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.

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Converting between standard and compound units worksheet — GCSE Foundation

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

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1.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
2.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
3.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
4.A bottle contains 1.5 litres of juice. Given that 1 litre = 1000 ml, work out the capacity of the bottle in millilitres.
(a)1500 ml
(b)150 ml
(c)1.5 ml
(d)15000 ml
5.1 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
6.A smoothie recipe combines 350 cm³ of mango juice with 650 cm³ of orange juice. Work out the total volume of the smoothie in litres.
(a)0.35 litres
(b)1.00 litres
(c)0.65 litres
(d)1000.00 litres
7.Write 3 hours 45 minutes as a decimal number of hours.
(a)3.67
(b)4.15
(c)3.45
(d)3.75
8.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
9.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
10.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
11.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
12.Butter costs £2.40 per kg. Work out the cost of the butter in pence per 100 g.
(a)2400p
(b)2.4p
(c)24p
(d)240p
13.A parcel has a mass of 2400 g. Given that 1 kg = 1000 g, work out the mass of the parcel in kilograms.
(a)2.4 kg
(b)24 kg
(c)240 kg
(d)0.24 kg
14.A tank is filled at a rate of 3 litres every 2 minutes. Given that 1 litre = 1000 cm³, work out the flow rate in cm³ per minute.
(a)3000
(b)1500
(c)750
(d)2000
15.A metal has a density of 7.8 g/cm³. Work out the density of the metal in kg/m³.
(a)7.8 kg/m³
(b)78000 kg/m³
(c)7800 kg/m³
(d)780 kg/m³

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