Number worksheet — GCSE Foundation

1.Work out (−36) ÷ (−6) × 2

2.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

3.Work out the lowest common multiple of 9 and 15.

4.Write down the symbol that makes this statement true: −2/3 ___ −5/6

5.Work out the value of 6² − 4³.

6.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

7.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

8.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

9.Work out 35% of 180.

10.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

11.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

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

13.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer 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.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?