Printable · GCSE Foundation · ages 14-16

Converting between standard and compound units worksheet — GCSE Foundation

Fifteen questions on "converting between standard and compound units" — DfE statement R1. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Converting between standard and compound units worksheet — GCSE Foundation

Maths · GCSE Foundation · R1 · Converting between standard and compound units · 15 questions

MathsUKwww.geekhero.co.uk

1.The speed of a car is given by v = d ÷ t. A car travels 180 km in 3 hours. Work out the average speed of the car in km/h.
(a)90 km/h
(b)540 km/h
(c)18 km/h
(d)60 km/h
2.A lorry is carrying a load of mass m tonnes. Given that 1 tonne = 1000 kg, write down an expression for the mass of the load in kilograms.
(a)1000m
(b)m − 1000
(c)m/1000
(d)1000 + m
3.The density of a liquid is 0.92 g/cm³. Work out the density of the liquid in kg/m³.
(a)9.2 kg/m³
(b)92 kg/m³
(c)920 kg/m³
(d)0.00092 kg/m³
4.1 litre = 100 centilitres. Work out how many centilitres there are in 6 litres.
(a)6000 centilitres
(b)60 centilitres
(c)600 centilitres
(d)106 centilitres
5.Given that 1 mile ≈ 1.6 km, work out a speed of 55 mph in km/h.
(a)33 km/h
(b)56.6 km/h
(c)88 km/h
(d)34.38 km/h
6.A force of 20 N acts on an area of 4 m². Using pressure = force ÷ area, work out the pressure, in pascals.
(a)5
(b)24
(c)80
(d)16
7.A runner's speed is 8 m/s. Given that there are 3600 seconds in an hour and 1000 metres in a kilometre, work out the runner's speed in km/h.
(a)28.8 km/h
(b)2.88 km/h
(c)28800 km/h
(d)2.22 km/h
8.Write 3 hours 45 minutes as a decimal number of hours.
(a)3.67
(b)4.15
(c)3.45
(d)3.75
9.Work out how many seconds there are in 3 minutes and 20 seconds.
(a)200 seconds
(b)320 seconds
(c)180 seconds
(d)23 seconds
10.A jug holds 2 litres. Given that 1 litre = 1000 cm³, work out the capacity of the jug in cm³.
(a)20 cm³
(b)2000 cm³
(c)200 cm³
(d)20000 cm³
11.The density of a type of solid plastic is 0.9 g/cm³. Work out the mass of 0.5 m³ of the plastic, in kilograms.
(a)0.45 kg
(b)450.00 kg
(c)4.50 kg
(d)450000.00 kg
12.A watering can holds 4500 cm³ of water. Given that 1 litre = 1000 cm³, work out the capacity of the watering can in litres.
(a)45 litres
(b)0.45 litres
(c)4.5 litres
(d)450 litres
13.A cyclist travels d kilometres in t hours. Write down an expression, in terms of d and t, for the cyclist's average speed in km/h.
(a)d + t
(b)d × t
(c)t ÷ d
(d)d ÷ t
14.A tap fills a tank at a rate of 15 litres per minute. Given that 1 litre = 1000 cm³, work out the rate at which the tank fills in cm³ per second.
(a)15000 cm³/s
(b)2500 cm³/s
(c)900000 cm³/s
(d)250 cm³/s
15.A pump fills a paddling pool at a rate of 130 litres per hour. Work out the rate in litres per minute, to 2 decimal places.
(a)2.17 litres per minute
(b)130.00 litres per minute
(c)7800.00 litres per minute
(d)2.60 litres per minute

Build your own mix at the worksheet builder.