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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 slides

Short 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 min

Core definitions and basic skills with clear, direct questions.

Advanced Practice

20 questions · 20 min

Tougher, conceptual questions with real-life contexts and 'why is this wrong?' items.

Exam Ready

25 questions · 25 min

A mix of question styles and difficulty for final revision. Practice only, not an official paper.

Try a few questions

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 a2 − b2?

  1. (a − b)(a2 + ab + b2)
  2. (a + b)(a − b)
  3. (a + b)2
  4. (a − b)2

Answer: B. The difference of two squares factorizes as a2 − b2 = (a + b)(a − b).

Sample question 2

What does it mean that 5x and 3xy are factors of 15x2y?

  1. Their sum is 15x2y
  2. They are equal to each other
  3. Their product is 15x2y
  4. One of them divides the other

Answer: C. 5x × 3xy = 15x2y, so they are factors of it.

Sample question 3

Factorize x3 + 27.

  1. (x − 3)(x2 + 3x + 9)
  2. (x + 3)(x2 + 3x + 9)
  3. (x + 3)3
  4. (x + 3)(x2 − 3x + 9)

Answer: D. x3 + 27 = x3 + 33 = (x + 3)(x2 − 3x + 9).