Number worksheet — GCSE Foundation

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

3.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

4.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

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

6.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.

7.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

8.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

9.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

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

11.Which of these is written correctly in standard form?

12.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

13.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

14.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.

15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.