Number worksheet — GCSE Foundation

1.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

2.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

3.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

4.Work out how many factors 100 has.

5.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

6.Round 592.5 to the nearest 10.

7.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

8.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?

9.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

10.Work out 3 × (−2)² − 5

11.Work out the highest common factor of 12 and 18.

12.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.

13.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

14.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

15.Work out 15% of £40, using 10% and 5%.