Number worksheet — GCSE Higher

1.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

2.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

5.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

6.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

7.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

8.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.

9.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

10.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.

11.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

12.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

13.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

14.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.

15.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.