Number worksheet — GCSE Foundation

1.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.

2.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

4.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

5.Work out how many factors 100 has.

6.Work out (−3) × 4 + 10

7.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

8.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

9.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

10.Work out −(−3)⁴ + (−3)³

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

12.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

13.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

14.Work out √49

15.Write 0.0038 in standard form.