Number worksheet — GCSE Foundation

1.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.

2.2/3 of an amount of money is £30. Work out the amount.

3.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

4.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.

5.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.

6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

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

8.3/5 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.

9.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.

10.Given that 2⁵ = 32, work out 2⁶.

11.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

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

14.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.

15.After a price increase of 10%, a laptop costs £330. Work out the original price.