Number worksheet — GCSE Foundation

1.Work out 5/6 × 2/9, giving your answer in its simplest form.

2.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

3.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?

4.Which statement about the number 91 is correct?

5.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

6.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

7.2/3 of an amount of money is £30. Work out the amount.

8.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.

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

10.Work out 100 − 4 × 5²

11.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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

13.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

14.Work out 4π + 2π, giving your answer as a multiple of π.

15.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.