Number worksheet — GCSE Foundation

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

2.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

3.Write down the symbol that makes this statement true: −2/3 ___ −5/6

4.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

5.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

8.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

9.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

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

11.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

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

13.Work out 3³ + 2⁴.

14.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

15.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?