Number worksheet — GCSE Higher

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

2.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.

3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

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

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

6.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

7.Round 0.006482 to 2 significant figures.

8.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.

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

10.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

11.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.

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

13.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

14.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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