Number worksheet — GCSE Foundation

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

2.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

3.Which of these is written correctly in standard form?

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

5.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

6.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

7.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

8.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

9.Work out 20 − 8 ÷ 2 + 1

10.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

11.Round 6.283 to 1 significant figure.

12.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

13.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

14.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.

15.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.