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.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
2.A film runs for 2.25 hours. Work out the length of the film in minutes.
(a)135 minutes
(b)150 minutes
(c)225 minutes
(d)145 minutes
3.1 metre = 100 cm. Work out how many square centimetres there are in 1 square metre.
(a)100 cm²
(b)10000 cm²
(c)1000000 cm²
(d)200 cm²
4.A force of 250 N acts on an area of 0.5 m². Using pressure = force ÷ area, work out the pressure, in pascals.
(a)50
(b)125
(c)500
(d)249.5
5.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
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.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
8.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
9.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
10.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
11.A section of a kitchen wall has an area of 45,000 cm². Work out the area of this section in m².
(a)0.45 m²
(b)450.00 m²
(c)4500000.00 m²
(d)4.50 m²
12.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
13.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
14.A worker is paid £13.20 per hour. Work out this rate of pay in pence per minute.
(a)22p
(b)79200p
(c)2.2p
(d)1320p
15.Write 3 hours 45 minutes as a decimal number of hours.
(a)3.67
(b)4.15
(c)3.45
(d)3.75

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