Number worksheet — GCSE Foundation

1.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

2.Work out √25 + 4² − 12 ÷ 3

3.Work out the highest common factor of 20 and 32.

4.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

5.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

6.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

7.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.

8.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

9.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

10.Work out 3.7 × 24.

11.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

13.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

14.Round 4,685 to the nearest 100.

15.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.