Number worksheet — GCSE Higher

1.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.

2.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.

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

4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

5.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

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

7.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

8.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

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

10.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

11.Work out ⁴√81

12.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

13.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.

14.Work out √144 − 2 × 3 + √25

15.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.