Number worksheet — GCSE Foundation

1.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

2.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

3.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

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

5.Work out 3 + 4 × 2²

6.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

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

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

9.Work out 2⁵.

10.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.

11.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

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.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

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.Work out 4368 ÷ 12.