Syllabus Edition

First teaching 2021

Last exams 2024

|

Geometry Toolkit (CIE IGCSE Maths: Extended)

Exam Questions

26 mins18 questions
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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2a
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1 mark

Complete each statement.

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

2b
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1 mark

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

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3
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1 mark

Change 1 m3 to cm3.

...................................................... cm3

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4
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2 marks

Change 32.4 m3 into cm3.

................ cm3

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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

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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7
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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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1
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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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2
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2 marks

Change 90 km/h to m/s.

.......................................... m/s

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3
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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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4
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1 mark

Change 457000 cm2 into m2.
 

 ............................................. m2

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5
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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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1
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1 mark

Chai says that 8 cm2 is the same as 80 mm2.

Explain why Chai is wrong.

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2
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4 marks

The lake behind a dam has an area of 55 hectares.
When the gates in the dam are open, water flows out at a rate of 75 000 litres per second.

i)
Show that 90 million litres of water flows out in 20 minutes.
 
 

[1]

ii)
Beneath the surface, the lake has vertical sides.

Calculate the drop in the water level of the lake when the gates are open for 20 minutes.
Give your answer in centimetres.
[1 hectare = 104 m2, 1000 litres = 1 m3]
 
 

.......................................... cm [3]

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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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4
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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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5
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1 mark

A square has an area of 0.25 square metres.

Circle the length, in centimetres, of one side of the square.

0.5 cm  5 cm  50 cm    500 cm

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6
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1 mark

Circle the volume that is the same as 15 space cm cubed

15 space 000 space mm cubed 1.5 space mm cubed 0.0015 space mm cubed 150 space mm cubed

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