Number worksheet — GCSE Foundation

1.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

2.Work out 3.7 × 24.

3.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

4.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

5.Write down a prime number between 30 and 40.

6.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.

7.Work out 5/6 × 2/9, giving your answer in its simplest form.

8.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.

9.Write 0.25 as a fraction in its simplest form.

10.Work out −4.5 + 2.8.

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

12.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

13.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

15.A circle has a radius of 3 cm. Which of these is the exact area of the circle?