Number worksheet — GCSE Higher

1.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.

2.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.

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

4.Given that 2⁵ = 32, work out 2⁶.

5.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

6.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

7.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

8.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.

9.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

10.2/3 of an amount of money is £30. Work out the amount.

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

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

13.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

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

15.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.