Syllabus Edition

First teaching 2023

First exams 2025

|

Geometry Toolkit (CIE IGCSE Maths: Core)

Exam Questions

2 hours56 questions
1
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1 mark

qp3-0580-12-paper-1-nov-2020-cie-igcse-maths

Write down the order of rotational symmetry of this regular octagon.

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2
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2 marks

Write down the mathematical name for this

i)
quadrilateral,
qp3ai-0580-32-paper-3-nov-2020-cie-igcse-maths
[1]
ii)
solid.
qp3aii-0580-32-paper-3-nov-2020-cie-igcse-maths
[1]

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3a
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3 marks

qp4a-0580-11-paper-1-may-2020-cie-igcse-maths

On each shape draw all the lines of symmetry.

3b
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1 mark

qp4b-0580-11-paper-1-may-2020-cie-igcse-maths

Write down the order of rotational symmetry of this shape.

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4
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1 mark

qp9-0580-12-paper-1-may-2020-cie-igcse-maths

Write down the order of rotational symmetry of the diagram.

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5
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2 marks

The diagram shows a regular polygon.

qp7a-0580-33-paper-3-may-2020-cie-igcse-maths

i)
Write down the mathematical name for this shape.
[1]
ii)
Write down the order of rotational symmetry of this shape.
[1]

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6
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2 marks

qp3a-0580-32-paper-3-march-2020-cie-igcse-maths

i)
Write down the mathematical name for this type of angle.
[1]

ii)
Measure this angle.
[1]

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7
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1 mark

qp2-0580-11-paper-1-oct-nov-2019-cie-igcse-maths

Write down the order of rotational symmetry of this regular pentagon.

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8a
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1 mark

qp21-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

The diagram shows some quadrilaterals.

Complete the statements.

Quadrilateral ................. is a rhombus.

8b
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1 mark

Quadrilateral A is a ..........................................

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9
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2 marks

The diagram shows the nets of two solids.

Write down, under each net, the mathematical name for the solid.

q14b-058012-mayjune2019-cie-igcse-maths-core

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10
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1 mark

Three quadrilaterals are shown on a 1 cm2 grid.

q2-058033-mayjune2019-cie-igcse-maths-core

Write down the mathematical name of the shaded quadrilateral.

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11
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1 mark

q3-058012-march2019-cie-igcse-maths-core

Complete the statement.

Angle ...................... is a reflex angle.

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12a
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1 mark

q7-058012-march2018-cie-igcse-maths-core

The diagram shows a regular pentagon and a kite.

Complete the following statements.

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

12b
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1 mark

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

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13a
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1 mark

In the space below, draw a circle with diameter 7cm.

13b
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1 mark

On your diagram, draw a chord.

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14
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2 marks

qp-5a-0580-0980-w20-oct-nov-2020-cie-igcse-maths

The diagram shows a rhombus

On the diagram, draw all the lines of symmetry

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15
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1 mark

Write down the mathematical name of this type of angle.

qp1-0580-13-paper-1-oct-nov-2019-cie-igcse-maths

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16
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2 marks

qp3a-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

i)
Measure the size of angle x.
[1]

ii)
Write down the mathematical name of this type of angle.
[1]

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1a
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1 mark

Write down the mathematical name for an angle which is less than 90°.

1b
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1 mark

Write down the mathematical name for a polygon with 5 sides.

1c
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1 mark

Write down the mathematical name for a quadrilateral with exactly one pair of parallel sides.

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2a
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1 mark

qp2a-0580-32-paper-3-nov-2020-cie-igcse-maths

Measure the length of this line in millimetres.

........................................... mm 

2b
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2 marks

qp2b-0580-32-paper-3-nov-2020-cie-igcse-maths

i)
Measure the size of angle x.

[1]

ii)
Write down the mathematical name of this type of angle.
[1]

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3
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2 marks

Write down the order of rotational symmetry of each shape.

qp4-0580-13-paper-1-nov-2020-cie-igcse-maths

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4
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1 mark

The grid shows a point E and four quadrilaterals, A comma space B comma space C and D.

qp2-0580-31-paper-3-may-2020-cie-igcse-maths

Write down the mathematical name of shape A.

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5a
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1 mark

qp2a-0580-12-paper-1-may-2020-cie-igcse-maths

Write down the mathematical name for this type of angle.

5b
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2 marks

qp2b-0580-12-paper-1-may-2020-cie-igcse-maths

A spaceand B lie on a circle, centre O.

i)
Write down the mathematical name for line A B.
[1]
ii)
O A space equals space 8 space cm
Write down the length of the diameter of this circle.
............................................ cm [1]

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6
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3 marks

qp6a-0580-32-paper-3-may-2020-cie-igcse-maths

The diagram shows a cuboid.

