Number worksheet — GCSE Higher

1.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

2.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

3.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

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

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

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

7.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.

8.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

9.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.

10.2/3 of an amount of money is £30. Work out the amount.

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

12.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

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.Given that 2⁵ = 32, work out 2⁶.

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