Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 2.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 3.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 4.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 5.Simplify √45.
- 6.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
- 7.Estimate the value of √45, giving your answer to the nearest whole number.
- 8.Work out √144 − 2 × 3 + √25
- 9.Write 0.005 in standard form.
- 10.Work out 3.7 × 24.
- 11.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 12.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 13.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 14.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 15.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
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