Number worksheet — GCSE Foundation

1.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

2.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

3.Work out the highest common factor of 15 and 25.

4.Work out (2/3)² + (1/2)². Give your answer as a fraction.

5.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

6.Work out 36 ÷ (2 × 3)

7.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

8.Which of these units would be most appropriate to use when stating the mass of a small car?

9.Write the fraction 47/50 as a decimal.

10.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.

11.Write down the symbol that makes this statement true: 0.45 ___ 0.5

12.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

13.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

14.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

15.Round 0.006482 to 2 significant figures.