Number worksheet — GCSE Foundation

1.Write 45,000 in standard form.

2.Work out the value of 2⁻²

3.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

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

6.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

7.Work out 3 + 4 × (−2).

8.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

9.Given that 2⁵ = 32, work out 2⁶.

10.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

11.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

12.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

13.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

14.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.

15.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.