Number worksheet — GCSE Foundation

1.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

2.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

3.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

4.Work out (3 × 5)²

5.Work out 3 + 4 × (−2).

6.Write 0.325 as a fraction in its simplest form.

7.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

8.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.

9.After a price increase of 10%, a laptop costs £330. Work out the original price.

10.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

11.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

12.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

13.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

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

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