Number worksheet — GCSE Foundation

1.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

2.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

3.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

4.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

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.Work out 36 ÷ (2 × 3)

7.Work out 6² − 4².

8.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

9.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

10.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

11.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

12.Write 12 as a product of its prime factors.

13.Work out 3/8 of 96.

14.Write 0.325 as a fraction in its simplest form.

15.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.