Number worksheet — GCSE Foundation

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

2.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

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

6.Round 6.283 to 1 significant figure.

7.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

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

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

10.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

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

12.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.

13.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

14.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

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