Number worksheet — GCSE Higher

1.Which of these is written correctly in standard form?

2.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

3.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

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

5.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.

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

7.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

8.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

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

10.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

11.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.

12.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

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

15.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.