Number worksheet — GCSE Foundation

1.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.

2.Which of these numbers is the largest: −9, −7, −4, −2?

3.Work out 3/8 of 96.

4.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.

5.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?

6.Write the fraction 9/25 as a decimal.

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

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

9.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

10.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

11.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

12.Write the fraction 47/50 as a decimal.

13.Simplify x⁶ ÷ x²

14.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?

15.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.