Number worksheet — GCSE Higher

1.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

2.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.

3.Round 0.006482 to 2 significant figures.

4.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

5.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

6.Write 0.325 as a fraction in its simplest form.

7.Work out ∛64.

8.Work out (−2)² − 3

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

10.Round 592.5 to the nearest 10.

11.Work out the value of 2⁻²

12.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

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

15.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?