Class 8 Mathematics — Chapter 12: Factorisation
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 12, "Factorisation", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Factorisation" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Factorisation, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
Key concepts: Factorisation (Class 8 Mathematics)
This chapter covers factorising algebraic expressions by common factors, grouping, identities, and dividing one algebraic expression by another.
- Factorisation
- Writing an expression as a product of its factors — the reverse of expansion.
- Common factor method
- Take out the highest common factor of all terms, e.g. 6x + 9 = 3(2x + 3).
- Regrouping terms
- Rearrange and group terms so each group has a common factor, then factor again.
- Using identities
- Recognise a² ± 2ab + b² and a² − b² to factorise directly.
- Division of expressions
- Divide by factorising the numerator and cancelling common factors.
Key formulas — Factorisation
💡 Exam tips for Factorisation
- Always take out the common factor first before trying identities or grouping.
- Spot a² − b² and perfect-square patterns to factorise quickly.
Sample questions
Factorise 6x + 9:
GCD = 3.
Factorise x² + 6x + 9:
Perfect square.
Factorise x² + 5x + 6:
Two numbers: 2,3 (sum 5, product 6).
Factorisation — FAQs
What are the key concepts in Class 8 Mathematics Factorisation?+
This chapter covers factorising algebraic expressions by common factors, grouping, identities, and dividing one algebraic expression by another. Key ideas include Factorisation, Common factor method, Regrouping terms, Using identities, Division of expressions.
What does Class 8 Mathematics Chapter 12 (Factorisation) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Factorisation" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Factorisation" questions free to practise?+
Yes — sign in with Google to practise "Factorisation" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Factorisation" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 72 questions free
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