Number worksheet — GCSE Foundation

1.Work out √25 + 4² − 12 ÷ 3

2.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

3.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

4.Write 0.36 as a fraction in its simplest form.

5.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

6.Work out (−6) + (−4) × 3

7.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

8.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

9.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

10.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

11.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

12.In the number 3.472, work out the value of the digit 7.

13.Write the fraction 9/25 as a decimal.

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

15.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.