Number worksheet — GCSE Higher

1.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

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

3.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

4.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.

5.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.

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

7.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.

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

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.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

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

12.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.

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

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

15.Given that 2⁵ = 32, work out 2⁶.