Number worksheet — GCSE Foundation

1.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

2.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

3.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

4.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

5.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

6.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

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

8.Work out 100 − 4 × 5²

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

10.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

11.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

12.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

13.Work out 2/5 + 1/4, giving your answer in its simplest form.

14.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

15.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.