Class 9 Maths Unit 4: Factorization and Algebraic Manipulation
Free MCQ practice for this FBISE unit. Three tests, each with 1 minute per question, automatic checking and an explanation after every answer.
For 9th class Federal Board (FBISE) students: Maths Chapter 4, Factorization and Algebraic Manipulation, online MCQ test.
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Notes
Animated slidesShort animated slides that explain the unit one idea at a time, plus a printable PDF. Read these first, then practise.
Beginner Practice
15 questions · 15 minCore definitions and basic skills with clear, direct questions.
Advanced Practice
20 questions · 20 minTougher, conceptual questions with real-life contexts and 'why is this wrong?' items.
Exam Ready
25 questions · 25 minA mix of question styles and difficulty for final revision. Practice only, not an official paper.
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Open a question to see the options and the explained answer. Then take the full test to practise under time.
Sample question 1
What is the factored form of a<sup>2</sup> − b<sup>2</sup>?
- (a − b)(a<sup>2</sup> + ab + b<sup>2</sup>)
- (a + b)(a − b)
- (a + b)<sup>2</sup>
- (a − b)<sup>2</sup>
Answer: B. The difference of two squares factorizes as a<sup>2</sup> − b<sup>2</sup> = (a + b)(a − b).
Sample question 2
What does it mean that 5x and 3xy are factors of 15x<sup>2</sup>y?
- Their sum is 15x<sup>2</sup>y
- They are equal to each other
- Their product is 15x<sup>2</sup>y
- One of them divides the other
Answer: C. 5x × 3xy = 15x<sup>2</sup>y, so they are factors of it.
Sample question 3
Factorize x<sup>3</sup> + 27.
- (x − 3)(x<sup>2</sup> + 3x + 9)
- (x + 3)(x<sup>2</sup> + 3x + 9)
- (x + 3)<sup>3</sup>
- (x + 3)(x<sup>2</sup> − 3x + 9)
Answer: D. x<sup>3</sup> + 27 = x<sup>3</sup> + 3<sup>3</sup> = (x + 3)(x<sup>2</sup> − 3x + 9).