Number worksheet — GCSE Higher

1.Simplify ⁴√(16a⁸b¹²)

2.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

3.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

4.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

5.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

7.Which of these statements about −0.7 and −0.25 is true?

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

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

10.Find the missing number: 17 × ▢ = 391

11.Work out 5/6 × 2/9, giving your answer in its simplest form.

12.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

13.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

14.Round 0.006852 to 2 significant figures.

15.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.