Number worksheet — GCSE Higher

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

2.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.

3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

4.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

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

6.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.

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

8.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

9.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.

10.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.

11.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

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

13.Work out 5⁰ + 5¹ + 5²

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

15.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09