Number worksheet — GCSE Higher

1.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

2.Given that 2⁵ = 32, work out 2⁶.

3.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

6.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

7.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.

8.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

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

10.Which statement about the number 91 is correct?

11.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

12.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.

13.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

14.Work out √(4 × 9)

15.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.