Number worksheet — GCSE Foundation

1.Work out 1/2 of 1/4 of 80.

2.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

3.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.

4.Write down the reciprocal of 0.2

5.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

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

7.Which of these numbers is the largest: −9, −7, −4, −2?

8.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.

9.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

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

11.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

12.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

13.Work out ∛(−27) + ∛8

14.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

15.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.