Compound Measures (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Ramond walks 2460 metres in 33 minutes.

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

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

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 

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

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

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.

Andy is doing a 60 kilometre sponsored cycle ride.

He leaves the starting point at 1000, stops briefly at the first stopping point, and then cycles on to the second stopping point.

The travel graph shows Andy's journey.

Find Andy’s average speed, in kilometres per hour, from 'Start' to 'Stop 1'.

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

Andy leaves 'Stop 2' at 1400.
He continues to the Finish point at a constant speed of 13 kilometres per hour.

(i) Calculate the time Andy takes to travel from 'Stop 2' to 'Finish'.
Give your answer in hours and minutes, correct to the nearest minute.

....................... h ....................... min [2]

(ii) On the travel graph, complete Andy's journey.

[1]

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.

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.

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

i) Show that the distance between and is 375km.

[2]

ii) The plane flies at an average speed of 450km/h. It leaves at 1445 and flies directly to .

Work out the time the plane arrives at .

[4]

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

The pressure on the rectangle is 0.6 N/cm².

Find the value of .

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.