Number worksheet — GCSE Foundation

1.Which of these numbers lies between −4 and −1 on a number line?

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

3.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

4.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

5.Which statement about the number 51 is correct?

6.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

7.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.

8.Work out 1/2 of 1/4 of 80.

9.Work out √144

10.Round 6.283 to 1 significant figure.

11.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

12.Which of these numbers is the largest: −9, −7, −4, −2?

13.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.

14.Work out (−36) ÷ (−6) × 2

15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.