Number worksheet — GCSE Foundation

1.Write 260,000 in standard form.

2.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.

3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

6.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

7.Write 0.0038 in standard form.

8.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

9.Write 0.00072 in standard form.

10.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

11.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

12.Round 0.006482 to 2 significant figures.

13.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

15.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.