Number worksheet — GCSE Higher

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

2.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

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

4.Write 0.875 as a fraction in its simplest form.

5.Simplify x⁷ × x⁴, giving your answer as a single power of x.

6.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

7.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

8.Work out 35% of 180.

9.Work out 100 − 4 × 5²

10.Work out ⁴√81

11.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

13.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.

14.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

15.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.