Number worksheet — GCSE Higher

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

2.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

3.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

4.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

7.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

8.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.

9.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

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

11.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

12.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

13.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

14.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

15.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0