Number worksheet — GCSE Foundation

1.Simplify (y³)⁴, giving your answer as a single power of y.

2.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

3.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.

4.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

5.Simplify x⁷ × x⁴, giving your answer as a single power of x.

6.Work out (−3) × 4 + 10

7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

8.Work out how many factors 36 has.

9.Write 60 as a product of its prime factors, using index notation.

10.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

11.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

12.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

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.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.