Number worksheet — GCSE Foundation

1.Write down the decimal that is equal to 3/5.

2.Write 60 as a product of its prime factors, using index notation.

3.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

4.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

5.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

6.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

7.Write 45,000 in standard form.

8.Write 260,000 in standard form.

9.Work out 3 × (−2)² − 5

10.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

11.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

12.Round 0.006852 to 2 significant figures.

13.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

14.Work out 4π + 2π, giving your answer as a multiple of π.

15.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.