Rahul factorized the expression 12a²b + 18ab² as follows: Step 1: Found the greatest common factor (GCF) of 12a²b and 18ab² as 6ab. Step 2: Divided each term by the GCF: (12a²b) ÷ (6ab) = 2a and (18ab²) ÷ (6ab) = 3b. Step 3: Wrote the factored form as 6ab(2a + 3b). Which of the following statements is true regarding Rahul's solution?

Step 2 is incorrect because (18ab²) ÷ (6ab) should be 3ab.

Chapter 6 (Balbharati) · Class 8 Maharashtra SSC · Free Worksheet PDF

Factorisation (अवयवीकरण) Sums for Class 8 — Free Maharashtra SSC Worksheet PDF with Answers

Q: Where can I download free factorisation (अवयवीकरण) sums for Class 8?

You can download a free Factorisation (अवयवीकरण) PDF worksheet for Class 8 Maharashtra SSC right here on SparkEd. The worksheet includes 30 practice questions (factorisation (अवयवीकरण) concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.

Q: How many factorisation (अवयवीकरण) questions are in this Class 8 worksheet?

This SparkEd worksheet for Factorisation (अवयवीकरण) Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover factorisation (अवयवीकरण) concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.

Q: Does the Factorisation (अवयवीकरण) worksheet for Class 8 include answers?

Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.

Q: Is this factorisation (अवयवीकरण) worksheet aligned to Maharashtra SSC syllabus?

Yes. This worksheet is specifically designed for Class 8 Maharashtra SSC students and aligned to the 2025-26 Maharashtra SSC syllabus. All questions follow the Maharashtra SSC exam pattern and difficulty level.

Q: Can I print this Factorisation (अवयवीकरण) worksheet?

Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.

Q: How is this worksheet different from NCERT textbook exercises?

SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.

Q: Does this worksheet include factorisation (अवयवीकरण) word problems?

Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for Maharashtra SSC exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

Download a free printable factorisation (अवयवीकरण) worksheet for Class 8 Maharashtra SSC with 30 practice questions covering factorisation (अवयवीकरण) concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. Maharashtra SSC-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Factorisation (अवयवीकरण) Sums for Class 8 — Practice Questions

Here are 8 sample factorisation (अवयवीकरण) sums from this Class 8 Maharashtra SSC worksheet. Download the full PDF for all 30 questions with answers.

Q1.

Which of the following statements best describes the process of factorization of an algebraic expression?

It is the process of multiplying two or more algebraic expressions to get a single expression.

It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).

It is the process of finding the value of a variable in an algebraic expression.

It is the process of adding or subtracting like terms in an algebraic expression.

Difficulty: Easy

Q2.

Factorize the expression 6xy - 9x.

3x(2y - 3x)

3x(2y - 3)

3(2xy - 3x)

3x(2y + 3)

Difficulty: Easy

Q3.

Rahul factorized the expression 12a²b + 18ab² as follows: Step 1: Found the greatest common factor (GCF) of 12a²b and 18ab² as 6ab. Step 2: Divided each term by the GCF: (12a²b) \div (6ab) = 2a and (18ab²) \div (6ab) = 3b. Step 3: Wrote the factored form as 6ab(2a + 3b). Which of the following statements is true regarding Rahul's solution?

Step 1 is incorrect because the GCF should be 3ab.

Step 2 is incorrect because (18ab²) \div (6ab) should be 3ab.

Step 3 is incorrect because the terms inside the bracket should be subtracted.

Rahul's solution is completely correct.

Difficulty: Easy

Q4.

Factorize the expression ab + bc + ax + cx.

(a + c)(b + x)

(a + b)(c + x)

(a + x)(b + c)

(a + c)(b - x)

Difficulty: Easy

Q5.

Consider the expression 7p²q - 14pq². Two students, Priya and Rohan, tried to factorize it. Priya's factorization: 7pq(p - 2q) Rohan's factorization: 7(p²q - 2pq²) Which of the following statements is true?

Only Priya's factorization is correct as she took out the greatest common factor.

Only Rohan's factorization is correct as he only took out the numerical common factor.

Both Priya's and Rohan's factorizations are correct and complete.

Both Priya's and Rohan's factorizations are incorrect.

Difficulty: Easy

Q6.

Factorize the expression 5x³ - 10x² + 25x.

5x(x² - 2x + 5)

5(x³ - 2x² + 5x)

x(5x² - 10x + 25)

5x(x² + 2x - 5)

Difficulty: Easy

Q7.

If (x - 3) is a factor of the expression x² - 8x + 15, which of the following must be the other factor?

(x + 5)

(x - 5)

(x + 3)

(x - 8)

Difficulty: Easy

Q8.

Factorize the expression 5(x - 2y) - 3z(x - 2y).

(x - 2y)(5 - 3z)

(x - 2y)(5 + 3z)

(5 - 3z)(x + 2y)

(5 + 3z)(x - 2y)

Difficulty: Easy

Answer Key — Sample Questions+

Q1:It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).

Q2:3x(2y - 3)

Q3:Rahul's solution is completely correct.

Q4:(a + x)(b + c)

Q5:Only Priya's factorization is correct as she took out the greatest common factor.

Q6:5x(x² - 2x + 5)

Q7:(x - 5)

Q8:(x - 2y)(5 - 3z)

Download the full PDF for all 30 answers with step-by-step solutions.