Number worksheet — GCSE Higher

1.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

2.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.

3.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

4.Given that 2⁵ = 32, work out 2⁶.

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

6.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.

7.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.

8.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

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

10.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.

11.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.

12.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

13.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

14.Work out 35% of 180.

15.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.