Number worksheet — GCSE Foundation

1.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

2.Write down the symbol that makes this statement true: 6/11 ___ 4/11

3.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

4.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

5.Work out ⁴√16

6.Which of these numbers lies between −8 and −5 on a number line?

7.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

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

9.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

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

11.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

12.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

13.Work out (3 × 5)²

14.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

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