Number worksheet — GCSE Foundation

1.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

2.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

3.Last year a company made a profit of £5,200,000. Write this amount in standard form.

4.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

5.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

6.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

7.Work out 5 + 3 × (9 − 6)

8.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

9.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

10.Work out 4368 ÷ 12.

11.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

12.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.

13.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

14.Work out 2/5 of 45.

15.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.