circumference of a Circle	A circular flower bed has radius 26 m. Edging is placed around the complete boundary. Find the exact length of edging required.
geometry-2026-surface-area-cuboids-19	Geometry and Measures	Surface Area of Cuboids	A closed cuboid display box at a recycling centre measures 24 m by 7 m by 5 m. Covering material costs £5 per m². Find the total cost.
geometry-2026-angles-in-quadrilaterals-09	Geometry and Measures	Angles in Quadrilaterals	A four-sided frame has interior angles 78°, 88°, 103° and x°. Calculate x.
geometry-2026-circumference-circle-25	Geometry and Measures	Circumference of a Circle	The radii of two circles are in the ratio 27:30. What is the ratio of their circumferences in its simplest form?
geometry-2026-angles-in-quadrilaterals-08	Geometry and Measures	Angles in Quadrilaterals	A kite has one angle of 67°, a second angle of 87°, and two equal remaining angles. Find either equal angle.
geometry-2026-angles-in-quadrilaterals-05	Geometry and Measures	Angles in Quadrilaterals	The angles of a quadrilateral are in the ratio 1:2:3:4. Calculate the largest angle.
geometry-2026-angles-in-quadrilaterals-04	Geometry and Measures	Angles in Quadrilaterals	A quadrilateral has interior angles 73°, 83°, 98° and x°. Calculate x.
geometry-2026-angles-in-quadrilaterals-07	Geometry and Measures	Angles in Quadrilaterals	One interior angle of a parallelogram is 56°. Work out an adjacent interior angle.
geometry-2026-angles-in-quadrilaterals-06	Geometry and Measures	Angles in Quadrilaterals	Three angles in a quadrilateral are 75°, 85° and 100°. Find the fourth angle.
geometry-2026-angles-in-quadrilaterals-01	Geometry and Measures	Angles in Quadrilaterals	Three angles in a quadrilateral are 70°, 80° and 95°. Find the fourth angle.
geometry-2026-angles-straight-line-around-point-25	Geometry and Measures	Angles on a Straight Line and Around a Point	Two angles on a straight line are in the ratio 7:8. Calculate the larger angle.
geometry-2026-angles-straight-line-around-point-24	Geometry and Measures	Angles on a Straight Line and Around a Point	Three adjacent angles on a straight line are measuring 96°, 63° and x°. Find x.
geometry-2026-angles-in-quadrilaterals-03	Geometry and Measures	Angles in Quadrilaterals	A kite has one angle of 62°, a second angle of 82°, and two equal remaining angles. Find either equal angle.
geometry-2026-angles-straight-line-around-point-23	Geometry and Measures	Angles on a Straight Line and Around a Point	Find the value of x.
geometry-2026-angles-in-quadrilaterals-02	Geometry and Measures	Angles in Quadrilaterals	One interior angle of a parallelogram is 51°. Find the value of x.
geometry-2026-angles-straight-line-around-point-22	Geometry and Measures	Angles on a Straight Line and Around a Point	Three angles meet around a point. Two are 82° and 76°. Calculate the third angle.
geometry-2026-surface-area-cuboids-25	Geometry and Measures	Surface Area of Cuboids	Every edge of a cuboid with surface area 792 cm² is doubled. Calculate the new surface area.
geometry-2026-circumference-circle-19	Geometry and Measures	Circumference of a Circle	A circular roundabout has radius 21 m. Edging is placed around the complete boundary. Find the exact length of edging required.
geometry-2026-angles-straight-line-around-point-21	Geometry and Measures	Angles on a Straight Line and Around a Point	Two adjacent angles lie on a straight line. One angle is 75°. Work out the other angle.
geometry-2026-surface-area-cuboids-24	Geometry and Measures	Surface Area of Cuboids	A closed cuboid display box at a rescue shelter measures 29 m by 5 m by 5 m. Covering material costs £5 per m². Find the total cost.
geometry-2026-circumference-circle-18	Geometry and Measures	Circumference of a Circle	A wheel has diameter 40 cm. It turns 7 complete times. Find the distance travelled in terms of π.
geometry-2026-angles-straight-line-around-point-20	Geometry and Measures	Angles on a Straight Line and Around a Point	Two angles on a straight line are in the ratio 5:7. Calculate the larger angle.
geometry-2026-surface-area-cuboids-23	Geometry and Measures	Surface Area of Cuboids	An open-top cuboid box measures 28 cm by 4 cm by 4 cm. Calculate the area of card needed, excluding overlaps.
geometry-2026-circumference-circle-17	Geometry and Measures	Circumference of a Circle	A circle has radius 19 m. Work out its circumference in terms of π.
geometry-2026-surface-area-cuboids-22	Geometry and Measures	Surface Area of Cuboids	Find the surface area of a cube with edge length 25 mm.
geometry-2026-circumference-circle-16	Geometry and Measures	Circumference of a Circle	A circle has diameter 36 cm. Calculate its circumference in terms of π.
geometry-2026-surface-area-cuboids-21	Geometry and Measures	Surface Area of Cuboids	Calculate the total surface area of a cuboid measuring 26 cm by 9 cm by 2 cm.
geometry-2026-circumference-circle-15	Geometry and Measures	Circumference of a Circle	The radii of two circles are in the ratio 17:20. What is the ratio of their circumferences in its simplest form?
geometry-2026-surface-area-cuboids-20	Geometry and Measures	Surface Area of Cuboids	Every edge of a cuboid with surface area 796 cm² is doubled. Calculate the new surface area.
geometry-2026-circumference-circle-14	Geometry and Measures	Circumference of a Circle	A circular flower bed at an outdoor pool has radius 16 m. Edging is placed around the complete boundary. Find the exact length of edging required.
geometry-2026-circumference-circle-13	Geometry and Measures	Circumference of a Circle	A wheel has diameter 30 cm. It turns 2 complete times. Find the distance travelled in terms of π.
geometry-2026-circumference-circle-12	Geometry and Measures	Circumference of a Circle	A circle has radius 14 m. Work out its circumference in terms of π.
geometry-2026-circumference-circle-11	Geometry and Measures	Circumference of a Circle	A circle has diameter 26 cm. Calculate its circumference in terms of π.
geometry-2026-area-triangles-18	Geometry and Measures	Area of Triangles	A triangle has base 42 mm, perpendicular height 5 mm and a sloping side of 10 mm. Find its area.
geometry-2026-circumference-circle-10	Geometry and Measures	Circumference of a Circle	The radii of two circles are in the ratio 12:15. What is the ratio of their circumferences in its simplest form?
geometry-2026-area-triangles-19	Geometry and Measures	Area of Triangles	A triangular banner for a school fayre has base 44 cm and perpendicular height 6 cm. Printing costs 6 pence per cm². Calculate the printing cost.
wider-geometry-2026-loci-23	Transformations and Constructions	Loci	A path must be less than 3 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-loci-22	Transformations and Constructions	Loci	A dog is tied to a post with a 2 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-loci-29	Transformations and Constructions	Loci	A path must be less than 2 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-loci-28	Transformations and Constructions	Loci	A dog is tied to a post with a 8 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-drawing-triangles-accurately-02	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-03	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-01	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-06	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-07	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-04	Transformations and Constructions	Drawing Triangles Accurately	To draw a 60° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-05	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-08	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-09	Transformations and Constructions	Drawing Triangles Accurately	To draw a 50° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-28	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-29	Transformations and Constructions	Drawing Triangles Accurately	To draw a 70° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-24	Transformations and Constructions	Drawing Triangles Accurately	To draw a 80° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-25	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-26	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-27	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-20	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-21	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-35	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-22	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-34	Transformations and Constructions	Drawing Triangles Accurately	To draw a 60° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-23	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-33	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-32	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-31	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-30	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-pythagoras-theorem-12	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 7 m by 24 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-13	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 8 cm and 15 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-10	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a charity event layout is 5 cm wide and 12 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-11	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-05	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-60	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 7 m by 24 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-56	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 20 m and one shorter side 12 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-16	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangle is 12 cm wide and 16 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-04	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a theatre set is 7 cm wide and 24 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-57	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 3 m from the wall and the ladder reaches 4 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-17	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-07	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 10 cm and 24 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-54	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 9 m by 12 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-14	Pythagoras and Trigonometry	Pythagoras’ Theorem	Find the value of x.
wider-geometry-2026-pythagoras-theorem-06	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 9 m by 12 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-55	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 10 cm and 24 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-15	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 10 m from the wall and the ladder reaches 24 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-01	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 3 cm and 4 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-52	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a sports hall plan is 7 cm wide and 24 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-53	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-03	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 6 m from the wall and the ladder reaches 8 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-50	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 13 m and one shorter side 5 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-18	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 5 m by 12 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-02	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 13 m and one shorter side 5 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-51	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 6 m from the wall and the ladder reaches 8 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-19	Pythagoras and Trigonometry	Pythagoras’ Theorem	Find the value of x.
wider-geometry-2026-pythagoras-theorem-09	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 3 m from the wall and the ladder reaches 4 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-08	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 20 m and one shorter side 12 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-58	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a science classroom diagram is 5 cm wide and 12 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-59	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Which side is the hypotenuse?
wider-geometry-2026-perpendicular-bisectors-29	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-28	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-perpendicular-bisectors-30	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 36 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-31	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 20 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-32	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-33	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-perpendicular-bisectors-23	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-perpendicular-bisectors-34	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-22	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-18	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-perpendicular-bisectors-35	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 41 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-21	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 16 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-19	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-20	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 26 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-16	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 22 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-27	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-17	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-26	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 10 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-14	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-25	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 31 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-15	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 21 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-24	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-12	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-13	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-angle-bisectors-24	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 40° each. Work out the original angle.
wider-geometry-2026-perpendicular-bisectors-10	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 16 cm. Work out PB.
wider-geometry-2026-angle-bisectors-25	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-perpendicular-bisectors-11	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 12 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-angle-bisectors-26	Transformations and Constructions	Constructing Angle Bisectors	An angle of 100° is bisected. Work out the size of each new angle.
wider-geometry-2026-angle-bisectors-27	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-angle-bisectors-20	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-angle-bisectors-21	Transformations and Constructions	Constructing Angle Bisectors	An angle of 120° is bisected. Work out the size of each new angle.
wider-geometry-2026-angle-bisectors-35	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-angle-bisectors-22	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-angle-bisectors-34	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 55° each. Work out the original angle.
wider-geometry-2026-angle-bisectors-23	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-angle-bisectors-33	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-angle-bisectors-32	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-angle-bisectors-08	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-angle-bisectors-31	Transformations and Constructions	Constructing Angle Bisectors	An angle of 80° is bisected. Work out the size of each new angle.
wider-geometry-2026-angle-bisectors-09	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 35° each. Work out the original angle.
wider-geometry-2026-angle-bisectors-30	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-angle-bisectors-28	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-angle-bisectors-29	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 30° each. Work out the original angle.
wider-geometry-2026-angle-bisectors-19	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 50° each. Work out the original angle.
wider-geometry-2026-angle-bisectors-02	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-angle-bisectors-18	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-loci-18	Transformations and Constructions	Loci	Points that are nearer to A than to B are found on which side of the perpendicular bisector of AB?
wider-geometry-2026-angle-bisectors-03	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-loci-19	Transformations and Constructions	Loci	What is the locus of points exactly 6 cm from a fixed point P?
wider-geometry-2026-angle-bisectors-01	Transformations and Constructions	Constructing Angle Bisectors	An angle of 60° is bisected. Work out the size of each new angle.
wider-geometry-2026-angle-bisectors-15	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-angle-bisectors-06	Transformations and Constructions	Constructing Angle Bisectors	An angle of 110° is bisected. Work out the size of each new angle.
wider-geometry-2026-angle-bisectors-14	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 60° each. Work out the original angle.
wider-geometry-2026-loci-14	Transformations and Constructions	Loci	What is the locus of points exactly 8 cm from a straight line?
