Number worksheet — GCSE Higher

1.Which of these is written correctly in standard form?

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

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

4.Round 0.006482 to 2 significant figures.

5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

7.After a price increase of 10%, a laptop costs £330. Work out the original price.

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.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

10.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.

11.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.

12.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

13.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

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

15.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.