On the 1 cm2 grid, complete the net of the cuboid.
One face has been drawn for you.

qp6a-1-0580-32-paper-3-may-2020-cie-igcse-maths

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7
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1 mark

Write down the mathematical name of a quadrilateral that has

  • rotational symmetry of order 1

and

  • only one line of symmetry.

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8a
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1 mark

qp2-0580-12-paper-1-march-2020-cie-igcse-maths

Measure the length of the line A B in millimetres.

.......................................... mm 

8b
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2 marks

A B is the diameter of a circle.

Draw this circle.

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9a
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1 mark

qp6-0580-01-paper-1-specimen-2020-cie-igcse-maths

Write down the order of rotational symmetry of the shape.

9b
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1 mark

Draw all the lines of symmetry on the shape.

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10
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1 mark

The diagram shows the net of a triangular prism on a 1cm2 grid.

qp3-0580-31-paper-3-may-2020-cie-igcse-maths

Write down the mathematical name for the type of triangle shown on the grid.

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11
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2 marks

qp14b-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

Complete the description of this pattern.

The pattern has ................ lines of symmetry

and order of rotational symmetry ................

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12a
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3 marks

On each shape, draw all the lines of symmetry.

i)
q19i-058011-mayjune2019-cie-igcse-maths-core
[1]

ii)

q19ii-058011-mayjune2019-cie-igcse-maths-core

[2]

12b
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1 mark

Write down the name of a quadrilateral that has

  • rotational symmetry of order 2

and

  •  exactly two lines of symmetry.

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13a
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1 mark

Complete each statement.

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

13b
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1 mark

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

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14
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2 marks

On the 1cm2 grid, complete the net of this box.

q22b-058013-mayjune2019-cie-igcse-maths-core

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15
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1 mark

The diagram shows a net of a solid.

q7-058012-march2019-cie-igcse-maths-core

Write down the mathematical name of the solid.

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16
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1 mark

q23-058012-march2019-cie-igcse-maths-core

The diagram shows a quadrilateral on a 1 cm2 grid.

Write down the mathematical name of this quadrilateral.

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1
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1 mark

q5b-0580-0980-w20-oct-nov-2020-cie-igcse-maths

Shade two squares so that the diagram has rotational symmetry of order 2.

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2
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3 marks

A cuboid measures 6 cm by 3 cm by 1 cm.

i)
On the 1 cm2 grid, draw an accurate net of this cuboid.
One face has been drawn for you.
qp3di-0580-32-paper-3-nov-2020-cie-igcse-maths
[3]
ii)
Calculate the surface area of the cuboid.
.......................................... cm2 [2]

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3a
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3 marks

A cuboid has length 5 cm, width 4 cm and height 3 cm.

On the 1 cm2 grid, complete the net of the cuboid.
One face has been drawn for you.

qp12a-0580-13-paper-1-nov-2020-cie-igcse-maths

3b
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2 marks

Find the volume of the cuboid.

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

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4
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3 marks

The diagram shows the net of a solid on a 1cm2 grid.

qp3b-0580-33-paper-3-may-2020-cie-igcse-maths

i)
Write down the mathematical name for the solid.
[1]
ii)
Work out the volume of the solid.
.......................................... cm3 [2]

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5
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3 marks

A cuboid has length 3 cm, width 2 cm and height 1cm.

On the 1 cm2 grid, draw a net of the cuboid.

qp7-0580-12-paper-1-march-2020-cie-igcse-maths

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6
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3 marks

A cuboid measures 6cm by 3cm by 2 cm.
On this 1cm2 grid, draw a net of the cuboid.

qp5-0580-01-paper-1-specimen-2020-cie-igcse-maths

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7
Sme Calculator
1 mark

qp14a-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

Shade two more small squares to give a pattern with exactly one line of symmetry.

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8a
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1 mark

qp20-0580-13-paper-1-oct-nov-2019-cie-igcse-maths

Write down the co-ordinates of point B.

8b
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1 mark

The quadrilateral A B C D hasspace x equals 4  as a line of symmetry.

On the grid, plot point D.

8c
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1 mark

Write down the mathematical name of quadrilateral A B C D.

8d
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1 mark

Write down the order of rotational symmetry of quadrilateral A B C D.

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9
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1 mark

Shade two more squares so that this grid has rotational symmetry of order 4.

q7b-058012-mayjune2019-cie-igcse-maths-core

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10
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2 marks

q1b-058032-march2018-cie-igcse-maths-core

The diagram shows a net of a cube.

i)
The square labelled B is the base.

Write the letter T in the square that is the top of the cube.

[1]

ii)
On the grid, draw a different net of this cube.
[1]

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