wider-geometry-2026-angle-bisectors-07	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-angle-bisectors-17	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-loci-15	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-loci-09	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-angle-bisectors-04	Transformations and Constructions	Constructing Angle Bisectors	An angle bisector creates two angles of 45° each. Work out the original angle.
wider-geometry-2026-angle-bisectors-16	Transformations and Constructions	Constructing Angle Bisectors	An angle of 70° is bisected. Work out the size of each new angle.
wider-geometry-2026-loci-16	Transformations and Constructions	Loci	A dog is tied to a post with a 3 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-loci-08	Transformations and Constructions	Loci	What is the locus of points exactly 2 cm from a straight line?
wider-geometry-2026-angle-bisectors-05	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-angle-bisectors-11	Transformations and Constructions	Constructing Angle Bisectors	An angle of 90° is bisected. Work out the size of each new angle.
wider-geometry-2026-loci-17	Transformations and Constructions	Loci	A path must be less than 4 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-loci-07	Transformations and Constructions	Loci	What is the locus of points exactly 8 cm from a fixed point P?
wider-geometry-2026-angle-bisectors-10	Transformations and Constructions	Constructing Angle Bisectors	To construct an angle bisector accurately, which tools should be used?
wider-geometry-2026-loci-10	Transformations and Constructions	Loci	A dog is tied to a post with a 4 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-loci-06	Transformations and Constructions	Loci	Points that are nearer to A than to B are found on which side of the perpendicular bisector of AB?
wider-geometry-2026-angle-bisectors-13	Transformations and Constructions	Constructing Angle Bisectors	A point lies on an angle bisector. Which statement is true?
wider-geometry-2026-loci-11	Transformations and Constructions	Loci	A path must be less than 5 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-loci-05	Transformations and Constructions	Loci	A path must be less than 6 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-angle-bisectors-12	Transformations and Constructions	Constructing Angle Bisectors	Which construction creates two equal angles from one angle?
wider-geometry-2026-loci-12	Transformations and Constructions	Loci	Points that are nearer to A than to B are found on which side of the perpendicular bisector of AB?
wider-geometry-2026-loci-04	Transformations and Constructions	Loci	A dog is tied to a post with a 5 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-loci-13	Transformations and Constructions	Loci	What is the locus of points exactly 7 cm from a fixed point P?
wider-geometry-2026-loci-03	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-loci-02	Transformations and Constructions	Loci	What is the locus of points exactly 3 cm from a straight line?
wider-geometry-2026-loci-01	Transformations and Constructions	Loci	What is the locus of points exactly 2 cm from a fixed point P?
wider-geometry-2026-drawing-triangles-accurately-15	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-14	Transformations and Constructions	Drawing Triangles Accurately	To draw a 45° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-17	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-16	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-11	Transformations and Constructions	Drawing Triangles Accurately	A triangle has side lengths 4 cm, 6 cm and 7 cm. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-10	Transformations and Constructions	Drawing Triangles Accurately	For an SSS construction with sides 8 cm, 10 cm and 11 cm, what should be drawn first?
wider-geometry-2026-drawing-triangles-accurately-13	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-12	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two sides and the angle between them. Which construction type is this?
wider-geometry-2026-drawing-triangles-accurately-19	Transformations and Constructions	Drawing Triangles Accurately	To draw a 35° angle accurately for a triangle construction, which tool is needed?
wider-geometry-2026-drawing-triangles-accurately-18	Transformations and Constructions	Drawing Triangles Accurately	A triangle is given by two angles and the side between them. Which construction type is this?
wider-geometry-2026-pythagoras-theorem-49	Pythagoras and Trigonometry	Pythagoras’ Theorem	Work out x.
wider-geometry-2026-pythagoras-theorem-48	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 12 m by 16 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-38	Pythagoras and Trigonometry	Pythagoras’ Theorem	Work out the size of x.
wider-geometry-2026-pythagoras-theorem-41	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-39	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 10 m from the wall and the ladder reaches 24 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-40	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a charity event layout is 12 cm wide and 16 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-43	Pythagoras and Trigonometry	Pythagoras’ Theorem	Find x.
wider-geometry-2026-pythagoras-theorem-42	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 5 m by 12 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-34	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a theatre set is 5 cm wide and 12 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-45	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 8 m from the wall and the ladder reaches 15 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-35	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-29	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-44	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 25 m and one shorter side 7 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-36	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 7 m by 24 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-28	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a science classroom diagram is 7 cm wide and 24 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-47	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-37	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 8 cm and 15 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-27	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 6 m from the wall and the ladder reaches 8 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-46	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a campsite map is 9 cm wide and 12 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-30	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 9 m by 12 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-26	Pythagoras and Trigonometry	Pythagoras’ Theorem	Work out the value of x.
wider-geometry-2026-pythagoras-theorem-31	Pythagoras and Trigonometry	Pythagoras’ Theorem	Find the value of x.
wider-geometry-2026-pythagoras-theorem-25	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has shorter sides 3 cm and 4 cm. Work out the hypotenuse.
wider-geometry-2026-pythagoras-theorem-32	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has hypotenuse 20 m and one shorter side 12 m. Work out the other shorter side.
wider-geometry-2026-pythagoras-theorem-24	Pythagoras and Trigonometry	Pythagoras’ Theorem	A path cuts diagonally across a rectangular field that is 12 m by 16 m. Work out the length of the path.
wider-geometry-2026-pythagoras-theorem-33	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 3 m from the wall and the ladder reaches 4 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-23	Pythagoras and Trigonometry	Pythagoras’ Theorem	A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Which side is the hypotenuse?
wider-geometry-2026-pythagoras-theorem-22	Pythagoras and Trigonometry	Pythagoras’ Theorem	A rectangular screen in a sports hall plan is 9 cm wide and 12 cm high. Work out the diagonal length.
wider-geometry-2026-pythagoras-theorem-21	Pythagoras and Trigonometry	Pythagoras’ Theorem	A ladder leans against a wall. The foot of the ladder is 8 m from the wall and the ladder reaches 15 m up the wall. Work out the length of the ladder.
wider-geometry-2026-pythagoras-theorem-20	Pythagoras and Trigonometry	Pythagoras’ Theorem	Work out the size of x.
wider-geometry-2026-perpendicular-bisectors-01	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 8 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-03	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-perpendicular-bisectors-02	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-05	Transformations and Constructions	Constructing Perpendicular Bisectors	Point P is on the perpendicular bisector of AB. PA = 11 cm. Work out PB.
wider-geometry-2026-perpendicular-bisectors-04	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-07	Transformations and Constructions	Constructing Perpendicular Bisectors	Which statement is true for every point on the perpendicular bisector of AB?
wider-geometry-2026-perpendicular-bisectors-06	Transformations and Constructions	Constructing Perpendicular Bisectors	Line segment AB is 18 cm long. Its perpendicular bisector crosses AB at M. Work out AM.
wider-geometry-2026-perpendicular-bisectors-09	Transformations and Constructions	Constructing Perpendicular Bisectors	When constructing the perpendicular bisector of AB, the compass width should be more than half of AB. Why is this needed?
wider-geometry-2026-perpendicular-bisectors-08	Transformations and Constructions	Constructing Perpendicular Bisectors	A perpendicular bisector meets a line segment at what angle?
wider-geometry-2026-loci-32	Transformations and Constructions	Loci	What is the locus of points exactly 5 cm from a straight line?
wider-geometry-2026-loci-33	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-loci-30	Transformations and Constructions	Loci	Points that are nearer to A than to B are found on which side of the perpendicular bisector of AB?
wider-geometry-2026-loci-31	Transformations and Constructions	Loci	What is the locus of points exactly 4 cm from a fixed point P?
wider-geometry-2026-loci-25	Transformations and Constructions	Loci	What is the locus of points exactly 5 cm from a fixed point P?
wider-geometry-2026-loci-24	Transformations and Constructions	Loci	Points that are nearer to A than to B are found on which side of the perpendicular bisector of AB?
wider-geometry-2026-loci-27	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-loci-34	Transformations and Constructions	Loci	A dog is tied to a post with a 7 m lead. What shape is the boundary of the area it can reach?
wider-geometry-2026-loci-26	Transformations and Constructions	Loci	What is the locus of points exactly 6 cm from a straight line?
wider-geometry-2026-loci-35	Transformations and Constructions	Loci	A path must be less than 8 m from a straight fence. Which region represents the possible positions of the path?
wider-geometry-2026-loci-21	Transformations and Constructions	Loci	Points that are the same distance from points A and B lie on which construction?
wider-geometry-2026-loci-20	Transformations and Constructions	Loci	What is the locus of points exactly 7 cm from a straight line?
probability-2026-listing-007	Statistics and Probability	Listing Outcomes	A two-digit code for a family games evening is made using 5 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-006	Statistics and Probability	Listing Outcomes	For a classroom probability experiment, a choice is made from 2 poster designs and 5 background colours. How many different pairings are possible?
probability-2026-listing-005	Statistics and Probability	Listing Outcomes	For a card-tournament tie-break, one spinner can land on R or B and a second can land on 1, 2. Which list contains every combined outcome exactly once?
probability-2026-listing-004	Statistics and Probability	Listing Outcomes	During a mathematics club challenge, a coin is tossed 2 times. How many different ordered outcomes are possible?
probability-2026-listing-003	Statistics and Probability	Listing Outcomes	There are 4 routes from a station to a venue and 2 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-002	Statistics and Probability	Listing Outcomes	A two-digit code for a school fete game is made using 4 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-038	Statistics and Probability	Listing Outcomes	For a language-club game, there are 3 routes from a station to a venue and 5 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-001	Statistics and Probability	Listing Outcomes	At lunch time, a choice is made from 2 sandwich fillings and 2 bread choices. How many different pairings are possible?
probability-2026-listing-039	Statistics and Probability	Listing Outcomes	A coin is tossed 3 times. How many different ordered outcomes are possible?
probability-2026-listing-029	Statistics and Probability	Listing Outcomes	A coin is tossed 4 times. How many different ordered outcomes are possible?
probability-2026-listing-032	Statistics and Probability	Listing Outcomes	A two-digit code for a school council event is made using 6 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-028	Statistics and Probability	Listing Outcomes	For a dance-school fundraiser, there are 5 routes from a station to a venue and 3 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-043	Statistics and Probability	Listing Outcomes	For a concert-hall promotion, there are 4 routes from a station to a venue and 2 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-033	Statistics and Probability	Listing Outcomes	For a local-history exhibition, there are 2 routes from a station to a venue and 4 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-042	Statistics and Probability	Listing Outcomes	A two-digit code for a village-show game is made using 4 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-030	Statistics and Probability	Listing Outcomes	For a photography-club contest, one spinner can land on G or Y and a second can land on 1, 2, 3, 4. Which list contains every combined outcome exactly once?
probability-2026-listing-041	Statistics and Probability	Listing Outcomes	For a swimming-gala stall, a choice is made from 2 notebook covers and 2 paper types. How many different pairings are possible?
probability-2026-listing-009	Statistics and Probability	Listing Outcomes	During a charity fun-day game, a coin is tossed 3 times. How many different ordered outcomes are possible?
probability-2026-listing-031	Statistics and Probability	Listing Outcomes	For a sailing-club open day, a choice is made from 2 sandwich fillings and 2 bread choices. How many different pairings are possible?
probability-2026-listing-025	Statistics and Probability	Listing Outcomes	For a music-festival activity, one spinner can land on R or B and a second can land on 1, 2, 3, 4. Which list contains every combined outcome exactly once?
probability-2026-listing-040	Statistics and Probability	Listing Outcomes	For a craft-market competition, one spinner can land on A or C and a second can land on 1, 2. Which list contains every combined outcome exactly once?
probability-2026-listing-008	Statistics and Probability	Listing Outcomes	For a youth-club competition, there are 5 routes from a station to a venue and 3 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-036	Statistics and Probability	Listing Outcomes	For a running-club challenge, a choice is made from 2 poster designs and 5 background colours. How many different pairings are possible?
probability-2026-listing-024	Statistics and Probability	Listing Outcomes	During an art-club raffle game, a coin is tossed 3 times. How many different ordered outcomes are possible?
probability-2026-listing-037	Statistics and Probability	Listing Outcomes	A two-digit code for a bookshop promotion is made using 3 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-027	Statistics and Probability	Listing Outcomes	A two-digit code for a geography fieldwork game is made using 5 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-listing-034	Statistics and Probability	Listing Outcomes	During a technology workshop, a coin is tossed 2 times. How many different ordered outcomes are possible?
probability-2026-listing-026	Statistics and Probability	Listing Outcomes	For a chess-club warm-up, a choice is made from 2 notebook covers and 5 paper types. How many different pairings are possible?
probability-2026-listing-045	Statistics and Probability	Listing Outcomes	For a farmers' market game, one spinner can land on R or B and a second can land on 1, 2, 3. Which list contains every combined outcome exactly once?
probability-2026-listing-035	Statistics and Probability	Listing Outcomes	For a drama-club social, one spinner can land on P or Q and a second can land on 1, 2. Which list contains every combined outcome exactly once?
probability-2026-listing-021	Statistics and Probability	Listing Outcomes	For a tennis-club fundraiser, a choice is made from 2 poster designs and 2 background colours. How many different pairings are possible?
probability-2026-listing-044	Statistics and Probability	Listing Outcomes	During a college open-day activity, a coin is tossed 4 times. How many different ordered outcomes are possible?
probability-2026-listing-020	Statistics and Probability	Listing Outcomes	For a community quiz night, one spinner can land on A or C and a second can land on 1, 2, 3. Which list contains every combined outcome exactly once?
probability-2026-listing-023	Statistics and Probability	Listing Outcomes	For a cinema promotion, there are 4 routes from a station to a venue and 2 routes back. A different route may be used in each direction. How many outward-and-return journey combinations are possible?
probability-2026-listing-022	Statistics and Probability	Listing Outcomes	A two-digit code for a garden-show competition is made using 4 different digits. A digit cannot be repeated. How many codes are possible?
