Number worksheet — GCSE Foundation

1.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

2.Given that 2⁵ = 32, work out 2⁶.

3.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

4.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.

5.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.

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

7.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

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 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.

10.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.

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

12.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

14.Work out 10% of 30% of £200.

15.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.