Number worksheet — GCSE Foundation

1.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

2.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.

3.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

4.Which of these units would be most appropriate to use when stating the mass of a small car?

5.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.

6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

7.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

8.Write 0.25 as a fraction in its simplest form.

9.Write down the symbol that makes this statement true: −9 ___ −4

10.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

11.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

12.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

13.2/3 of an amount of money is £30. Work out the amount.

14.Work out (−2)² − 3

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