probability-2026-sample-space-031	Statistics and Probability	Sample Space Diagrams	In a family games evening, two fair spinners are numbered 1 to 5 and 1 to 5. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-030	Statistics and Probability	Sample Space Diagrams	In a classroom probability experiment, two trials can each produce H or T. Which ordered outcome has been omitted from the list HH, HT, TT?
probability-2026-sample-space-033	Statistics and Probability	Sample Space Diagrams	In a family games evening, fair spinners numbered 1 to 3 and 1 to 3 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-032	Statistics and Probability	Sample Space Diagrams	In a family games evening, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the two numbers have a total of 6.
probability-2026-scale-027	Statistics and Probability	Probability Scale	Two outcomes are being compared for cycle-share bikes being returned to a station. Outcome A has probability 0.3 and outcome B has probability 0.7. Which outcome is more likely?
probability-2026-sample-space-035	Statistics and Probability	Sample Space Diagrams	In a family games evening, fair spinners numbered 1 to 5 and 1 to 5 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-scale-026	Statistics and Probability	Probability Scale	A probability model is being made for water samples passing a purity test. Which of these values cannot be used as a probability?
probability-2026-sample-space-034	Statistics and Probability	Sample Space Diagrams	In a family games evening, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the product of the two numbers is even.
probability-2026-scale-025	Statistics and Probability	Probability Scale	The probability of restaurant bookings being confirmed is 0.5. Which word best describes this probability?
probability-2026-sample-space-037	Statistics and Probability	Sample Space Diagrams	In a youth-club competition, two fair spinners are numbered 1 to 3 and 1 to 3. How many equally likely outcomes are in the sample space?
probability-2026-scale-024	Statistics and Probability	Probability Scale	The probability of cameras detecting a vehicle correctly is 0.31, and the probability that it does not happen is 0.69. Which statement is correct?
probability-2026-sample-space-036	Statistics and Probability	Sample Space Diagrams	In a youth-club competition, two trials can each produce R or B. Which ordered outcome has been omitted from the list RR, RB, BB?
probability-2026-sample-space-039	Statistics and Probability	Sample Space Diagrams	In a youth-club competition, fair spinners numbered 1 to 5 and 1 to 5 are spun. Work out the probability that both spinners show the same number.
probability-2026-scale-022	Statistics and Probability	Probability Scale	The probability of school laptops connecting to the network is 0.05. Which description is most suitable?
probability-2026-scale-018	Statistics and Probability	Probability Scale	A probability model is being made for museum visitors choosing the audio guide. Which of these values cannot be used as a probability?
probability-2026-sample-space-038	Statistics and Probability	Sample Space Diagrams	In a youth-club competition, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the two numbers have a total of 5.
probability-2026-scale-021	Statistics and Probability	Probability Scale	Four possible outcomes are being compared for theatre seats being occupied at a matinee. Which list gives their probabilities in order from least likely to most likely?
probability-2026-scale-019	Statistics and Probability	Probability Scale	Two outcomes are being compared for delivery vans completing a route on time. Outcome A has probability 0.43 and outcome B has probability 0.57. Which outcome is more likely?
probability-2026-scale-020	Statistics and Probability	Probability Scale	The estimated probability of plants flowering before the end of May is 25%. Write this probability as a decimal.
probability-2026-sample-space-019	Statistics and Probability	Sample Space Diagrams	In a mathematics club challenge, two fair spinners are numbered 1 to 5 and 1 to 5. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-018	Statistics and Probability	Sample Space Diagrams	In a mathematics club challenge, two trials can each produce W or L. Which ordered outcome has been omitted from the list WW, LW, LL?
probability-2026-scale-009	Statistics and Probability	Probability Scale	The probability of buses having an available seat is 0.12. Which word best describes this probability?
probability-2026-scale-012	Statistics and Probability	Probability Scale	The estimated probability of students remembering their identity card is 80%. Write this probability as a decimal.
probability-2026-scale-008	Statistics and Probability	Probability Scale	The probability of concert tickets being sold online is 0.05, and the probability that it does not happen is 0.95. Which statement is correct?
probability-2026-scale-013	Statistics and Probability	Probability Scale	Four possible outcomes are being compared for hotel rooms being ready by check-in time. Which list gives their probabilities in order from least likely to most likely?
probability-2026-scale-010	Statistics and Probability	Probability Scale	A probability model is being made for bread loaves meeting the target weight. Which of these values cannot be used as a probability?
probability-2026-scale-029	Statistics and Probability	Probability Scale	Four possible outcomes are being compared for supermarket tills requiring assistance. Which list gives their probabilities in order from least likely to most likely?
probability-2026-scale-011	Statistics and Probability	Probability Scale	Two outcomes are being compared for mobile phones passing a battery check. Outcome A has probability 0.44 and outcome B has probability 0.56. Which outcome is more likely?
probability-2026-scale-005	Statistics and Probability	Probability Scale	Four possible outcomes are being compared for penalty kicks being scored. Which list gives their probabilities in order from least likely to most likely?
probability-2026-sample-space-013	Statistics and Probability	Sample Space Diagrams	In a television quiz round, two fair spinners are numbered 1 to 3 and 1 to 3. How many equally likely outcomes are in the sample space?
probability-2026-scale-028	Statistics and Probability	Probability Scale	The estimated probability of applications being submitted before the deadline is 60%. Write this probability as a decimal.
probability-2026-scale-016	Statistics and Probability	Probability Scale	The probability of weather forecasts correctly predicting rain is 0.18, and the probability that it does not happen is 0.82. Which statement is correct?
probability-2026-scale-004	Statistics and Probability	Probability Scale	The estimated probability of parcels arriving on the promised day is 60%. Write this probability as a decimal.
probability-2026-sample-space-012	Statistics and Probability	Sample Space Diagrams	In a television quiz round, two trials can each produce R or B. Which ordered outcome has been omitted from the list RB, BR, BB?
probability-2026-sample-space-028	Statistics and Probability	Sample Space Diagrams	In a classroom probability experiment, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the product of the two numbers is even.
probability-2026-scale-017	Statistics and Probability	Probability Scale	The probability of customers using contactless payment is 0.28. Which word best describes this probability?
probability-2026-scale-007	Statistics and Probability	Probability Scale	A model gives the probability of patients arriving on time for appointments as 15. Where should this be placed on a scale from 0 to 1?
probability-2026-sample-space-011	Statistics and Probability	Sample Space Diagrams	In a television quiz round, fair spinners numbered 1 to 5 and 1 to 5 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-029	Statistics and Probability	Sample Space Diagrams	In a classroom probability experiment, fair spinners numbered 1 to 3 and 1 to 3 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-scale-014	Statistics and Probability	Probability Scale	The probability of tennis serves landing in the service box is 0.83. Which description is most suitable?
probability-2026-scale-006	Statistics and Probability	Probability Scale	The probability of light bulbs passing a factory test is 0.7. Which description is most suitable?
probability-2026-sample-space-010	Statistics and Probability	Sample Space Diagrams	In a school fete game, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-026	Statistics and Probability	Sample Space Diagrams	In a classroom probability experiment, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the two numbers have a total of 7.
probability-2026-scale-015	Statistics and Probability	Probability Scale	A model gives the probability of eggs remaining unbroken during packing as 25. Where should this be placed on a scale from 0 to 1?
probability-2026-scale-001	Statistics and Probability	Probability Scale	The probability of trains arriving within five minutes of the timetable is 0. Which word best describes this probability?
probability-2026-sample-space-017	Statistics and Probability	Sample Space Diagrams	In a mathematics club challenge, fair spinners numbered 1 to 3 and 1 to 3 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-027	Statistics and Probability	Sample Space Diagrams	In a classroom probability experiment, fair spinners numbered 1 to 5 and 1 to 5 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-016	Statistics and Probability	Sample Space Diagrams	In a mathematics club challenge, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-024	Statistics and Probability	Sample Space Diagrams	In a card-tournament tie-break, two trials can each produce Y or N. Which ordered outcome has been omitted from the list YY, NY, NN?
probability-2026-scale-003	Statistics and Probability	Probability Scale	Two outcomes are being compared for seedlings surviving their first month. Outcome A has probability 0.31 and outcome B has probability 0.69. Which outcome is more likely?
probability-2026-sample-space-015	Statistics and Probability	Sample Space Diagrams	In a television quiz round, fair spinners numbered 1 to 5 and 1 to 5 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-025	Statistics and Probability	Sample Space Diagrams	In a card-tournament tie-break, two fair spinners are numbered 1 to 3 and 1 to 3. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-014	Statistics and Probability	Sample Space Diagrams	In a television quiz round, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the two numbers have a total of 9.
probability-2026-sample-space-022	Statistics and Probability	Sample Space Diagrams	In a card-tournament tie-break, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-023	Statistics and Probability	Sample Space Diagrams	In a card-tournament tie-break, fair spinners numbered 1 to 5 and 1 to 5 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-020	Statistics and Probability	Sample Space Diagrams	In a mathematics club challenge, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the two numbers have a total of 8.
probability-2026-sample-space-021	Statistics and Probability	Sample Space Diagrams	In a card-tournament tie-break, fair spinners numbered 1 to 3 and 1 to 3 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-044	Statistics and Probability	Sample Space Diagrams	In a charity fun-day game, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the two numbers have a total of 4.
probability-2026-sample-space-045	Statistics and Probability	Sample Space Diagrams	In a charity fun-day game, fair spinners numbered 1 to 3 and 1 to 3 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-046	Statistics and Probability	Sample Space Diagrams	In a puzzle-book activity, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-047	Statistics and Probability	Sample Space Diagrams	In a puzzle-book activity, fair spinners numbered 1 to 5 and 1 to 5 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-057	Statistics and Probability	Sample Space Diagrams	In a holiday-club challenge, fair spinners numbered 1 to 3 and 1 to 3 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-008	Statistics and Probability	Sample Space Diagrams	In a school fete game, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the two numbers have a total of 3.
probability-2026-sample-space-040	Statistics and Probability	Sample Space Diagrams	In a youth-club competition, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-056	Statistics and Probability	Sample Space Diagrams	In a holiday-club challenge, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the two numbers have a total of 9.
probability-2026-sample-space-009	Statistics and Probability	Sample Space Diagrams	In a school fete game, fair spinners numbered 1 to 3 and 1 to 3 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-041	Statistics and Probability	Sample Space Diagrams	In a charity fun-day game, fair spinners numbered 1 to 3 and 1 to 3 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-055	Statistics and Probability	Sample Space Diagrams	In a sports-day stall, two fair spinners are numbered 1 to 5 and 1 to 5. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-042	Statistics and Probability	Sample Space Diagrams	In a charity fun-day game, two trials can each produce W or L. Which ordered outcome has been omitted from the list WW, WL, LW?
probability-2026-sample-space-054	Statistics and Probability	Sample Space Diagrams	In a sports-day stall, two trials can each produce H or T. Which ordered outcome has been omitted from the list HT, TH, TT?
probability-2026-sample-space-043	Statistics and Probability	Sample Space Diagrams	In a charity fun-day game, two fair spinners are numbered 1 to 5 and 1 to 5. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-053	Statistics and Probability	Sample Space Diagrams	In a sports-day stall, fair spinners numbered 1 to 3 and 1 to 3 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-052	Statistics and Probability	Sample Space Diagrams	In a sports-day stall, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-051	Statistics and Probability	Sample Space Diagrams	In a sports-day stall, fair spinners numbered 1 to 5 and 1 to 5 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-050	Statistics and Probability	Sample Space Diagrams	In a puzzle-book activity, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the two numbers have a total of 3.
probability-2026-sample-space-048	Statistics and Probability	Sample Space Diagrams	In a puzzle-book activity, two trials can each produce Y or N. Which ordered outcome has been omitted from the list YY, YN, NY?
probability-2026-sample-space-001	Statistics and Probability	Sample Space Diagrams	In a board-game trial, two fair spinners are numbered 1 to 3 and 1 to 3. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-049	Statistics and Probability	Sample Space Diagrams	In a puzzle-book activity, two fair spinners are numbered 1 to 3 and 1 to 3. How many equally likely outcomes are in the sample space?
probability-2026-sample-space-002	Statistics and Probability	Sample Space Diagrams	In a board-game trial, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the two numbers have a total of 4.
probability-2026-sample-space-003	Statistics and Probability	Sample Space Diagrams	In a board-game trial, fair spinners numbered 1 to 5 and 1 to 5 are spun. Work out the probability that both spinners show the same number.
probability-2026-sample-space-004	Statistics and Probability	Sample Space Diagrams	In a board-game trial, fair spinners numbered 1 to 6 and 1 to 4 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-060	Statistics and Probability	Sample Space Diagrams	In a holiday-club challenge, two trials can each produce R or B. Which ordered outcome has been omitted from the list RB, BR, BB?
probability-2026-sample-space-005	Statistics and Probability	Sample Space Diagrams	In a board-game trial, fair spinners numbered 1 to 3 and 1 to 3 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-059	Statistics and Probability	Sample Space Diagrams	In a holiday-club challenge, fair spinners numbered 1 to 5 and 1 to 5 are spun. Calculate the probability that the first number is greater than the second.
probability-2026-sample-space-006	Statistics and Probability	Sample Space Diagrams	In a school fete game, two trials can each produce H or T. Which ordered outcome has been omitted from the list HT, TH, TT?
probability-2026-sample-space-058	Statistics and Probability	Sample Space Diagrams	In a holiday-club challenge, fair spinners numbered 1 to 4 and 1 to 6 are spun. Find the probability that the product of the two numbers is even.
probability-2026-sample-space-007	Statistics and Probability	Sample Space Diagrams	In a school fete game, two fair spinners are numbered 1 to 5 and 1 to 5. How many equally likely outcomes are in the sample space?
statistics-2026-mean-from-frequency-table-001	Statistics and Probability	Mean from a Frequency Table	The frequency table shows library loans. Calculate the mean.
statistics-2026-mean-from-frequency-table-002	Statistics and Probability	Mean from a Frequency Table	Use the frequency table to find the total number of observations.
statistics-2026-mean-from-frequency-table-003	Statistics and Probability	Mean from a Frequency Table	Work out the total of all the values represented by the frequency table.
statistics-2026-mean-from-frequency-table-004	Statistics and Probability	Mean from a Frequency Table	Write down the modal value from the frequency table.
statistics-2026-mean-from-frequency-table-005	Statistics and Probability	Mean from a Frequency Table	The total frequency is 22. Find the missing frequency in the table.
statistics-2026-mean-from-frequency-table-007	Statistics and Probability	Mean from a Frequency Table	How many cafe orders in the frequency table have a value less than 4?
statistics-2026-mean-from-frequency-table-008	Statistics and Probability	Mean from a Frequency Table	The x × f total for the complete table is 134. The visible rows contribute 99. Find the missing frequency for x = 5.
statistics-2026-mean-from-frequency-table-009	Statistics and Probability	Mean from a Frequency Table	Find the range of the number of museum visitors represented in the frequency table.
