Number worksheet — GCSE Higher

1.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.

2.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

4.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

7.Work out the value of 2⁻²

8.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

9.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

10.Simplify (y³)⁴, giving your answer as a single power of y.

11.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.

12.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.

13.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

14.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

15.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.