Number worksheet — GCSE Foundation

1.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

2.Work out 2/5 of 45.

3.Which of these is equal to 5³?

4.Work out (3 × 5)²

5.Write 0.06 as a fraction in its simplest form.

6.Work out ∛64.

7.Round 0.006482 to 2 significant figures.

8.Work out 4368 ÷ 12.

9.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

10.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

11.Write 0.325 as a fraction in its simplest form.

12.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.

13.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

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

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