Number worksheet — GCSE Higher

1.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

2.Round 0.006852 to 2 significant figures.

3.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

4.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

5.Work out how many factors 36 has.

6.Simplify (x⁻²)³, giving your answer as a fraction.

7.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

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

9.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

10.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

11.√700 lies between which two consecutive integers?

12.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

13.Work out (5 + 2) × 3²

14.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.

15.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.