CIE IGCSE Maths: Core

Topic Questions

IGCSEMaths: CoreCIETopic QuestionsLengths, Areas & VolumesCircles, Arcs & Sectors

Syllabus Edition

First teaching 2021

Last exams 2024

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Circles, Arcs & Sectors

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1
Sme Calculator2 marks

Calculate the area of a circle with radius 12cm.

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

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2
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A circle has diameter 6 cm.

Calculate the area of the circle.
Give the units of your answer.

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3
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Henry buys a circular mirror for the room.
The diameter of the mirror is 80 cm.

Calculate the circumference of the mirror.

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

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4
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Calculate the circumference of a circle with radius 4.5cm.

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

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5
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A circle has diameter 7 cm.

Show that the circumference of the circle is 21.99cm, correct to 2 decimal places.

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1a
Sme Calculator1 mark

qp6-0580-31-paper-3-may-2020-cie-igcse-maths

The diagram shows a circle, centre O, radius 11 cm.
C comma space F comma space G and H are points on the circumference of the circle.
The line A D touches the circle at C and is parallel to the line E G.
B is a point on A D and angle A B O = 140°.

Write down the mathematical name of the straight linespace A D.

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1b
Sme Calculator6 marks
i)
Find, in terms of pi, the circumference of the circle.

[2]

ii)
Work out angle F O H.

Angle F O H = ................................................. [2]

iii)
Calculate the length of the minor arc F H.
............................................ cm [2]

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2
Sme Calculator5 marks

qp7d-0580-32-paper-3-may-2020-cie-igcse-maths

The diagram shows a square with vertices on the circumference of a circle, centre O.
The radius of the circle is 6 cm.

Work out the shaded area.

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

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3
Sme Calculator8 marks

The diagram shows a rectangle and two semicircles with diameters A C and B D.
This diagram is a scale drawing of a running track.
A C space equals space B D space equals space 60 straight m space A B space equals space C D space equals space 120 straight m

q9-058032-march2019-cie-igcse-maths-core

i)
Complete the statement.

1 centimetre represents ............................ metres.

[2]

ii)
Work out the total length of the running track in metres.
............................. m [3]
iii)
Shreva walks at 1.4m/s.

Work out how long it will take her to walk once around the track.
Give your answer in minutes and seconds, correct to the nearest second.

.................... minutes .................... seconds [3]

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4
Sme Calculator3 marks

q10e-058032-march2019-cie-igcse-maths-core

This shape is drawn using two semicircles that have the same centre.
The large semicircle has radius 7cm.
The small semicircle has radius 3cm.

Calculate the area of the shape.

.............................. cm2 

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5
Sme Calculator7 marks

The distance between Lexford Station and Crowton Station is 6.5km.

i)
A train travels between these stations at an average speed of 39km/h.
Work out how long, in minutes, it takes the train to travel between these stations.

............................. min [3]

ii)
Each wheel on the train has a diameter of 1.8m.
Work out the number of complete turns each wheel makes in travelling the 6.5km.

[4]

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6
Sme Calculator5 marks

q8b-058031-mayjune2019-cie-igcse-maths-core

Points P comma space Q and R are on the circumference of a semicircle, centre O and radius 8 cm.
Angle P O Q = 90°.

Calculate the shaded area.

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

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1
Sme Calculator3 marks

q21-058012-mayjune2019-cie-igcse-maths-core

The diagram shows a semicircle with diameter 9 cm.

Calculate the total perimeter of this semicircle.

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

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2
Sme Calculator4 marks

There is a circular pool in the play area at a local park.
The pool has a diameter of 8 m.

Calculate

i)
the circumference of the pool,

..........................m [2]

ii)
the area of the pool.

........................... m2 [2]

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3
Sme Calculator3 marks

Rachel has a pond in her garden in the shape of a circle.
The circumference of the pond is 4.25m.

Calculate the diameter of the pond.
Give your answer in centimetres.

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

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4
Sme Calculator2 marks

A circle has a circumference of 56mm.

Work out the radius of this circle.

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

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5
Sme Calculator2 marks

qp28-0580-01-paper-1-specimen-2020-cie-igcse-maths

O A B is a sector of a circle with radius 9 cm and centre O.
The angle at O is 30°.

Calculate the area of this sector.
Give your answer in terms of pi.

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

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