Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 5
18 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
4 marks · Hard
Answer and see the solution →Solve the equation by factorising, and write down all possible values of as exact values.
Question 2
5 marks · Hard
Answer and see the solution →A garden is to be designed with a rectangular lawn of width m and length m. A path of uniform width m is built all around the lawn. The total area (lawn plus path) is m.
(a)[1 mark]Show that .
(b)[4 marks]Given that the width of the path, , is 2 m, form and solve a quadratic equation to find the dimensions of the lawn.
Question 3
4 marks · Hard
Answer and see the solution →Rearrange the formula to make the subject, expressing your answer in terms of . Show the necessary algebraic steps.