Number worksheet — GCSE Higher

1.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

2.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

4.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

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

6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

7.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

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

9.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.

10.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

11.After a price increase of 10%, a laptop costs £330. Work out the original price.

12.Work out √225 ÷ 3.

13.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?

14.Work out 35% of 180.

15.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.