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 company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 2.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 3.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 4.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 5.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
- 6.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 7.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 8.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 9.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
- 10.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 11.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 12.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.
- 13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 14.Which of these is written correctly in standard form?
- 15.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
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