Number worksheet — GCSE Foundation

1.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

2.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

3.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

4.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.

5.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

6.Which of these numbers lies between −4 and −1 on a number line?

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

8.Which statement about the number 51 is correct?

9.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.

10.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

11.Simplify x⁷ × x⁴, giving your answer as a single power of x.

12.Work out (5 + 2) × 3²

13.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.

14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

15.Write the mixed number 2 1/4 as an improper fraction.