Number worksheet — GCSE Higher

1.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

2.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

3.Work out how many factors 36 has.

4.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

5.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

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

7.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.

8.Write 5,000,000 in standard form.

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

10.√700 lies between which two consecutive integers?

11.Work out 36 ÷ (2 × 3)

12.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

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.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.

15.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.