Number worksheet — GCSE Higher

1.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

2.Work out the value of (1/3)⁻²

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

5.Write down the symbol that makes this statement true: −2/3 ___ −5/6

6.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

7.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

8.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.

9.Write 0.06 as a fraction in its simplest form.

10.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

11.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.

12.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.

13.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

14.Write 0.875 as a fraction in its simplest form.

15.Which of these decimals lies between 1/4 and 2/5?