Number worksheet — GCSE Higher

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

2.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

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

6.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

7.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

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

10.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.

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

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

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

14.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

15.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.