Number worksheet — GCSE Foundation

1.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.

2.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

3.Work out √(4 × 9)

4.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

5.Work out the highest common factor of 20 and 32.

6.Work out (−2)³ + (−3)² − (−4)

7.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

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

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

10.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.

11.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

12.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

13.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

14.Which of these is equal to 5³?

15.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.