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 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.
- 2.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
- 3.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 4.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 5.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 6.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 7.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 8.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 9.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.
- 10.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 11.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 13.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 15.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.
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