Number worksheet — GCSE Foundation

1.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

2.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

4.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

5.Work out the value of 5³.

6.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

7.Work out 6² − 4².

8.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

9.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.

10.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

11.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

12.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

13.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.

14.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

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