Number worksheet — GCSE Higher

1.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

3.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

4.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

6.2/3 of an amount of money is £30. Work out the amount.

7.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.

8.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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

11.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.

12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

13.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

14.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.

15.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.