Factorisation — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 112
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Jump to the 6 solved questions
Practise the most important Class 8 CBSE Mathematics questions from Chapter 112, "Factorisation". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Factorisation", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Factorisation, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Factorisation — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
Factorise 6x + 9:
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Answer: 3(2x + 3)
Explanation: GCD = 3.
- Q2 of 6Easy
Factorise x² − 9:
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Answer: (x−3)(x+3)
Explanation: Difference of squares.
- Q3 of 6Medium
Factorise ax + ay + bx + by:
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Answer: (a+b)(x+y)
Explanation: Group: a(x+y) + b(x+y).
- Q4 of 6Medium
Factorise x² + 6x + 9:
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Answer: (x+3)²
Explanation: Perfect square.
- Q5 of 6Hard
Divide: (12x³ − 8x² + 4x) ÷ 4x:
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Answer: 3x² − 2x + 1
Explanation: Divide each term by 4x: 3x² − 2x + 1.
- Q6 of 6Hard
Factorise x² + 5x + 6:
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Answer: (x+2)(x+3)
Explanation: Two numbers: 2,3 (sum 5, product 6).
Factorisation notes: key concepts (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.
Start this chapter free
You have 6 to try above. Sign in with Google (no card needed). You get 1 Easy + 1 Medium quiz on every chapter, free for good (up to 6 quizzes a day) — plus a free Hard quiz when you score 70%+ on a Medium quiz (1 per subject), and the formulas & exam tips.
This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start with the questions above. The full quiz opens here after.
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 112 (Factorisation) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Factorisation": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Factorisation" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Factorisation" MCQs available with answers?+
Yes. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Factorisation" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Factorisation (Class 8 Mathematics)?+
The questions that matter most test Factorisation, Common factor method, Regrouping terms, Using identities, Division of expressions. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Factorisation?+
Yes — Class 8 Mathematics Factorisation has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.
Are there question answers and extra questions for Factorisation (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Factorisation, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.