statistics-2026-mean-from-frequency-table-010	Statistics and Probability	Mean from a Frequency Table	The frequency table shows cycling distances. Calculate the mean cycling distance.
statistics-2026-mean-from-frequency-table-011	Statistics and Probability	Mean from a Frequency Table	Use the frequency table to find the total number of tests sat.
statistics-2026-mean-from-frequency-table-012	Statistics and Probability	Mean from a Frequency Table	Work out the total of all the values represented by the frequency table.
statistics-2026-mean-from-frequency-table-013	Statistics and Probability	Mean from a Frequency Table	Write down the modal number of hours of screen time from the frequency table.
statistics-2026-mean-from-frequency-table-014	Statistics and Probability	Mean from a Frequency Table	The total frequency is 24. Find the missing frequency in the table.
statistics-2026-mean-from-frequency-table-016	Statistics and Probability	Mean from a Frequency Table	How many observations in the frequency table have a value less than 3?
statistics-2026-mean-from-frequency-table-017	Statistics and Probability	Mean from a Frequency Table	The x × f total for the complete table is 86. The visible rows contribute 58. Find the missing frequency for x = 4.
statistics-2026-mean-from-frequency-table-018	Statistics and Probability	Mean from a Frequency Table	Find the range of the values represented in the frequency table.
statistics-2026-mean-from-frequency-table-019	Statistics and Probability	Mean from a Frequency Table	The frequency table shows five-a-side goals. Calculate the mean.
statistics-2026-mean-from-frequency-table-020	Statistics and Probability	Mean from a Frequency Table	Use the frequency table to find the total number of parcels.
statistics-2026-mean-from-frequency-table-021	Statistics and Probability	Mean from a Frequency Table	Work out the total of all the values represented by the frequency table.
statistics-2026-mean-from-frequency-table-022	Statistics and Probability	Mean from a Frequency Table	Write down the modal value from the frequency table.
statistics-2026-mean-from-frequency-table-023	Statistics and Probability	Mean from a Frequency Table	The total frequency is 26. Find the missing frequency in the table.
statistics-2026-mean-from-frequency-table-025	Statistics and Probability	Mean from a Frequency Table	How many observations in the frequency table have a value less than 7?
statistics-2026-mean-from-frequency-table-026	Statistics and Probability	Mean from a Frequency Table	The x × f total for the complete table is 54. The visible rows contribute 33. Find the missing frequency for x = 3.
statistics-2026-mean-from-frequency-table-027	Statistics and Probability	Mean from a Frequency Table	Find the range of shoe sizes represented in the frequency table.
statistics-2026-mean-from-frequency-table-028	Statistics and Probability	Mean from a Frequency Table	The frequency table shows phone-screen times. Calculate the mean.
statistics-2026-mean-from-frequency-table-029	Statistics and Probability	Mean from a Frequency Table	Use the frequency table to find the total number of observations.
statistics-2026-mean-from-frequency-table-030	Statistics and Probability	Mean from a Frequency Table	Work out the total of all the values represented by the frequency table.
statistics-2026-mean-from-frequency-table-031	Statistics and Probability	Mean from a Frequency Table	Write down the modal value from the frequency table.
statistics-2026-mean-from-frequency-table-032	Statistics and Probability	Mean from a Frequency Table	The total frequency is 28. Find the missing frequency in the table.
statistics-2026-mean-from-frequency-table-034	Statistics and Probability	Mean from a Frequency Table	How many observations in the frequency table have a value less than 6?
statistics-2026-mean-from-frequency-table-035	Statistics and Probability	Mean from a Frequency Table	The x × f total for the complete table is 178. The visible rows contribute 129. Find the missing frequency for x = 7.
statistics-2026-mean-from-frequency-table-036	Statistics and Probability	Mean from a Frequency Table	Find the range of the values represented in the frequency table.
statistics-2026-mean-from-frequency-table-037	Statistics and Probability	Mean from a Frequency Table	The frequency table shows cafe orders. Calculate the mean number of cafe orders.
statistics-2026-mean-from-frequency-table-038	Statistics and Probability	Mean from a Frequency Table	Use the frequency table to find the total number of observations.
statistics-2026-mean-from-frequency-table-039	Statistics and Probability	Mean from a Frequency Table	Work out the total of all the values represented by the frequency table.
statistics-2026-mean-from-frequency-table-040	Statistics and Probability	Mean from a Frequency Table	Write down the modal value from the frequency table.
statistics-2026-mean-from-frequency-table-041	Statistics and Probability	Mean from a Frequency Table	The total frequency is 17. Find the missing frequency in the table.
statistics-2026-mean-from-frequency-table-043	Statistics and Probability	Mean from a Frequency Table	How many observations in the frequency table have a value less than 5?
statistics-2026-mean-from-frequency-table-044	Statistics and Probability	Mean from a Frequency Table	The x × f total for the complete table is 168. The visible rows contribute 126. Find the missing frequency for x = 6.
statistics-2026-mean-from-frequency-table-045	Statistics and Probability	Mean from a Frequency Table	Find the range of the values represented in the frequency table.
statistics-2026-bar-charts-001	Statistics and Probability	Bar Charts	Which day has the greatest frequency on the bar chart?
statistics-2026-bar-charts-002	Statistics and Probability	Bar Charts	Calculate how many students in total are represented in the bar chart.
statistics-2026-bar-charts-003	Statistics and Probability	Bar Charts	How many more chose Pear than Apple are shown?
statistics-2026-bar-charts-004	Statistics and Probability	Bar Charts	Find the combined frequency for South and West.
statistics-2026-bar-charts-005	Statistics and Probability	Bar Charts	The five categories have a total frequency of 62. Work out the height of the missing Green bar.
statistics-2026-bar-charts-006	Statistics and Probability	Bar Charts	How many hospital admissions were on Friday?
statistics-2026-bar-charts-007	Statistics and Probability	Bar Charts	Which statement is correct for the bar chart?
statistics-2026-bar-charts-008	Statistics and Probability	Bar Charts	A student incorrectly reads the Orange bar as 23. What is its correct frequency?
statistics-2026-bar-charts-009	Statistics and Probability	Bar Charts	Which area had the most people from?
statistics-2026-bar-charts-010	Statistics and Probability	Bar Charts	Calculate how many people in total were asked what their favourite colour is.
statistics-2026-bar-charts-011	Statistics and Probability	Bar Charts	The bar chart shows the number of visitors to a swimming pool. How many more visitors were on Monday than Tuesday?
statistics-2026-bar-charts-012	Statistics and Probability	Bar Charts	Find the combined frequency for Music and Art.
statistics-2026-bar-charts-013	Statistics and Probability	Bar Charts	In total 46 people were asked what their favourite fruit is. How many people prefer orange?
statistics-2026-bar-charts-014	Statistics and Probability	Bar Charts	Write down the frequency represented by the Central bar.
statistics-2026-bar-charts-015	Statistics and Probability	Bar Charts	Which statement is correct for the bar chart?
statistics-2026-bar-charts-016	Statistics and Probability	Bar Charts	What is its correct frequency for Wednesday?
statistics-2026-bar-charts-017	Statistics and Probability	Bar Charts	Which subject has the greatest frequency on the bar chart?
statistics-2026-bar-charts-018	Statistics and Probability	Bar Charts	Calculate the total frequency shown by the five bars.
statistics-2026-bar-charts-019	Statistics and Probability	Bar Charts	How many more are from South than North?
statistics-2026-bar-charts-020	Statistics and Probability	Bar Charts	Find the combined total for Blue and Yellow.
statistics-2026-bar-charts-021	Statistics and Probability	Bar Charts	64 people visited the park in total. Work out how many people visited on Wednesday.
statistics-2026-bar-charts-022	Statistics and Probability	Bar Charts	Write down the frequency represented by the Coding bar.
statistics-2026-bar-charts-023	Statistics and Probability	Bar Charts	Which statement is correct for the bar chart?
statistics-2026-bar-charts-024	Statistics and Probability	Bar Charts	A student reads the East bar as 20. What is its correct frequency?
statistics-2026-bar-charts-025	Statistics and Probability	Bar Charts	Which category has the greatest frequency on the bar chart?
statistics-2026-bar-charts-026	Statistics and Probability	Bar Charts	Calculate the total frequency shown by the five bars.
statistics-2026-bar-charts-027	Statistics and Probability	Bar Charts	How many more Music than Drama are shown?
statistics-2026-bar-charts-028	Statistics and Probability	Bar Charts	Find the combined frequency for Pear and Banana.
statistics-2026-bar-charts-029	Statistics and Probability	Bar Charts	The five categories have a total frequency of 65. Work out the height of the missing East bar.
statistics-2026-bar-charts-030	Statistics and Probability	Bar Charts	Write down the frequency represented by the Purple bar.
statistics-2026-bar-charts-031	Statistics and Probability	Bar Charts	Which statement is correct for the bar chart?
statistics-2026-bar-charts-032	Statistics and Probability	Bar Charts	A student reads the Sport bar as 10. What is its correct frequency?
statistics-2026-bar-charts-033	Statistics and Probability	Bar Charts	Which category has the greatest frequency on the bar chart?
statistics-2026-bar-charts-034	Statistics and Probability	Bar Charts	Calculate the total frequency shown by the five bars.
statistics-2026-bar-charts-035	Statistics and Probability	Bar Charts	How many more Blue than Red are shown?
statistics-2026-bar-charts-036	Statistics and Probability	Bar Charts	Find the combined frequency for Tuesday and Thursday.
statistics-2026-bar-charts-037	Statistics and Probability	Bar Charts	The five categories have a total frequency of 66. Work out the height of the missing Sport bar.
statistics-2026-bar-charts-038	Statistics and Probability	Bar Charts	Write down the frequency represented by the Grapes bar.
statistics-2026-bar-charts-039	Statistics and Probability	Bar Charts	Which statement is correct for the bar chart?
statistics-2026-bar-charts-040	Statistics and Probability	Bar Charts	A student reads the Green bar as 17. What is its correct frequency?
statistics-2026-pictograms-001	Statistics and Probability	Pictograms	How many items are represented by the Monday row?
statistics-2026-pictograms-002	Statistics and Probability	Pictograms	The pictogram shows pupils choosing five after-school enrichment clubs. Find the combined frequency for Music and Sport.
statistics-2026-pictograms-003	Statistics and Probability	Pictograms	The pictogram shows crates of five types of fruit delivered to a farm shop. Work out the difference between the frequencies for Apple and Banana.
statistics-2026-pictograms-004	Statistics and Probability	Pictograms	The pictogram shows online orders sent to five delivery regions. What does half of one symbol represent?
statistics-2026-pictograms-005	Statistics and Probability	Pictograms	The pictogram shows votes for five sports-day team colours. Calculate the total frequency shown by the pictogram.
statistics-2026-pictograms-006	Statistics and Probability	Pictograms	The pictogram shows bicycles hired at a country park during the working week. Which category has the greatest frequency?
statistics-2026-pictograms-007	Statistics and Probability	Pictograms	The pictogram shows places booked for workshops at a youth festival. A student counts each symbol as one item. How many items does the Sport row actually represent?
statistics-2026-pictograms-008	Statistics and Probability	Pictograms	The pictogram shows fruit trees planted in a new community orchard. How many items are represented by the Apple row?
statistics-2026-pictograms-009	Statistics and Probability	Pictograms	The pictogram shows volunteers working in five areas of a nature reserve. Find the combined frequency for South and East.
statistics-2026-pictograms-010	Statistics and Probability	Pictograms	The pictogram shows wristbands issued in five colours at a music event. Work out the difference between the frequencies for Red and Yellow.
statistics-2026-pictograms-011	Statistics and Probability	Pictograms	The pictogram shows visitors attending a local museum on five weekdays. What does half of one symbol represent?
statistics-2026-pictograms-012	Statistics and Probability	Pictograms	The pictogram shows students selecting activities for an enrichment day. Calculate the total frequency shown by the pictogram.
statistics-2026-pictograms-013	Statistics and Probability	Pictograms	The pictogram shows smoothies of five flavours sold at a sports centre. Which category has the greatest frequency?
statistics-2026-pictograms-014	Statistics and Probability	Pictograms	The pictogram shows tickets sold at five entrances to a summer fair. A student counts each symbol as one item. How many items does the East row actually represent?
statistics-2026-pictograms-015	Statistics and Probability	Pictograms	The pictogram shows paint tins sold in five popular colours. How many items are represented by the Red row?
statistics-2026-pictograms-016	Statistics and Probability	Pictograms	The pictogram shows parcels dispatched by a small business from Monday to Friday. Find the combined frequency for Tuesday and Wednesday.
statistics-2026-pictograms-017	Statistics and Probability	Pictograms	The pictogram shows members attending sessions at a community centre. Work out the difference between the frequencies for Drama and Art.
statistics-2026-pictograms-018	Statistics and Probability	Pictograms	The pictogram shows baskets of fruit prepared for a food market. What does one quarter of one symbol represent?
statistics-2026-pictograms-019	Statistics and Probability	Pictograms	The pictogram shows homes visited in five neighbourhood zones. Calculate the total frequency shown by the pictogram.
statistics-2026-pictograms-020	Statistics and Probability	Pictograms	The pictogram shows helmets chosen in five colours at a cycle-hire centre. Which category has the greatest frequency?
statistics-2026-pictograms-021	Statistics and Probability	Pictograms	The pictogram shows books borrowed from a school library during one week. A student counts each symbol as one item. How many items does the Wednesday row actually represent?
statistics-2026-pictograms-022	Statistics and Probability	Pictograms	The pictogram shows tickets reserved for five school showcase events. How many items are represented by the Drama row?
statistics-2026-pictograms-023	Statistics and Probability	Pictograms	The pictogram shows pieces of fruit selected in a school lunch survey. Find the combined frequency for Pear and Orange.
statistics-2026-pictograms-024	Statistics and Probability	Pictograms	The pictogram shows seed packets delivered to five allotment sections. Work out the difference between the frequencies for North and West.
statistics-2026-pictograms-025	Statistics and Probability	Pictograms	The pictogram shows folders ordered in five colours for a school office. What does half of one symbol represent?
statistics-2026-pictograms-026	Statistics and Probability	Pictograms	The pictogram shows swimming-pool admissions recorded across five weekdays. Calculate the total frequency shown by the pictogram.
statistics-2026-pictograms-027	Statistics and Probability	Pictograms	The pictogram shows holiday-club bookings for five different activities. Which category has the greatest frequency?
statistics-2026-pictograms-028	Statistics and Probability	Pictograms	The pictogram shows fruit boxes packed by a local produce supplier. A student counts each symbol as one item. How many items does the Orange row actually represent?
statistics-2026-pictograms-029	Statistics and Probability	Pictograms	The pictogram shows maintenance jobs completed in five service areas. How many items are represented by the North row?
statistics-2026-pictograms-030	Statistics and Probability	Pictograms	The pictogram shows charity badges sold in five different colours. Find the combined frequency for Blue and Green.
statistics-2026-pictograms-031	Statistics and Probability	Pictograms	The pictogram shows meals served by a college canteen from Monday to Friday. Work out the difference between the frequencies for Monday and Thursday.
statistics-2026-pictograms-032	Statistics and Probability	Pictograms	The pictogram shows volunteers assigned to five charity-event teams. What does one quarter of one symbol represent?
statistics-2026-pictograms-033	Statistics and Probability	Pictograms	The pictogram shows orders for five fruits at a greengrocer. Calculate the total frequency shown by the pictogram.
statistics-2026-pictograms-034	Statistics and Probability	Pictograms	The pictogram shows donations collected from five parts of a town. Which category has the greatest frequency?
statistics-2026-pictograms-035	Statistics and Probability	Pictograms	The pictogram shows team bibs selected in five colours for a tournament. A student counts each symbol as one item. How many items does the Green row actually represent?
statistics-2026-two-way-tables-002	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Riverside Academy travel to school. How many students are represented by the completed two-way table?
statistics-2026-two-way-tables-003	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Oakfield School travel to school. How many Year 11 students travel by bus?
statistics-2026-two-way-tables-004	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Hillcrest College travel to school. How many students walk to school altogether?
