Number worksheet — GCSE Higher

1.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

2.Work out 3.7 × 24.

3.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

4.2/3 of an amount of money is £30. Work out the amount.

5.Round 0.006852 to 2 significant figures.

6.Given that 2⁵ = 32, work out 2⁶.

7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

8.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

9.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

10.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?

11.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

12.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.

13.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

14.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.

15.Write 7/12 as a decimal, showing clearly which digit is recurring.