Number worksheet — GCSE Higher

1.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

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

3.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

4.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

5.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

6.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

7.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

8.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

9.Simplify √45.

10.Work out how many factors 36 has.

11.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

12.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

13.Work out (5 + 2) × 3²

14.Work out (2/3)² + (1/2)². Give your answer as a fraction.

15.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.