Number worksheet — GCSE Foundation

1.Write the fraction 47/50 as a decimal.

2.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

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

4.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

5.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

6.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

7.Write down the symbol that makes this statement true: 0.45 ___ 0.5

8.Work out the value of √49 + ∛27

9.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.

10.Work out −7 − (−3).

11.Work out ∛64.

12.Work out 36 ÷ (2 × 3)

13.Write 12 as a product of its prime factors.

14.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.

15.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.