Number worksheet — GCSE Higher

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

2.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

3.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

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

5.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

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

7.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

8.Work out (5 + 2) × 3²

9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

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

11.Simplify √45.

12.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

13.Work out (−6) + (−4) × 3

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

15.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.