Number worksheet — GCSE Foundation

1.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

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.Round 4,685 to the nearest 100.

4.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

5.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

6.3/5 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.

7.Which one of these statements about negative numbers is true?

8.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

9.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

10.In the number 3.472, work out the value of the digit 7.

11.Work out ∛64.

12.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

13.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

14.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

15.Work out −7 − (−3).