statistics-2026-two-way-tables-005	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Westbrook School travel to school. The Year 10 total is 19. Find the missing number of Year 10 bus users.
statistics-2026-two-way-tables-006	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Meadow Park Academy travel to school. How many students do not travel by bus?
statistics-2026-two-way-tables-007	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Kingsway School travel to school. One student is selected at random. Write the probability that the student is in Year 10 and walks to school.
statistics-2026-two-way-tables-008	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Harbour View College travel to school. Which total checks the Bus column?
statistics-2026-two-way-tables-009	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Greenfield Academy travel to school. A student claims the grand total is 34. What is the correct grand total?
statistics-2026-two-way-tables-011	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Lakeside College travel to school. How many students are represented by the completed two-way table?
statistics-2026-two-way-tables-012	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Brookdale Academy travel to school. How many Year 11 students travel by bus?
statistics-2026-two-way-tables-013	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Fairview School travel to school. How many students walk to school altogether?
statistics-2026-two-way-tables-014	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Cedar Grove College travel to school. The Year 10 total is 21. Find the missing number of Year 10 bus users.
statistics-2026-two-way-tables-015	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Parkside Academy travel to school. How many students do not travel by bus?
statistics-2026-two-way-tables-016	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Northgate School travel to school. One student is selected at random. Write the probability that the student is in Year 10 and walks to school.
statistics-2026-two-way-tables-017	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Riverside Academy travel to school. Which total checks the Bus column?
statistics-2026-two-way-tables-018	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Oakfield School travel to school. A student claims the grand total is 41. What is the correct grand total?
statistics-2026-two-way-tables-020	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Westbrook School travel to school. How many students are represented by the completed two-way table?
statistics-2026-two-way-tables-021	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Meadow Park Academy travel to school. How many Year 11 students travel by bus?
statistics-2026-two-way-tables-022	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Kingsway School travel to school. How many students walk to school altogether?
statistics-2026-two-way-tables-023	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Harbour View College travel to school. The Year 10 total is 16. Find the missing number of Year 10 bus users.
statistics-2026-two-way-tables-024	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Greenfield Academy travel to school. How many students do not travel by bus?
statistics-2026-two-way-tables-025	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Redwood School travel to school. One student is selected at random. Write the probability that the student is in Year 10 and walks to school.
statistics-2026-two-way-tables-026	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Lakeside College travel to school. Which total checks the Bus column?
statistics-2026-two-way-tables-027	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Brookdale Academy travel to school. A student claims the grand total is 48. What is the correct grand total?
statistics-2026-two-way-tables-029	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Cedar Grove College travel to school. How many students are represented by the completed two-way table?
statistics-2026-two-way-tables-030	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Parkside Academy travel to school. How many Year 11 students travel by bus?
statistics-2026-two-way-tables-031	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Northgate School travel to school. How many students walk to school altogether?
statistics-2026-two-way-tables-032	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Riverside Academy travel to school. The Year 10 total is 18. Find the missing number of Year 10 bus users.
statistics-2026-two-way-tables-033	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Oakfield School travel to school. How many students do not travel by bus?
statistics-2026-two-way-tables-034	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Hillcrest College travel to school. One student is selected at random. Write the probability that the student is in Year 10 and walks to school.
statistics-2026-two-way-tables-035	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Westbrook School travel to school. Which total checks the Bus column?
statistics-2026-two-way-tables-036	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Meadow Park Academy travel to school. A student claims the grand total is 33. What is the correct grand total?
statistics-2026-two-way-tables-038	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Harbour View College travel to school. How many students are represented by the completed two-way table?
statistics-2026-two-way-tables-039	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Greenfield Academy travel to school. How many Year 11 students travel by bus?
statistics-2026-two-way-tables-040	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Redwood School travel to school. How many students walk to school altogether?
statistics-2026-two-way-tables-041	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Lakeside College travel to school. The Year 10 total is 20. Find the missing number of Year 10 bus users.
statistics-2026-two-way-tables-042	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Brookdale Academy travel to school. How many students do not travel by bus?
statistics-2026-two-way-tables-043	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Fairview School travel to school. One student is selected at random. Write the probability that the student is in Year 10 and walks to school.
statistics-2026-two-way-tables-044	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Cedar Grove College travel to school. Which total checks the Bus column?
statistics-2026-two-way-tables-045	Statistics and Probability	Two-Way Tables	The two-way table shows how Year 10 and Year 11 pupils at Parkside Academy travel to school. A student claims the grand total is 40. What is the correct grand total?
statistics-2026-scatter-graphs-001	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a Year 11 revision study at Northgate School. Describe the correlation shown by the scatter graph.
statistics-2026-scatter-graphs-002	Statistics and Probability	Scatter Graphs	The scatter graph shows data from used cars advertised by a town-centre dealership. Write down the coordinates of the point with x-coordinate 4.
statistics-2026-scatter-graphs-003	Statistics and Probability	Scatter Graphs	The scatter graph shows data from daily sales at a seaside ice-cream kiosk. Which statement best describes the relationship shown?
statistics-2026-scatter-graphs-004	Statistics and Probability	Scatter Graphs	The scatter graph shows data from visitor numbers recorded at a city park. Which labelled point is an outlier?
statistics-2026-scatter-graphs-005	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements collected by a school science club. Use the line of best fit to estimate the y-value when x = 6.
statistics-2026-scatter-graphs-006	Statistics and Probability	Scatter Graphs	The scatter graph shows data from delivery journeys made by a furniture company. Why should an estimate made beyond 9km be treated cautiously?
statistics-2026-scatter-graphs-007	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a revision programme at Riverside Academy. Which variable should be plotted on the horizontal axis?
statistics-2026-scatter-graphs-008	Statistics and Probability	Scatter Graphs	The scatter graph shows data from second-hand cars sold through an online marketplace. Which conclusion is justified by the graph?
statistics-2026-scatter-graphs-009	Statistics and Probability	Scatter Graphs	The scatter graph shows data from refreshment sales at an outdoor theatre. A student joins every point in order. Which construction is more appropriate for showing the overall trend?
statistics-2026-scatter-graphs-010	Statistics and Probability	Scatter Graphs	The scatter graph shows data from attendance at a woodland visitor centre. Describe the correlation shown by the scatter graph.
statistics-2026-scatter-graphs-011	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements from a youth basketball squad. Write down the coordinates of the point with x-coordinate 4.
statistics-2026-scatter-graphs-012	Statistics and Probability	Scatter Graphs	The scatter graph shows data from courier journeys across a rural district. Which statement best describes the relationship shown?
statistics-2026-scatter-graphs-013	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a mock-exam study at Oakfield School. Which labelled point is an outlier?
statistics-2026-scatter-graphs-014	Statistics and Probability	Scatter Graphs	The scatter graph shows data from vehicles assessed at a local car auction. Use the line of best fit to estimate the y-value when x = 6.
statistics-2026-scatter-graphs-015	Statistics and Probability	Scatter Graphs	The scatter graph shows data from cold-drink sales during a summer festival. Why should an estimate made beyond the largest x-value be treated cautiously?
statistics-2026-scatter-graphs-016	Statistics and Probability	Scatter Graphs	The scatter graph shows data from footfall recorded at a botanical garden. Which variable should be plotted on the horizontal axis?
statistics-2026-scatter-graphs-017	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements taken during a health survey. Which conclusion is justified by the graph?
statistics-2026-scatter-graphs-018	Statistics and Probability	Scatter Graphs	The scatter graph shows data from grocery deliveries made across a city. A student joins every point in order. Which construction is more appropriate for showing the overall trend?
statistics-2026-scatter-graphs-019	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a homework study at Hillcrest College. Describe the correlation shown by the scatter graph.
statistics-2026-scatter-graphs-020	Statistics and Probability	Scatter Graphs	The scatter graph shows data from cars valued by an independent garage. Write down the coordinates of the point with x-coordinate 4.
statistics-2026-scatter-graphs-021	Statistics and Probability	Scatter Graphs	The scatter graph shows data from dessert sales at a family restaurant. Which statement best describes the relationship shown?
statistics-2026-scatter-graphs-022	Statistics and Probability	Scatter Graphs	The scatter graph shows data from attendance at a riverside recreation ground. Which labelled point is an outlier?
statistics-2026-scatter-graphs-023	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements from an athletics training group. Use the line of best fit to estimate the y-value when x = 6.
statistics-2026-scatter-graphs-024	Statistics and Probability	Scatter Graphs	The scatter graph shows data from journeys completed by a mobile library. Why should an estimate made beyond the largest x-value be treated cautiously?
statistics-2026-scatter-graphs-025	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a revision trial at Westbrook School. Which variable should be plotted on the horizontal axis?
statistics-2026-scatter-graphs-026	Statistics and Probability	Scatter Graphs	The scatter graph shows data from trade-in cars inspected by a dealership. Which conclusion is justified by the graph?
statistics-2026-scatter-graphs-027	Statistics and Probability	Scatter Graphs	The scatter graph shows data from ice-lolly sales at a sports tournament. A student joins every point in order. Which construction is more appropriate for showing the overall trend?
statistics-2026-scatter-graphs-028	Statistics and Probability	Scatter Graphs	The scatter graph shows data from visitor totals at a heritage garden. Describe the correlation shown by the scatter graph.
statistics-2026-scatter-graphs-029	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements collected at a community sports day. Write down the coordinates of the point with x-coordinate 4.
statistics-2026-scatter-graphs-030	Statistics and Probability	Scatter Graphs	The scatter graph shows data from service calls made by a repair company. Which statement best describes the relationship shown?
statistics-2026-scatter-graphs-031	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a study-skills project at Meadow Park Academy. Which labelled point is an outlier?
statistics-2026-scatter-graphs-032	Statistics and Probability	Scatter Graphs	The scatter graph shows data from cars listed by a vehicle-leasing company. Use the line of best fit to estimate the y-value when x = 6.
statistics-2026-scatter-graphs-033	Statistics and Probability	Scatter Graphs	The scatter graph shows data from cold-dessert sales at a holiday park. Why should an estimate made beyond the largest x-value be treated cautiously?
statistics-2026-scatter-graphs-034	Statistics and Probability	Scatter Graphs	The scatter graph shows data from attendance at an urban nature reserve. Which variable should be plotted on the horizontal axis?
statistics-2026-scatter-graphs-035	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements from a school rowing club. Which conclusion is justified by the graph?
statistics-2026-scatter-graphs-036	Statistics and Probability	Scatter Graphs	The scatter graph shows data from meal deliveries made by a catering business. A student joins every point in order. Which construction is more appropriate for showing the overall trend?
statistics-2026-scatter-graphs-037	Statistics and Probability	Scatter Graphs	The scatter graph shows data from a revision survey at Kingsway School. Describe the correlation shown by the scatter graph.
statistics-2026-scatter-graphs-038	Statistics and Probability	Scatter Graphs	The scatter graph shows data from vehicles checked at a used-car showroom. Write down the coordinates of the point with x-coordinate 4.
statistics-2026-scatter-graphs-039	Statistics and Probability	Scatter Graphs	The scatter graph shows data from frozen-yoghurt sales at a shopping centre. Which statement best describes the relationship shown?
statistics-2026-scatter-graphs-040	Statistics and Probability	Scatter Graphs	The scatter graph shows data from visitor numbers at a sculpture park. Which labelled point is an outlier?
statistics-2026-scatter-graphs-041	Statistics and Probability	Scatter Graphs	The scatter graph shows data from measurements collected by a physiotherapy clinic. Use the line of best fit to estimate the y-value when x = 6.
statistics-2026-scatter-graphs-042	Statistics and Probability	Scatter Graphs	The scatter graph shows data from equipment deliveries made to building sites. Why should an estimate made beyond the largest x-value be treated cautiously?
statistics-2026-scatter-graphs-043	Statistics and Probability	Scatter Graphs	The scatter graph shows data from an independent-study project at Harbour View College. Which variable should be plotted on the horizontal axis?
statistics-2026-scatter-graphs-044	Statistics and Probability	Scatter Graphs	The scatter graph shows data from cars assessed for an insurance survey. Which conclusion is justified by the graph?
statistics-2026-scatter-graphs-045	Statistics and Probability	Scatter Graphs	The scatter graph shows data from refreshment sales at a county show. A student joins every point in order. Which construction is more appropriate for showing the overall trend?
statistics-probability-2026-scatter-graphs-001	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between hours revised and test score (marks out of 25). Describe the correlation shown by the scatter graph.
statistics-probability-2026-scatter-graphs-002	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between outside temperature (°C) and hot drinks sold. Which point is the outlier?
statistics-probability-2026-scatter-graphs-003	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between age of delivery van (years) and annual repair cost (£100s). Why does correlation not prove that one variable causes the other?
statistics-probability-2026-scatter-graphs-004	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between distance cycled (km) and journey time (minutes). A prediction is made far beyond the plotted x-values. Why may it be unreliable?
statistics-probability-2026-scatter-graphs-006	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between practice time (hours) and skills-test score (out of 25). Describe the correlation shown by the scatter graph.
statistics-probability-2026-scatter-graphs-007	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between rainfall (mm) and reservoir depth (m). Which point is the outlier?
statistics-probability-2026-scatter-graphs-008	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between screen time (hours) and hours of sleep. Why does correlation not prove that one variable causes the other?
statistics-probability-2026-scatter-graphs-009	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between practice sessions attended and accuracy score (out of 25). A prediction is made far beyond the plotted x-values. Why may it be unreliable?
statistics-probability-2026-scatter-graphs-010	Statistics and Probability	Scatter Graphs	The diagram shows the relationship between delivery load (tonnes) and fuel used (litres). Use the line of best fit to estimate y when x = 10.

