Number worksheet — GCSE Foundation

1.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

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

3.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

4.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

5.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

6.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

7.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.

8.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

9.Work out the value of √49 + ∛27

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 country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

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

13.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

14.Write 0.45 as a fraction in its simplest form.

15.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.