Number worksheet — GCSE Higher

1.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

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

3.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.

4.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

5.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

6.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

7.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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

9.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

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

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

13.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

14.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

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