Number worksheet — GCSE Foundation

1.Work out 5 + 3 × (9 − 6)

2.Work out the value of ∛8.

3.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

4.4ˣ = 64. Work out the value of x.

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

6.Work out 3³ + 2⁴.

7.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

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

9.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

10.Work out the lowest common multiple of 4 and 6.

11.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

12.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

13.Which of these numbers is a common factor of 18 and 24?

14.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

15.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.