IGCSEMaths: CoreCIEExam QuestionsLengths, Areas & VolumesArea & Perimeter

Syllabus Edition

First teaching 2021

Last exams 2024

|

Area & Perimeter (CIE IGCSE Maths: Core)

Exam Questions

2 hours37 questions
Easy
Medium
Hard
1
Sme Calculator2 marks

The diagram shows four shapes space A comma space B comma space C spaceand D and a point P on a 1cm2 grid.

q5-058032-mayjune2019-cie-igcse-maths-core-1

Find

i)
the perimeter of shape A,
............................................... cm [1]

ii)
the area of shape A.
..............................................cm2 [1]

How did you do?

Did this page help you?

2
Sme Calculator2 marks

Three quadrilaterals are shown on a 1 cm2 grid.

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

For the shaded quadrilateral

i)
measure the perimeter,
............................ cm [1]
ii)
work out the area.
............................ cm2 [1]

How did you do?

Did this page help you?

3
Sme Calculator1 mark

Shapes A comma space B and C are shown on the 1cm2 grid.

q2a-058033-octnov2018-cie-igcse-maths-core

Find the area of shape B.

..............................cm2 

How did you do?

Did this page help you?

4
Sme Calculator2 marks

Work out the area of the shape.

q22a-058013-mayjune2018-cie-igcse-maths-core

.................................cm2 

How did you do?

Did this page help you?

5
Sme Calculator1 mark

q7-058032-march2018-cie-igcse-maths-core

The diagram shows four shapes, A comma space B comma space C and D, drawn on a 1 cm2 grid.

Find the area of shape B.

................................. cm2 

How did you do?

Did this page help you?

6
Sme Calculator1 mark

The area of a square is 64 cm2.

Work out the length of one side of the square.

............................................ cm 

How did you do?

Did this page help you?

7
Sme Calculator2 marks

qp14-0580-12-paper-1-march-2020-cie-igcse-maths

The diagram shows a right-angled triangle.

Calculate the area.

.......................................... cm2 

How did you do?

Did this page help you?

8
Sme Calculator4 marks

Soraya makes rectangular flags.

qp7a-0580-31-paper-3-oct-nov-2019-cie-igcse-maths

i)
On the rectangle, draw the lines of symmetry.
[2]
ii)
Each flag measures 1.2m by 1.8m.
Calculate the area of one flag.
............................................... m2 [2]

How did you do?

Did this page help you?

9
Sme Calculator4 marks

The diagram shows a rectangle with length 7a and width 2a.

q5a-058031-mayjune2019-cie-igcse-maths-core

Write an expression, in its simplest form, for

i)
the perimeter,
[2]
ii)
the area.
[2]

How did you do?

Did this page help you?

10
Sme Calculator2 marks

q12-058012-mayjune2019-cie-igcse-maths-core

Calculate the area of this triangle.

........................................ cm2 

How did you do?

Did this page help you?

11
Sme Calculator3 marks

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

The diagram shows a quadrilateral on a 1 cm2 grid.

Work out the area of this quadrilateral.
Give the units of your answer.

How did you do?

Did this page help you?

12
Sme Calculator3 marks

q2-058032-mayjune2018-cie-igcse-maths-coreComplete this statement with a fraction in its simplest form.

The area of quadrilateral A is .......................... of the area of the shaded quadrilateral.

How did you do?

Did this page help you?

1
Sme Calculator3 marks

qp5c-0580-32-paper-3-may-2020-cie-igcse-maths

Find an expression for the perimeter of this triangle.
Give your answer in its simplest form.

How did you do?

Did this page help you?

2
Sme Calculator3 marks

The length, l, of a rectangle is 3 cm longer than the width, w.
The perimeter of the rectangle is 26 cm.

Calculate the length, l, and the width, w.

l space equals space.................................... space c m space w space equals space................................... space c m space 

How did you do?

Did this page help you?

3
Sme Calculator3 marks

The diagram shows the plan of part of Rachel’s garden.

qp4a-0580-33-paper-3-nov-2020-cie-igcse-maths

Calculate the area.

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

How did you do?

Did this page help you?

4
Sme Calculator2 marks

qp15-0580-12-paper-1-may-2020-cie-igcse-maths

Calculate the area of the trapezium.

......................................... cm2 

How did you do?

Did this page help you?

5
Sme Calculator3 marks

qp3a-0580-33-paper-3-may-2020-cie-igcse-maths

The diagram shows a rectangular patio with sides 6m and 8m.

i)
Work out the perimeter of the patio.
............................................. m [1]
ii)
Henri covers the patio floor with square tiles.
The tiles are 0.5m by 0.5m.

Work out the number of tiles he needs.

[2]

How did you do?

Did this page help you?

6
Sme Calculator4 marks

Henry decorates a room.

qp2b-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

The diagram shows the floor of the room.

i)
Calculate the area of the floor.
............................................... m2 [2]
ii)
Henry buys varnish for the floor of the room.
500ml of varnish covers 8m2 of floor.

Calculate the amount of varnish Henry needs.
............................................... ml [2]

How did you do?

Did this page help you?

7
Sme Calculator2 marks

Henry decorates a room.

qp2d-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

The diagram shows one wall of the room.

