Geometry Toolkit (AQA GCSE Maths)

Exam Questions

54 mins25 questions
1
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2 marks

The diagram shows a solid prism.

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On the centimetre square grid, draw the side elevation of the solid prism from the direction shown by the arrow.

q1-1-4-1-easy-edexcel-gcse-maths

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2a
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2 marks

The diagram shows a solid prism.

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On the grid below, draw the front elevation of the prism from the direction of the arrow.

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2b
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2 marks

On the grid below, draw the plan of the prism.

q2-2-4-1-easy-edexcel-gcse-maths

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3a
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2 marks

The diagram shows a solid prism made from centimetre cubes.

q3a-1-4-1-easy-edexcel-gcse-maths

On the centimetre square grid, draw the front elevation of the solid prism from the direction shown by the arrow.

q3a-2-4-1-easy-edexcel-gcse-maths

3b
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2 marks

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4
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2 marks

The diagram represents a solid made from seven centimetre cubes.

q4-4-1-easy-edexcel-gcse-maths
On the centimetre grid below, draw a plan of the solid.

q4-1-4-1-easy-edexcel-gcse-maths

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5
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1 mark

Circle the solid that has 7 vertices.

hexagonal
prism
  hexagon-based
pyramid
pentagonal
prism
pentagon-based
pyramid

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6
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1 mark

Here is a circle.

q1-paper-2h-june-2018-aqa-gcse-maths

Circle the word that describes the shaded part.

segment chord sector arc

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7a
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1 mark

A solid shape is drawn on isometric paper.

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On the centimetre grid, draw the elevation of the shape from A.

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7b
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1 mark

On the centimetre grid, draw a plan of the shape.

q10b-paper-3h-nov-2021-aqa-gcse-maths

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8
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1 mark

The diagram shows a kite, ABCD.
AFE and CEF are equilateral triangles.

q8-paper5-nov2019-ocr-gcse-maths

Write down a mathematical name for quadrilateral AFCE.

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9
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2 marks

The diagram shows a circle, centre O.

q1-paper5-nov2017-ocr-gcse-maths

Write down the mathematical name of

i)
line A,

[1]

ii)
shaded region B.

[1]

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10a
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1 mark

Complete each statement.

A quadrilateral with only one pair of parallel sides is called a ............................................... . 

10b
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1 mark

An angle greater than 90° but less than 180° is called ............................................... . 

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11a
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1 mark

cie-igcse-2018-march-p2-5
The diagram shows a regular pentagon and a kite.
Complete the following statements.

The regular pentagon has ................................... lines of symmetry.

11b
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1 mark

The kite has rotational symmetry of order ................................... .

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1a
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2 marks

Here are the plan and front elevation of a solid shape.

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On the grid below, draw the side elevation of the solid shape.

q1-2-4-1-medium-edexcel-gcse-maths

1b
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2 marks

In the space below, draw a sketch of the solid shape.

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2
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4 marks

The diagram shows a prism with a cross section in the shape of a trapezium.

q2a-1-4-1-medium-edexcel-gcse-maths

On the centimetre grid below, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.

q2a-2-4-1-medium-edexcel-gcse-maths

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3a
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2 marks

Here is a solid square-based pyramid, V A B C D.

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The base of the pyramid is a square of side 6 cm.
The height of the pyramid is 4 cm.
M is the midpoint of B C and V M = 5 cm.

Draw an accurate front elevation of the pyramid from the direction of the arrow.

q3a-2-4-1-medium-edexcel-gcse-maths

3b
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4 marks

Work out the total surface area of the pyramid.

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4
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3 marks

Here is a sketch of a quadrilateral.

All lengths are in centimetres.

q15-paper-1h-nov-2019-aqa-gcse-maths

Tick one box for each statement.

  True May be true Not true
The quadrilateral is a rectangle      
The quadrilateral is a parallelogram      
The quadrilateral is a rhombus      
The quadrilateral is a kite      

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5
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1 mark

Tick all the statements that are true for any rhombus.

begin mathsize 26px style square end style  The diagonals are lines of symmetry

square  The diagonals bisect each other

square  The diagonals are perpendicular

square  The diagonals are equal in length

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6a
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1 mark

This shape is made from two triangles and four congruent parallelograms.

q8-paper3h-june2017-aqa-gcse-maths

For each statement, tick the correct box.

The triangles are equilateral.

square Must be true
square Could be true
square Must be false

6b
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1 mark

The triangles are congruent.

square Must be true
square Could be true
square Must be false

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7
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1 mark

cie-igcse-2020-mary-jun-p2-tz2-q1

Write down the order of rotational symmetry of the diagram.

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8
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1 mark

cie-igcse-2019-may-jun-p2-tz3-q13a

The diagram shows a pyramid with a square base.
The triangular faces are congruent isosceles triangles.

Write down the number of planes of symmetry of this pyramid.

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9
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1 mark

7nbfuCQj_cie-igcse-2018-may-jun-3-p4-q6b


The diagram shows a cuboid.
A B = 8 cm, B C = 4 cm and C R = 5 cm.

Write down the number of planes of symmetry of this cuboid.

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1
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2 marks

Here are the front elevation and the plan of a prism.

q1a-1-hard-edexcel-gcse-maths

On the grid below, draw the side elevation of the prism.

q1a-2-hard-edexcel-gcse-maths

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2
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2 marks

The plan, front elevation and side elevation of a solid prism are drawn on a centimetre grid.

q2-hard-edexcel-gcse-maths

In the space below, draw a sketch of the solid prism.
Write the dimensions of the prism on your sketch.

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3
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2 marks

The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

q3-hard-edexcel-gcse-maths

In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.

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4
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1 mark

Here is a cube with edge length space x spacecm

One diagonal is shown.

q16-paper-2h-nov-2021-aqa-gcse-maths

The total length, in centimetres, of the edges of the cube is a multiple of 18

Circle the correct statement.

x is a
whole number
x is not a
whole number
x might be a
whole number

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5
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1 mark

The cross section of a prism has n sides.

Circle the expression for the number of edges of the prism.

2 n 3 n n space plus space 2 2 n space plus space 3

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