Number worksheet — GCSE Foundation

1.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

2.Write down the reciprocal of 5/8

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

4.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

5.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

6.Round 592.5 to the nearest 10.

7.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

8.Is 120 divisible by 5? Give a reason for your answer.

9.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

11.Work out 18 − 4 × 2

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

13.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

14.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

15.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.