Number worksheet — GCSE Foundation

1.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

2.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

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

4.Write 0.36 as a fraction in its simplest form.

5.Work out (−36) ÷ (−6) × 2

6.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

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

8.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

10.Work out 2⁵.

11.3/5 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.

12.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

13.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35