IGCSEMaths: CoreCIETopic QuestionsNumberCompound Measures: Speed, Density, Pressure

Syllabus Edition

First teaching 2023

First exams 2025

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Compound Measures: Speed, Density, Pressure (CIE IGCSE Maths: Core)

Topic Questions

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1
Sme Calculator1 mark

George drives 315 km from the café to the airport.
The journey takes 3 hours 30 minutes.

Calculate his average speed.

......................................... km/h

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2
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The distance between Madrid and Buenos Aires is 10050km.
Diego’s return flight takes 12 hours 30 minutes.

Calculate the average speed, in km/h, for the return flight.

........................................ km/h 

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3
Sme Calculator2 marks

A speedboat travels at 84 kilometres per hour.

Change this speed into metres per minute.

...................................... m/min

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4
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Ivan walks 1.5 km from his home to Kingswood Park.
He takes 20 minutes.


Work out Ivan’s average speed in kilometres per hour.

....................................... km/h

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5
Sme Calculator3 marks

Pressure space equals fraction numerator space Force over denominator Area end fraction

An object exerts a force of 300 N on an area of 5 m2.

Find the pressure on the area, stating appropriate units.

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1
Sme Calculator4 marks

The plane flies from Melbourne to Tokyo at an average speed of 783 km/h.
The distance from Melbourne to Tokyo is 8352 km.
The plane leaves Melbourne at 0952 local time.
The local time in Tokyo is 2 hours behind the local time in Melbourne.

Find the local time in Tokyo when the plane arrives.

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2
Sme Calculator5 marks

A car travels at a constant speed of 45 kilometres per hour for 5 minutes.
Each wheel of the car has radius 25 centimetres.

Calculate the number of complete revolutions that a wheel makes during the 5 minutes.

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3
Sme Calculator6 marks

The diagram shows the path of a plane from airport A to airport B.

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i)
Show that the distance between space A spaceand B is 375km.
[2]
ii)
The plane flies at an average speed of 450km/h.
It leaves A at 1445 and flies directly to B.

Work out the time the plane arrives at B.
[4]

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4
Sme Calculator3 marks

Pressure space equals fraction numerator space Force over denominator Area end fraction

A force of 300 N is exerted on a rectangle of width 20 cm, and length x cm. 

The pressure on the rectangle is 0.6 N/cm2.

Find the value of x.

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5
Sme Calculator3 marks

Density equals Mass over Volume

If an object has a lower density than water, it will float.

A cuboid-shaped block of wood measures 0.2 m wide, 0.2 m long, and 0.1 m high, and has a mass of 3 kilograms.

Assuming the density of water is 1 gram per cm3, determine if the block of wood will float or not. 

Show your working clearly.

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1
Sme Calculator3 marks

Ramond walks 2460 metres in 33 minutes.

Work out Ramond’s average speed in kilometres per hour.

........................................ km/h

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2
Sme Calculator2 marks

Kiran leaves home at 9.45 am.
She drives 135 km to visit a friend.
She arrives at her friend’s house at 11.15 am.

Work out her average speed in km/h.

........................................... km/h 

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3
Sme Calculator3 marks

A car travels at a constant speed of 20 m/s.

Work out the time it takes for the car to travel 10 km.
Give your answer in minutes and seconds. 

..................... minutes ..................... seconds

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4
Sme Calculator3 marks

Pressure equals Force over Area

A force, F Newtons, is applied to a rectangle which is 0.8 m wide, and 1.2 m long.

The pressure on the rectangle is 200 N/m2.

Find the value of F.

F = ......................................... N

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5
Sme Calculator3 marks

Density equals Mass over Volume

If an object has a lower density than water, it will float.

A cuboid-shaped block of wood measures 8 cm wide, 20 cm long, and 10 cm high, and has a mass of 1360 grams.

Assuming the density of water is 1 gram per cm3, determine if the block of wood will float or not. 

Show your working clearly.

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