Number worksheet — GCSE Foundation

1.After a price increase of 10%, a laptop costs £330. Work out the original price.

2.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

3.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

4.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

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

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

7.3.4 × 10⁵ is written as an ordinary number. Work out this number.

8.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

9.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

10.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

11.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

12.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

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

14.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

15.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0