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Cambridge IGCSE Mathematics — Quadratic Equations Question Paper & Practice Test

25 syllabus-aligned questions on quadratic equations, factorisation, and the quadratic formula for Singapore's Cambridge IGCSE students. Preview 5 for free — sign up to generate, customize, and download the complete test as a printable PDF.

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Cambridge IGCSE Mathematics — Quadratic Equations
25-Question Practice Test · Mixed Difficulty · IGCSE-Aligned
MCQ
Q1.
Which of the following is the correct factorised form of x² + 5x + 6?
A) (x + 2)(x + 3)
B) (x + 1)(x + 6)
C) (x − 2)(x − 3)
D) (x + 6)(x − 1)
Correct Answer: A
Short Answer
Q2.
Write down the quadratic formula used to solve ax² + bx + c = 0, and state the condition on the discriminant for the equation to have two distinct real roots.
Structured Question
Q3.
Solve the equation 3x² − 5x − 2 = 0 using the quadratic formula, showing each step of your working.
Application Problem
Q4.
A rectangular garden has a length that is 3 m more than its width. If the area of the garden is 40 m², form a quadratic equation in terms of the width and find the dimensions of the garden.
MCQ
Q5.
For the quadratic equation 2x² + 4x + 2 = 0, the nature of the roots is:
A) Two distinct real roots
B) Two equal real roots
C) No real roots
D) Cannot be determined
Correct Answer: B

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