Number worksheet — GCSE Foundation

1.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.

2.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

4.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

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

6.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

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

8.Work out (−3) × 4 + 2 × (−5)

9.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.

10.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

11.Write 90 as a product of its prime factors.

12.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

13.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

14.Work out 3π − π, giving your answer as a multiple of π.

15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.