Number worksheet — GCSE Higher

1.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

2.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.

3.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

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

5.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

6.A country has an area of 25,000,000 hectares. Write this area in standard form.

7.Which of these decimals lies between 1/4 and 2/5?

8.Write 0.36 as a fraction in its simplest form.

9.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

10.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

11.Write 7/12 as a decimal, showing clearly which digit is recurring.

12.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

13.Write 5/6 as a decimal, showing clearly which digit recurs.

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

15.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.