Number worksheet — GCSE Foundation

1.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

3.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

4.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

6.Work out ∛64.

7.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

8.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

9.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

10.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

11.Work out 2 × (−3 + 7)

12.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

13.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

14.Work out the value of 2⁻⁴

15.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.