Number worksheet — GCSE Foundation

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

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

3.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

4.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

5.Work out 15% of £40, using 10% and 5%.

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

7.Given that 2⁵ = 32, work out 2⁶.

8.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

9.Round 4,685 to the nearest 100.

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

11.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

12.Work out −7 − (−3).

13.Work out the value of 5³.

14.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

15.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.