Number worksheet — GCSE Higher

1.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.

2.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

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

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

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

7.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

8.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

9.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

10.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.

11.Work out the value of 2⁻²

12.Work out the value of √49 + ∛27

13.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

14.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.

15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.