Number worksheet — GCSE Higher

1.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

3.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.

4.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

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

6.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

7.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

8.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

9.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

10.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.

11.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.

12.Work out the reciprocal of (2 + 3)

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

14.Simplify (5² × 2³)³ ÷ (5³ × 2²)²

15.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.