Number worksheet — GCSE Foundation

1.Work out ∛64.

2.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

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

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 charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

6.A country has an area of 25,000,000 hectares. Write this area in standard form.

7.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

8.Write '3.2 million' as a number in figures.

9.Work out 4368 ÷ 12.

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

11.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.

12.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

13.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

14.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

15.A circle has a radius of 3 cm. Which of these is the exact area of the circle?