Number worksheet — GCSE Foundation

1.Write 0.45 as a fraction in its simplest form.

2.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

3.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

4.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.

5.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

6.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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.

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 the value of √64.

11.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.

12.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

13.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

14.Which one of these statements about negative numbers is true?

15.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.