Symmetry & Shapes (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

18 mins13 questions
1
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1 mark

A quadrilateral has

  • exactly 2 lines of symmetry

and

  • rotational symmetry of order 2.

Write down the mathematical name of the quadrilateral.

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2
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1 mark

Write down the number of lines of symmetry of a kite.

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3a
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1 mark

Complete each statement.

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

3b
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1 mark

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

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4
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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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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.

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6
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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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1a
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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.

1b
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1 mark

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

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2
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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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3
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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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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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1
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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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2
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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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3
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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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