Number worksheet — GCSE Foundation

1.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

2.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.

3.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

4.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.

5.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

6.Work out ∛(−27) + ∛8

7.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

8.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

9.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

10.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

11.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

12.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

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

14.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

15.Write 260,000 in standard form.