Number worksheet — GCSE Foundation

1.Work out 3 + 4 × 2²

2.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

3.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

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

5.Work out 15% of £40, using 10% and 5%.

6.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

7.Round 6.283 to 1 significant figure.

8.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

9.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

10.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

11.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

12.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

13.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

14.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

15.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.