Number worksheet — GCSE Foundation

1.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

2.Work out (−3) × 4 + 10

3.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

4.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

5.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

6.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.

7.Work out the value of 2⁻²

8.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

9.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

10.Work out (−3) × 4 + 2 × (−5)

11.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

12.Work out 4368 ÷ 12.

13.Work out (−2)² − 3

14.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.

15.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.