Number worksheet — GCSE Higher

1.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

2.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

4.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

5.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

6.Write down the exact decimal value of the fraction 1/6.

7.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

9.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

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

11.Work out the value of 2⁻⁴

12.Last year a company made a profit of £5,200,000. Write this amount in standard form.

13.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

14.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.