Visual coverage by subtopic

Topic	Subtopic	Total	With visuals	Likely needed	Coverage
Algebra	Coordinates	37	15	37	41%
Algebra	Plotting Coordinates	36	28	36	78%
Algebra	Plotting Linear Graphs	38	28	38	74%
Algebra	Interpreting Gradient and Y-Intercept	38	14	38	37%
Algebra	Real-Life Graphs	38	24	38	63%
Algebra	Conversion Graphs	36	30	36	83%
Geometry and Measures	Perimeter of Rectangles and Compound Shapes	46	19	46	41%
Geometry and Measures	Area of Rectangles	47	20	47	43%
Geometry and Measures	Area of Parallelograms	47	20	47	43%
Geometry and Measures	Area of Triangles	47	20	47	43%
Geometry and Measures	Area of Trapezia	47	20	47	43%
Geometry and Measures	Scales and Reading Measures	46	15	46	33%
Geometry and Measures	Types of Angles	47	13	0	Not required
Geometry and Measures	Angles on a Straight Line and Around a Point	47	19	47	40%
Geometry and Measures	Angles in Triangles	47	18	47	38%
Geometry and Measures	Angles in Quadrilaterals	47	17	47	36%
Geometry and Measures	Properties of 2D Shapes	47	14	47	30%
Geometry and Measures	Circumference of a Circle	47	20	47	43%
Geometry and Measures	Area of a Circle	46	20	46	43%
Geometry and Measures	Area of Compound Shapes	47	17	47	36%
Geometry and Measures	Volume of Cuboids	47	17	47	36%
Geometry and Measures	Surface Area of Cuboids	47	20	47	43%
Transformations and Constructions	Reflections	21	13	21	62%
Transformations and Constructions	Rotations	21	11	21	52%
Transformations and Constructions	Translations	21	10	21	48%
Transformations and Constructions	Enlargements	21	11	21	52%
Transformations and Constructions	Plans and Elevations	21	16	21	76%
Transformations and Constructions	Drawing Triangles Accurately	56	16	56	29%
Transformations and Constructions	Constructing Perpendicular Bisectors	56	12	56	21%
Transformations and Constructions	Constructing Angle Bisectors	57	11	57	19%
Transformations and Constructions	Loci	57	15	57	26%
Statistics and Probability	Mean from a Frequency Table	69	28	69	41%
Statistics and Probability	Bar Charts	60	19	60	32%
Statistics and Probability	Pictograms	55	17	55	31%
Statistics and Probability	Two-Way Tables	105	65	105	62%
Statistics and Probability	Probability Scale	49	17	49	35%
Statistics and Probability	Listing Outcomes	57	13	57	23%
Statistics and Probability	Sample Space Diagrams	81	14	81	17%
Statistics and Probability	Scatter Graphs	82	23	82	28%

