Number worksheet — GCSE Foundation

1.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

2.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.

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

4.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

5.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

6.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

7.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

9.Round 6.283 to 1 significant figure.

10.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

11.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

12.Work out the value of √(16 + 9)

13.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.

14.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

15.Write 0.325 as a fraction in its simplest form.