Number worksheet — GCSE Foundation

1.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.

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

3.Write 0.35 as a fraction in its lowest terms.

4.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.

5.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

6.Work out 2 × (−3 + 7)

7.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

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

9.Which one of these statements is true?

10.Write the fraction 9/25 as a decimal.

11.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

12.Round 4,685 to the nearest 100.

13.4ˣ = 64. Work out the value of x.

14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

15.Write 0.06 as a fraction in its simplest form.