Number worksheet — GCSE Foundation

1.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

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

3.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.

4.Write down the value of 3⁰

5.Work out 8% of £250.

6.Work out 3³ + 2⁴.

7.Write 12 as a product of its prime factors.

8.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

10.Work out 4368 ÷ 12.

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.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

13.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.

14.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

15.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%