Number worksheet — GCSE Foundation

1.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

2.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

3.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.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

6.2/3 of an amount of money is £30. Work out the amount.

7.Round 3.947 to 2 decimal places.

8.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

9.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.

10.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

11.Work out √49

12.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

13.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

14.Work out the reciprocal of (2 + 3)

15.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.