Number worksheet — GCSE Foundation

1.Work out the value of ∛125.

2.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.

3.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.

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

5.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.

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

7.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

8.Which of these numbers is the largest: −9, −7, −4, −2?

9.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

10.Write down a prime number between 30 and 40.

11.Work out 3 × (−2)² − 5

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

13.Work out −7 − (−3).

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

15.Work out 5⁰ + 5¹ + 5²