Accuracy audit summary

8350

Questions checked

1272

Warnings

1248

Manual review

Number7

Algebra101

Ratio and Proportion3

Geometry and Measures501

Transformations and Constructions218

Pythagoras and Trigonometry63

Statistics and Probability379

Accuracy warning types

explanation does not mention the answer51

visual dimensions may not match answer1211

missing accepted answers1

typed question may need tolerance5

suspicious answer2

duplicate multiple-choice options2

Questions needing manual accuracy review

Question ID	Topic	Subtopic	Warnings	Question
fmp-7	Number	Factors, Multiples and Primes	explanation does not mention the answer	How many factors does a prime number have?
fmp-8	Number	Factors, Multiples and Primes	explanation does not mention the answer	Which list contains only factors of 30?
rsf-9	Number	Rounding to Significant Figures	explanation does not mention the answer	Round 0.00986 to 2 significant figures.
sequences-4	Algebra	Sequences	explanation does not mention the answer	Which sequence has the rule 'add 7'?
sequences-7	Algebra	Sequences	explanation does not mention the answer	Which sequence is decreasing by 6 each time?
sequences-8	Algebra	Sequences	explanation does not mention the answer	What are the next two terms in 2, 4, 8, 16, ...?
coordinates-3	Algebra	Coordinates	visual dimensions may not match answer	In the coordinate (2, -6), what is the y-coordinate?
coordinates-6	Algebra	Coordinates	visual dimensions may not match answer	Which coordinate lies on the y-axis?
coordinates-7	Algebra	Coordinates	visual dimensions may not match answer	Which coordinate lies on the x-axis?
coordinates-typed-1	Algebra	Coordinates	visual dimensions may not match answer	Write the coordinate with x = -2 and y = 6.
plotting-coordinates-1	Algebra	Plotting Coordinates	visual dimensions may not match answer	To plot (4, -3), which movement is correct from the origin?
plotting-coordinates-2	Algebra	Plotting Coordinates	visual dimensions may not match answer	Which point is plotted 2 left and 5 up from the origin?
plotting-coordinates-4	Algebra	Plotting Coordinates	visual dimensions may not match answer	Which point is 6 units below the x-axis and on the y-axis?
plotting-coordinates-5	Algebra	Plotting Coordinates	visual dimensions may not match answer	Which coordinate is 3 units left of (2, 1)?
plotting-coordinates-6	Algebra	Plotting Coordinates	visual dimensions may not match answer	Which point is on the x-axis?
plotting-coordinates-typed-1	Algebra	Plotting Coordinates	visual dimensions may not match answer	Write the coordinate 5 left and 2 down from the origin.
plotting-coordinates-typed-2	Algebra	Plotting Coordinates	visual dimensions may not match answer	A point starts at (-1, 4) and moves 3 right and 6 down. Write the new coordinate.
plotting-linear-graphs-5	Algebra	Plotting Linear Graphs	visual dimensions may not match answer	What shape should the graph of y = 3x be?
plotting-linear-graphs-6	Algebra	Plotting Linear Graphs	visual dimensions may not match answer	For y = x - 4, what is y when x = 6?
plotting-linear-graphs-8	Algebra	Plotting Linear Graphs	explanation does not mention the answer	How many points do you need at minimum to draw a straight line accurately?
plotting-linear-graphs-typed-1	Algebra	Plotting Linear Graphs	visual dimensions may not match answer	For y = 3x + 2, find y when x = 4.
plotting-linear-graphs-typed-2	Algebra	Plotting Linear Graphs	visual dimensions may not match answer	For y = 2x - 3, find y when x = -1.
gradient-y-intercept-1	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	In y = 2x + 5, what is the y-intercept?
gradient-y-intercept-2	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	In y = 3x - 1, what is the gradient?
gradient-y-intercept-3	Algebra	Interpreting Gradient and Y-Intercept	explanation does not mention the answer, visual dimensions may not match answer	A line crosses the y-axis at (0, 4). What is its y-intercept?
gradient-y-intercept-4	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	Which line is steepest?
gradient-y-intercept-5	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	A gradient of 2 means that for every 1 right, the line goes...
gradient-y-intercept-7	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	In y = -2x + 3, what does the negative gradient show?
gradient-y-intercept-8	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	Which equation has y-intercept -4?
gradient-y-intercept-typed-1	Algebra	Interpreting Gradient and Y-Intercept	visual dimensions may not match answer	In y = 4x + 7, write down the gradient.
real-life-graphs-7	Algebra	Real-Life Graphs	visual dimensions may not match answer	What does the vertical axis usually show on a distance-time graph?
conversion-graphs-1	Algebra	Conversion Graphs	visual dimensions may not match answer	A conversion graph shows 1 mile is about 1.6 km. About how many km is 5 miles?
conversion-graphs-2	Algebra	Conversion Graphs	visual dimensions may not match answer	If 10 pounds is about 4.5 kg, what is 20 pounds about?
conversion-graphs-7	Algebra	Conversion Graphs	visual dimensions may not match answer	Which is most likely for a simple conversion graph?
conversion-graphs-typed-1	Algebra	Conversion Graphs	visual dimensions may not match answer	Using 1 mile is about 1.6 km, estimate 10 miles in km.
conversion-graphs-typed-2	Algebra	Conversion Graphs	visual dimensions may not match answer	If 5 kg is about 11 pounds, estimate 10 kg in pounds.
direct-proportion-3	Ratio and Proportion	Direct Proportion	explanation does not mention the answer	5 tickets cost £30. How much do 10 tickets cost?
perimeter-rectangles-compound-3	Geometry and Measures	Perimeter of Rectangles and Compound Shapes	visual dimensions may not match answer	A square has side length 7 cm. Find its perimeter.
area-parallelograms-8	Geometry and Measures	Area of Parallelograms	visual dimensions may not match answer	Which measurement should be used for the height of a parallelogram?
scales-reading-measures-3	Geometry and Measures	Scales and Reading Measures	visual dimensions may not match answer	A weighing scale shows a pointer halfway between 2 kg and 3 kg. What is the mass?
scales-reading-measures-4	Geometry and Measures	Scales and Reading Measures	visual dimensions may not match answer	A ruler has 10 small divisions in 1 cm. What is each small division?
scales-reading-measures-6	Geometry and Measures	Scales and Reading Measures	visual dimensions may not match answer	A measuring jug has marks every 50 ml. The liquid reaches the third mark after 0 ml. What is the reading?
scales-reading-measures-7	Geometry and Measures	Scales and Reading Measures	visual dimensions may not match answer	A thermometer mark is two small divisions above 18 degrees C. Each division is 1 degree C. What is the reading?
types-of-angles-1	Geometry and Measures	Types of Angles	visual dimensions may not match answer	The diagram shows an angle of 35°. What type of angle is it?
types-of-angles-2	Geometry and Measures	Types of Angles	visual dimensions may not match answer	The diagram shows angle ABC marked with a square corner. What type of angle is it?
types-of-angles-3	Geometry and Measures	Types of Angles	visual dimensions may not match answer	The diagram shows an angle of 125°. What type of angle is it?
types-of-angles-5	Geometry and Measures	Types of Angles	visual dimensions may not match answer	What type of angle is 240°?
types-of-angles-typed-1	Geometry and Measures	Types of Angles	visual dimensions may not match answer	The diagram shows an angle of 72°. What type of angle is it?
angles-straight-point-2	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	The diagram shows angles around point O. The known angles are 140° and 90°. Find x.
angles-straight-point-3	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Find the size of angle x.
angles-straight-point-4	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Find the size of angle x.
angles-straight-point-5	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Maya says angles on a straight line add to 360°. Which statement is correct?
angles-straight-point-6	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	The diagram shows a full turn around point O. What do angles around a point add to?
angles-straight-point-7	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Find the size of angle x.
angles-straight-point-9	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	The diagram shows two parallel lines cut by a transversal. Find x.
angles-straight-point-10	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Find the value of x.
angles-straight-point-typed-2	Geometry and Measures	Angles on a Straight Line and Around a Point	visual dimensions may not match answer	Find the value of x.
angles-triangles-1	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	In triangle ABC, two angles are 50° and 60°. Find x.
angles-triangles-3	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	Which angle fact is needed to find a missing angle in a triangle?
angles-triangles-4	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	Find the value of x.
angles-triangles-5	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	The diagram shows an equilateral triangle. What is the size of each angle?
angles-triangles-6	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	In triangle ABC, two angles are 72° and 48°. Find the missing angle x.
angles-triangles-8	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	The two marked base angles in a triangle are equal. What type of triangle is shown?
angles-triangles-typed-1	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	In triangle ABC, two angles are 44° and 81°. Find x.
angles-triangles-typed-2	Geometry and Measures	Angles in Triangles	visual dimensions may not match answer	Find the value of x.
angles-quadrilaterals-1	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	In quadrilateral ABCD, three angles are 90°, 80° and 100°. Find x.
angles-quadrilaterals-2	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	Which angle fact is needed to find a missing angle in any quadrilateral?
angles-quadrilaterals-3	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	The diagram shows a rectangle. What is the size of each interior angle?
angles-quadrilaterals-4	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	Find the value of x.
angles-quadrilaterals-5	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	Show that the four angles in the square add to 360°. Which calculation is correct?
angles-quadrilaterals-7	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	A quadrilateral has three angles of 85°, 95° and 100°. Find the fourth angle.
angles-quadrilaterals-typed-1	Geometry and Measures	Angles in Quadrilaterals	visual dimensions may not match answer	A quadrilateral has angles 110°, 75°, 85° and x. Find x.
properties-2d-shapes-1	Geometry and Measures	Properties of 2D Shapes	explanation does not mention the answer, visual dimensions may not match answer	How many lines of symmetry does a square have?
properties-2d-shapes-5	Geometry and Measures	Properties of 2D Shapes	visual dimensions may not match answer	How many sides does a pentagon have?
properties-2d-shapes-6	Geometry and Measures	Properties of 2D Shapes	visual dimensions may not match answer	Which quadrilateral has four equal sides and four right angles?
properties-2d-shapes-7	Geometry and Measures	Properties of 2D Shapes	visual dimensions may not match answer	Which quadrilateral has opposite sides equal and four right angles?
properties-2d-shapes-8	Geometry and Measures	Properties of 2D Shapes	visual dimensions may not match answer	A regular hexagon has how many sides?
area-circle-2	Geometry and Measures	Area of a Circle	visual dimensions may not match answer	Find the area of a circle with radius 3 m to 1 decimal place.
area-compound-shapes-8	Geometry and Measures	Area of Compound Shapes	visual dimensions may not match answer	What is a good first step when finding the area of a compound shape?
volume-cuboids-8	Geometry and Measures	Volume of Cuboids	visual dimensions may not match answer	What unit is suitable for the volume of a cuboid measured in centimetres?

