Number worksheet — GCSE Foundation

1.Work out 1/2 of 1/4 of 80.

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

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

4.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

5.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

6.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

7.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

8.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

9.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.

10.Which of these units would be most appropriate to use when stating the mass of a small car?

11.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

12.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

13.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

14.Work out the lowest common multiple of 9 and 15.

15.Which statement about the number 51 is correct?