Number worksheet — GCSE Foundation

1.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

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

3.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

4.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

5.Write down the decimal that is equal to 3/5.

6.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

7.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.

8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

10.A country has an area of 25,000,000 hectares. Write this area in standard form.

11.Work out 2/5 of 45.

12.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

13.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

14.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

15.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.