CIE IGCSE Maths: Core

Topic Questions

IGCSEMaths: CoreCIETopic QuestionsLengths, Areas & VolumesArea & Perimeter

Syllabus Edition

First teaching 2021

Last exams 2024

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Area & Perimeter

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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]

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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]

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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 

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4
Sme Calculator2 marks

Work out the area of the shape.

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

.................................cm2 

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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 

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6
Sme Calculator1 mark

The area of a square is 64 cm2.

Work out the length of one side of the square.

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

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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 

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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]

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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]

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10
Sme Calculator2 marks

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

Calculate the area of this triangle.

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

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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.

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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.

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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= ................................................

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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 

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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.

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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 

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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 

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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]

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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 .............................. 

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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 

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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]

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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

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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 = .................................................

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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.

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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 

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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

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4
Sme Calculator2 marks

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

Calculate the area of the trapezium.

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

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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]

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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]

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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

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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]

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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 

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9b
Sme Calculator3 marks

Find the actual area of triangle C D E.

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

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10
Sme Calculator2 marks

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

Calculate the area of this trapezium.

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

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11a
Sme Calculator1 mark

The diagram shows the top of a table.

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

Calculate the perimeter.

................................. m 

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11b
Sme Calculator2 marks

Calculate the area.

................................ m2 

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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 

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13
Sme Calculator2 marks

Work out the area of the shape.

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

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

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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 

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