Number worksheet — GCSE Foundation

1.Work out 1/2 of 1/4 of 80.

2.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

3.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.

4.Work out (2/3)² + (1/2)². Give your answer as a fraction.

5.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

6.Write down a prime number between 30 and 40.

7.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

8.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

9.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

10.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

11.Write 0.45 as a fraction in its simplest form.

12.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

13.Write 45,000 in standard form.

14.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

15.Write these numbers in order, starting with the smallest: 3, −1, 0, −5