Number worksheet — GCSE Foundation

1.Round 0.006852 to 2 significant figures.

2.Work out 2 × (−3 + 7)

3.Write 0.45 as a fraction in its simplest form.

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

5.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

7.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

8.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

9.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

10.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

11.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

12.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

13.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.

14.Write 0.325 as a fraction in its simplest form.

15.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?