Number worksheet — GCSE Foundation

1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

2.Work out √25 + 4² − 12 ÷ 3

3.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

4.Write 0.36 as a fraction in its simplest form.

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

6.Work out the value of ∛8.

7.Work out the value of 2⁻⁴

8.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

9.Work out the value of ∛125.

10.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Write 0.875 as a fraction in its simplest form.

13.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

14.Work out √144 − 2 × 3 + √25

15.Work out 15% of £40, using 10% and 5%.