Number worksheet — GCSE Higher

1.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

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

3.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

4.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.

5.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

6.Write 0.35 as a fraction in its lowest terms.

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

8.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

9.Work out 5⁰ + 5¹ + 5²

10.Work out the value of √(16 + 9)

11.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

12.Work out 6² − 4².

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.A country has an area of 25,000,000 hectares. Write this area in standard form.

15.Work out 3.7 × 24.