Calculate the area of the wall.

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

How did you do?

Did this page help you?

8
Sme Calculator4 marks

The diagram shows a shape made from two rectangles.

qp7a-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

i)
Work out the perimeter.
.............................................. cm [2]
ii)
Work out the area.
............................................. cm2 [2]

How did you do?

Did this page help you?

9a
Sme Calculator2 marks

The scale drawing shows a play area, A B C D E.
The scale is 1 centimetre represents 3 metres.

q5-058033-mayjune2019-cie-igcse-maths-core

Find the actual distance h in metres.

h space equals .............................m 

How did you do?

9b
Sme Calculator3 marks

Find the actual area of triangle C D E.

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

How did you do?

Did this page help you?

10
Sme Calculator2 marks

q10b-058032-march2019-cie-igcse-maths-core

Calculate the area of this trapezium.

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

How did you do?

Did this page help you?

11a
Sme Calculator1 mark

The diagram shows the top of a table.

q15-058011-octnov2018-cie-igcse-maths-core

Calculate the perimeter.

................................. m 

How did you do?

11b
Sme Calculator2 marks

Calculate the area.

................................ m2 

How did you do?

Did this page help you?

12
Sme Calculator2 marks

q9-058031-octnov2018-cie-igcse-maths-core

The diagram shows a field in the shape of a trapezium.
A B space equals space 150 m comma space B C space equals space 90 m and C D space equals space 120 m.
Angle A B C = angle B C D = 90 degree.

Calculate the area of the field.

................................m2 

How did you do?

Did this page help you?

13
Sme Calculator2 marks

Work out the area of the shape.

q22b-058013-mayjune2018-cie-igcse-maths-core

................................cm2

How did you do?

Did this page help you?

14
Sme Calculator2 marks

q11-058012-march2018-cie-igcse-maths-core

Find an estimate for the area of the shape drawn on this 1 cm2 grid.

............................... cm2 

How did you do?

Did this page help you?

1
Sme Calculator3 marks

qp13-0580-13-paper-1-nov-2020-cie-igcse-maths

The area of the parallelogram is the same as the area of the trapezium.

Work out the value of x.

x space= ................................................

How did you do?

Did this page help you?

2
Sme Calculator2 marks

Rectanglespace A spacemeasures 3 cm by 8 cm.

qp7-0580-11-paper-1-may-2020-cie-igcse-maths

Five rectangles congruent to A are joined to make a shape.

qp7-1-0580-11-paper-1-may-2020-cie-igcse-maths

Work out the perimeter of this shape.

........................................... cm 

How did you do?

Did this page help you?

3
Sme Calculator3 marks

A square has perimeter 12x.

Find an expression, in terms of x, for the area of the square.
Give your answer in its simplest form.

How did you do?

Did this page help you?

4
Sme Calculator3 marks

qp3d-0580-33-paper-3-may-2020-cie-igcse-maths

The diagram shows a semicircle with diameterspace A C.
B is a point on the circumference and A B space equals space B C.

Work out the area of triangle A B C.

.......................................... cm2 

How did you do?

Did this page help you?

5
Sme Calculator3 marks

qp14-0580-12-paper-1-march-2020-cie-igcse-maths

The diagram shows a right-angled triangle.

Calculate the perimeter.

............................................ cm 

How did you do?

Did this page help you?

6
Sme Calculator3 marks

qp4a-0580-32-paper-3-march-2020-cie-igcse-maths

The diagram shows the front of Pranav’s house.

i)
Work out the total area of the front of his house.
............................................ m2 [3]
ii)
The door is 0.9 m wide and 2.1m high.
Each of the four windows are 1.5m wide and 1.2 m high.
Work out the total area of the door and the four windows.
............................................ m2 [3]
iii)
Pranav paints the front of his house but not the door and not the four windows.

Work out the area he paints.
............................................ m2 [1]

How did you do?

Did this page help you?

7
Sme Calculator3 marks

q10d-058032-march2019-cie-igcse-maths-core

The area of this triangle is 363cm2.

Calculate the value of h.

h space equals .............................. 

How did you do?

Did this page help you?

8
Sme Calculator3 marks

The diagram shows a plan of a garden.

q5c-058032-octnov2018-cie-igcse-maths-core

Work out the area of the garden.

............................. m2 

How did you do?

Did this page help you?

9
Sme Calculator6 marks

The diagram shows another right-angled triangle.

q9b-058032-octnov2018-cie-igcse-maths-core

i)
Work out the area of the triangle.
Give the units of your answer.
[3]
ii)
Calculate the perimeter of the triangle.
.............................. cm [3]

How did you do?

Did this page help you?

10
Sme Calculator3 marks

q2e-058033-mayjune2018-cie-igcse-maths-core

A B C and A D E are isosceles triangles, each with perpendicular height 18cm.
B C space equals space 35 cm and D E space equals space 27 cm.

Find the total area of the two shaded parts of the diagram.

............................ cm2

How did you do?

Did this page help you?

11
Sme Calculator2 marks

qp15-0580-12-paper-1-nov-2020-cie-igcse-maths

The area of triangle A B C is 27 cm2 and A B = 6 cm.

Calculate the value of h.

h = .................................................

How did you do?

Did this page help you?