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.
Number worksheet — GCSE Higher
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- 1.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 2.Work out ⁴√16
- 3.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
- 4.Which of these decimals lies between 1/4 and 2/5?
- 5.Work out (−3) × 4 + 2 × (−5)
- 6.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 7.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.
- 8.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.
- 9.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 10.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
- 11.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 12.Work out 4368 ÷ 12.
- 13.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 15.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
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