Number worksheet — GCSE Foundation

2.Work out (−3) × 4 + 10

3.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

4.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

5.Work out 20 − 8 ÷ 2 + 1

6.Work out the value of √49 + ∛27

7.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

8.Work out 6² − 4².

9.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

10.Work out 3 × (−2)² − 5

11.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.

12.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.

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

14.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.