Number worksheet — GCSE Higher

1.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

2.Which of these is written correctly in standard form?

3.Given that 2⁵ = 32, work out 2⁶.

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

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

6.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.

7.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

8.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

9.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

10.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

11.Work out 35% of 180.

12.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

13.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

14.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

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