Number worksheet — GCSE Higher

1.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

2.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.

3.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

4.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.

5.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

6.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.

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

8.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

9.2/3 of an amount of money is £30. Work out the amount.

10.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

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

12.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

13.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

14.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

15.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?