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

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.

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.