Geometry visual coverage by subtopic

Subtopic	With visuals	Likely needed	Coverage
Perimeter of Rectangles and Compound Shapes	19	46	41%
Area of Rectangles	20	47	43%
Area of Parallelograms	20	47	43%
Area of Triangles	20	47	43%
Area of Trapezia	20	47	43%
Metric Unit Conversions	0	0	Not required
Converting Units of Length	0	0	Not required
Converting Units of Area	0	0	Not required
Converting Units of Volume	0	0	Not required
Scales and Reading Measures	15	46	33%
Types of Angles	13	0	Not required
Angles on a Straight Line and Around a Point	19	47	40%
Angles in Triangles	18	47	38%
Angles in Quadrilaterals	17	47	36%
Properties of 2D Shapes	14	47	30%
Circumference of a Circle	20	47	43%
Area of a Circle	20	46	43%
Area of Compound Shapes	17	47	36%
Volume of Cuboids	17	47	36%
Surface Area of Cuboids	20	47	43%

Low Geometry visual coverage: Perimeter of Rectangles and Compound Shapes, Area of Rectangles, Area of Parallelograms, Area of Triangles, Area of Trapezia, Scales and Reading Measures, Angles on a Straight Line and Around a Point, Angles in Triangles, Angles in Quadrilaterals, Properties of 2D Shapes, Circumference of a Circle, Area of a Circle, Area of Compound Shapes, Volume of Cuboids, Surface Area of Cuboids

Algebra graph and coordinate visual coverage

Subtopic	With visuals	Likely needed	Coverage
Coordinates	15	37	41%
Plotting Coordinates	28	36	78%
Plotting Linear Graphs	28	38	74%
Interpreting Gradient and Y-Intercept	14	38	37%
Real-Life Graphs	24	38	63%
Conversion Graphs	30	36	83%

Low Algebra graph visual coverage: Coordinates, Interpreting Gradient and Y-Intercept, Real-Life Graphs

Statistics and Probability visual coverage

Subtopic	With visuals	Likely needed	Coverage
Mean from a Frequency Table	28	69	41%
Bar Charts	19	60	32%
Pictograms	17	55	31%
Two-Way Tables	65	105	62%
Probability Scale	17	49	35%
Listing Outcomes	13	57	23%
Sample Space Diagrams	14	81	17%
Scatter Graphs	23	82	28%

Low Statistics visual coverage: Mean from a Frequency Table, Bar Charts, Pictograms, Two-Way Tables, Probability Scale, Listing Outcomes, Sample Space Diagrams, Scatter Graphs

Transformations and Constructions visual coverage

Subtopic	With visuals	Likely needed	Coverage
Reflections	13	21	62%
Rotations	11	21	52%
Translations	10	21	48%
Enlargements	11	21	52%
Plans and Elevations	16	21	76%
Drawing Triangles Accurately	16	56	29%
Constructing Perpendicular Bisectors	12	56	21%
Constructing Angle Bisectors	11	57	19%
Loci	15	57	26%
Pythagoras’ Theorem	0	0	Not required

Low Transformations visual coverage: Reflections, Rotations, Translations, Enlargements, Drawing Triangles Accurately, Constructing Perpendicular Bisectors, Constructing Angle Bisectors, Loci

Questions by subtopic

Topic	Subtopic	Practice	Exam-style	Fluency	Reasoning	Challenge	Misconception	Total	Lesson	Quiz data	Bank
Number	Negative Numbers	65	23	38	4	15	8	88	Yes	Yes	Yes
Number	Factors, Multiples and Primes	18	4	12	4	1	1	22	Yes	Yes	Yes
Number	Rounding to Significant Figures	69	20	39	4	17	9	89	Yes	Yes	Yes
Number	BIDMAS	69	20	39	4	17	9	89	Yes	Yes	Yes
Number	Estimation	69	20	39	4	17	9	89	Yes	Yes	Yes
Number	Fractions, Decimals and Percentages	18	4	12	4	1	1	22	Yes	Yes	Yes
Algebra	Algebra Vocabulary	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Substitution	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Collecting Like Terms	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Forming Expressions	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Solving One-Step Equations	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Solving Two-Step Equations	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Sequences	31	8	21	4	4	2	39	Yes	Yes	Yes
Algebra	Finding the Nth Term	29	8	20	4	4	1	37	Yes	Yes	Yes
Algebra	Using the Nth Term	30	8	21	4	4	1	38	Yes	Yes	Yes
Algebra	Coordinates	29	8	20	4	4	1	37	Yes	Yes	Yes
Algebra	Plotting Coordinates	28	8	19	4	4	1	36	Yes	Yes	Yes
Algebra	Plotting Linear Graphs	30	8	21	4	4	1	38	Yes	Yes	Yes
Algebra	Interpreting Gradient and Y-Intercept	30	8	21	4	4	1	38	Yes	Yes	Yes
Algebra	Real-Life Graphs	30	8	21	4	4	1	38	Yes	Yes	Yes
Algebra	Conversion Graphs	28	8	19	4	4	1	36	Yes	Yes	Yes
Ratio and Proportion	Simplifying Ratios	101	40	83	4	13	1	141	Yes	Yes	Yes
Ratio and Proportion	Equivalent Ratios	18	4	12	4	1	1	22	Yes	Yes	Yes
Ratio and Proportion	Sharing into a Ratio	102	40	84	4	13	1	142	Yes	Yes	Yes
Ratio and Proportion	Finding One Part of a Ratio	88	34	72	4	11	1	122	Yes	Yes	Yes
Ratio and Proportion	Finding the Whole from a Given Ratio Part	74	28	60	4	9	1	102	Yes	Yes	Yes
Ratio and Proportion	Percentage of an Amount	18	4	12	4	1	1	22	Yes	Yes	Yes
Ratio and Proportion	Percentage Increase and Decrease	18	4	12	4	1	1	22	Yes	Yes	Yes
Ratio and Proportion	Reverse Percentages	18	4	12	4	1	1	22	Yes	Yes	Yes
Ratio and Proportion	Best Buys	67	25	54	4	8	1	92	Yes	Yes	Yes
Ratio and Proportion	Direct Proportion	87	34	71	4	11	1	121	Yes	Yes	Yes
Geometry and Measures	Perimeter of Rectangles and Compound Shapes	36	10	21	4	10	1	46	Yes	Yes	Yes
Geometry and Measures	Area of Rectangles	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Area of Parallelograms	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Area of Triangles	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Area of Trapezia	36	11	18	4	13	1	47	Yes	Yes	Yes
Geometry and Measures	Metric Unit Conversions	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Converting Units of Length	32	13	18	4	9	1	45	Yes	Yes	Yes
Geometry and Measures	Converting Units of Area	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Converting Units of Volume	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Scales and Reading Measures	33	13	19	4	9	1	46	Yes	Yes	Yes
Geometry and Measures	Types of Angles	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Angles on a Straight Line and Around a Point	37	10	22	4	10	1	47	Yes	Yes	Yes
Geometry and Measures	Angles in Triangles	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Angles in Quadrilaterals	37	10	22	4	10	1	47	Yes	Yes	Yes
Geometry and Measures	Properties of 2D Shapes	35	12	23	4	7	1	47	Yes	Yes	Yes
Geometry and Measures	Circumference of a Circle	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Area of a Circle	33	13	19	4	9	1	46	Yes	Yes	Yes
Geometry and Measures	Area of Compound Shapes	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Volume of Cuboids	34	13	20	4	9	1	47	Yes	Yes	Yes
Geometry and Measures	Surface Area of Cuboids	34	13	20	4	9	1	47	Yes	Yes	Yes
Transformations and Constructions	Reflections	17	4	11	4	1	1	21	Yes	Yes	Yes
Transformations and Constructions	Rotations	17	4	11	4	1	1	21	Yes	Yes	Yes
Transformations and Constructions	Translations	17	4	11	4	0	2	21	Yes	Yes	Yes
Transformations and Constructions	Enlargements	17	4	11	4	1	1	21	Yes	Yes	Yes
Transformations and Constructions	Plans and Elevations	17	4	11	4	1	1	21	Yes	Yes	Yes
Transformations and Constructions	Drawing Triangles Accurately	40	16	31	4	4	1	56	Yes	Yes	Yes
Transformations and Constructions	Constructing Perpendicular Bisectors	36	20	27	4	4	1	56	Yes	Yes	Yes
Transformations and Constructions	Constructing Angle Bisectors	34	23	28	4	1	1	57	Yes	Yes	Yes
Transformations and Constructions	Loci	36	21	23	4	8	1	57	Yes	Yes	Yes
Transformations and Constructions	Pythagoras’ Theorem	0	0	0	0	0	0	0	Yes	Yes	No
Statistics and Probability	Averages and Range	55	12	38	4	7	5	67	Yes	Yes	Yes
Statistics and Probability	Mean from a Frequency Table	57	12	40	7	5	5	69	Yes	Yes	Yes
Statistics and Probability	Bar Charts	48	12	34	4	5	5	60	Yes	Yes	Yes
Statistics and Probability	Pictograms	45	10	33	4	4	4	55	Yes	Yes	Yes
Statistics and Probability	Two-Way Tables	81	24	55	4	11	11	105	Yes	Yes	Yes
Statistics and Probability	Pie Charts	40	10	30	0	5	5	50	Yes	Yes	Yes
Statistics and Probability	Frequency Polygons	37	8	29	0	4	4	45	Yes	Yes	Yes
Statistics and Probability	Data and Sampling	40	10	28	0	7	5	50	Yes	Yes	Yes
Statistics and Probability	Basic Probability	164	76	86	4	54	20	240	Yes	Yes	Yes
Statistics and Probability	Probability Scale	42	7	33	4	1	4	49	Yes	Yes	Yes
Statistics and Probability	Listing Outcomes	41	16	26	4	8	3	57	Yes	Yes	Yes
Statistics and Probability	Sample Space Diagrams	64	17	38	4	19	3	81	Yes	Yes	Yes
Statistics and Probability	Venn Diagrams	28	12	16	0	11	1	40	Yes	No	Yes
Statistics and Probability	Frequency Trees	28	12	16	0	6	6	40	Yes	No	Yes
Statistics and Probability	Independent Tree Diagrams	28	12	16	0	6	6	40	Yes	No	Yes
Statistics and Probability	Scatter Graphs	67	15	51	4	6	6	82	Yes	Yes	Yes

Duplicate and coverage warnings

Duplicate question IDs: 0

Duplicate topic/subtopic keys: 0

Subtopics below 10 practice questions: 1

Subtopics below depth target: 7

Low-complexity heavy subtopics: 0

Missing lesson/quiz/bank coverage warnings: 4

Metadata warnings

visual likely needed1150

visual label may overlap: perpendicular height3

incomplete angle data31

missing conventional notation18

right-angle rendering issue6

typed answer has no acceptedAnswers1

Depth target warnings

Target: 20 total questions, 10 fluency, 4 reasoning, 4 exam-style, and at least 2 misconception/challenge questions per subtopic.

Topic	Subtopic	Total	Fluency	Exam-style	Misconception + challenge	Issue
Transformations and Constructions	Pythagoras’ Theorem	0	0	0	0	total below 20, fluency below 10, reasoning below 4, exam-style below 4, misconception/challenge below 2
Statistics and Probability	Pie Charts	50	30	10	10	reasoning below 4
Statistics and Probability	Frequency Polygons	45	29	8	8	reasoning below 4
Statistics and Probability	Data and Sampling	50	28	10	12	reasoning below 4
Statistics and Probability	Venn Diagrams	40	16	12	12	reasoning below 4
Statistics and Probability	Frequency Trees	40	16	12	12	reasoning below 4
Statistics and Probability	Independent Tree Diagrams	40	16	12	12	reasoning below 4