Number worksheet — GCSE Foundation

1.Work out (−2)² − 3

2.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

3.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

4.Work out √225 ÷ 3.

5.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

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

7.Work out 35% of 180.

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

9.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

10.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

11.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

12.Last year a company made a profit of £5,200,000. Write this amount in standard form.

13.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

14.4ˣ = 64. Work out the value of x.

15.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.