Symmetry & Shapes (OCR GCSE Maths: Higher)

Exam Questions

54 mins25 questions
1
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2a
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2b
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3a
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3b
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4
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5
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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.

[1]

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6
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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.

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7
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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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8
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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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9a
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1 mark

A solid shape is drawn on isometric paper.

q10-paper-3h-nov-2021-aqa-gcse-maths

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

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[1]

9b
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On the centimetre grid, draw a plan of the shape.

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

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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 ............................................... .    

[1]

10b
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An angle greater than 90° but less than 180° is called ............................................... .   

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11a
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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.

[1]

11b
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The kite has rotational symmetry of order ................................... .

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1a
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1b
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2
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3a
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3b
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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

 

 

 

[3]

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5
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1 mark

Tick all the statements that are true for any rhombus.

square  The diagonals are lines of symmetry

square  The diagonals bisect each other

square  The diagonals are perpendicular

size 26px square  The diagonals are equal in length

[1]

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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

[1]

6b
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1 mark

The triangles are congruent.

begin mathsize 28px style square end style

Must be true

begin mathsize 28px style square end style

Could be true

begin mathsize 28px style square end style

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.  

[1]

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9
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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.

[1]

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1
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2
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3
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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

[1]

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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

[1]

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