Number worksheet — GCSE Foundation

1.Simplify x⁶ ÷ x²

2.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

3.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

4.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

5.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

6.Find the missing number: 17 × ▢ = 391

7.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.

8.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

9.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

10.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.

11.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.

12.Write 0.35 as a fraction in its lowest terms.

13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

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

15.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.