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.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 2.Work out 36 ÷ (2 × 3)
- 3.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.
- 4.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 5.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 6.Write 5/6 as a decimal, showing clearly which digit recurs.
- 7.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 8.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?
- 9.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 10.Work out the value of 2⁻⁴
- 11.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 12.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 13.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 14.Work out 3³ + 2⁴.
- 15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
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