Number worksheet — GCSE Foundation

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

2.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

3.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

4.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

5.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

6.Round 592.5 to the nearest 10.

7.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

8.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

9.Work out 2 × (−3 + 7)

10.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

11.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.

12.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

13.Simplify (y³)⁴, giving your answer as a single power of y.

14.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

15.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?