Number worksheet — GCSE Foundation

1.Work out 36 ÷ (2 × 3)

2.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

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.Which of these units would be most appropriate to use when stating the mass of a small car?

5.Which of these numbers lies between −8 and −5 on a number line?

6.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

7.Write 0.875 as a fraction in its simplest form.

8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

9.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

10.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.

11.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

12.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

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

14.Work out the value of 6² − 4³.

15.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.