Number worksheet — GCSE Higher

1.Work out 5/6 × 2/9, giving your answer in its simplest form.

2.Which of these is written correctly in standard form?

3.Write 0.875 as a fraction in its simplest form.

4.Expand and simplify √3(2 + √12).

5.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.

6.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.

7.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

8.Work out the value of √49 + ∛27

9.Work out (−2)² − 3

10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

11.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

12.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

13.Work out how many factors 100 has.

14.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

15.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.