Number worksheet — GCSE Foundation

1.Which one of these statements is true?

2.Work out ∛64.

3.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.

4.Work out 5 + 3 × (9 − 6)

5.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

6.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

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

8.A country has an area of 25,000,000 hectares. Write this area in standard form.

9.Estimate the value of √45, giving your answer to the nearest whole number.

10.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

11.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

12.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.

13.Write 5,000,000 in standard form.

14.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

15.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.