Number worksheet — GCSE Foundation

1.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

2.Work out 35% of 180.

3.Work out 4368 ÷ 12.

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

5.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.

6.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

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

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

9.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

10.Write 200 as a product of its prime factors, using index notation.

11.Write 0.25 as a fraction in its simplest form.

12.Find the missing number: 17 × ▢ = 391

13.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

14.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

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