Number worksheet — GCSE Higher

2.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

3.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

4.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

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

6.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.

7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

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

10.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.

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

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

13.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.

14.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

15.2/3 of an amount of money is £30. Work out the amount.