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.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 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 crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 4.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 5.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 8.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 9.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 10.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.
- 11.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 13.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 14.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 15.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.
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