Number worksheet — GCSE Higher

1.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.

2.2/3 of an amount of money is £30. Work out the amount.

3.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

4.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

5.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

6.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.

7.Write 0.325 as a fraction in its simplest form.

8.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?

9.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

10.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

11.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

12.Work out the value of 2⁻⁴

13.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

14.Work out 6² − 4².

15.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.