Number worksheet — GCSE Foundation

1.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

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

3.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

4.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

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

7.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

8.Work out 0.6 × 0.04.

9.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

10.Write down the symbol that makes this statement true: 0.45 ___ 0.5

11.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

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

13.Round 24,681 to the nearest 1,000.

14.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

15.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.