Number worksheet — GCSE Higher

1.2/3 of an amount of money is £30. Work out the amount.

2.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

3.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

4.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

5.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

6.Write 7/12 as a decimal, showing clearly which digit is recurring.

7.Work out 36 ÷ (2 × 3)

8.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

9.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

10.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

11.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

12.Work out ⁴√81

13.Round 0.006482 to 2 significant figures.

14.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

15.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.