Number worksheet — GCSE Foundation

1.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.

2.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

3.Find the missing number: ▢ ÷ 15 = 24

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

5.Write 0.00072 in standard form.

6.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

7.Work out 35% of 180.

8.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

9.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.

10.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

11.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

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

13.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

14.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

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