Number worksheet — GCSE Higher

1.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

2.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

3.Work out 35% of 180.

4.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

5.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.

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

7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

8.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

9.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

10.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

11.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

12.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

13.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

14.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

15.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.