अध्याय 13 · Class 8 UP Board · Free Worksheet PDF

Factorization Sums for Class 8 — Free UP Board Worksheet PDF with Answers

Download a free printable factorization worksheet for Class 8 UP Board with 30 practice questions covering factorization concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-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 Factorization Sums for Class 8 — Practice Questions

Here are 8 sample factorization sums from this Class 8 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.व्यंजक 6xy+9x6xy + 9x के गुणनखंड क्या हैं?
A.3x(2y+3)3x(2y + 3)
B.3x(2y)3x(2y)
C.3x(3y+2)3x(3y + 2)
D.3(2xy+3x)3(2xy + 3x)

Difficulty: Easy

Q2.व्यंजक 7a2b−21ab27a^2b - 21ab^2 का गुणनखंडन करें।
A.7ab(a−3b)7ab(a - 3b)
B.7ab(a−3)7ab(a - 3)
C.7a2b(1−3b)7a^2b(1 - 3b)
D.21ab(a−b)21ab(a - b)

Difficulty: Easy

Q3.व्यंजक 12p3q2−18p2q3+24pq12p^3q^2 - 18p^2q^3 + 24pq का गुणनखंडन करने पर क्या प्राप्त होता है?
A.6pq(2p2q−3pq2+4)6pq(2p^2q - 3pq^2 + 4)
B.6p2q2(2p−3q+4)6p^2q^2(2p - 3q + 4)
C.12pq(p^2q - rac{3}{2}pq^2 + 2)
D.6pq(2p2q−3pq2+4pq)6pq(2p^2q - 3pq^2 + 4pq)

Difficulty: Easy

Q4.व्यंजक ax+bx+ay+byax + bx + ay + by का गुणनखंडन कीजिए।
A.(a+b)(x+y)(a+b)(x+y)
B.(a+x)(b+y)(a+x)(b+y)
C.(a+y)(b+x)(a+y)(b+x)
D.(a+b)(x−y)(a+b)(x-y)

Difficulty: Easy

Q5.व्यंजक x2+xy−2x−2yx^2 + xy - 2x - 2y का गुणनखंडन कीजिए।
A.(x+y)(x−2)(x+y)(x-2)
B.(x−y)(x+2)(x-y)(x+2)
C.(x+y)(x+2)(x+y)(x+2)
D.(x−y)(x−2)(x-y)(x-2)

Difficulty: Easy

Q6.व्यंजक 3x2−483x^2 - 48 का गुणनखंडन करें।
A.3(x−4)(x+4)3(x-4)(x+4)
B.3(x2−16)3(x^2-16)
C.3(x−16)(x+16)3(x-16)(x+16)
D.3(x−4)23(x-4)^2

Difficulty: Easy

Q7.व्यंजक x3−xx^3 - x का गुणनखंडन कीजिए।
A.x(x−1)(x+1)x(x-1)(x+1)
B.x(x2−1)x(x^2-1)
C.(x−1)(x+1)(x-1)(x+1)
D.x2(x−1)x^2(x-1)

Difficulty: Easy

Q8.व्यंजक 14ab+21a14ab + 21a का गुणनखंडन कीजिए।
A.7a(2b+3)7a(2b+3)
B.7b(2a+3)7b(2a+3)
C.7(2ab+3a)7(2ab+3a)
D.a(14b+21)a(14b+21)

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$3x(2y + 3)$
Q2:$7ab(a - 3b)$
Q3:$6pq(2p^2q - 3pq^2 + 4)$
Q4:$(a+b)(x+y)$
Q5:$(x+y)(x-2)$
Q6:$3(x-4)(x+4)$
Q7:$x(x-1)(x+1)$
Q8:$7a(2b+3)$

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

About This Worksheet

TopicFactorization
BoardUP Board
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free factorization sums for Class 8?+
You can download a free Factorization PDF worksheet for Class 8 UP Board right here on SparkEd. The worksheet includes 30 practice questions (factorization concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many factorization questions are in this Class 8 worksheet?+
This SparkEd worksheet for Factorization Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover factorization concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Factorization 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.
Is this factorization worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 8 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Factorization 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.
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.
Does this worksheet include factorization word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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