Number worksheet — GCSE Foundation

1.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

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

3.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.

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

5.Work out −(−3)⁴ + (−3)³

6.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

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

8.Work out (2/3)² + (1/2)². Give your answer as a fraction.

9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

10.Work out 4π + 2π, giving your answer as a multiple of π.

11.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

12.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

13.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

14.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.