Chapter 2 (Balbharati) · Class 10 Maharashtra SSC · Free Worksheet PDF

Quadratic Equations (वर्ग समीकरणे) Sums for Class 10 — Free Maharashtra SSC Worksheet PDF with Answers

Download a free printable quadratic equations (वर्ग समीकरणे) worksheet for Class 10 Maharashtra SSC with 30 practice questions covering quadratic equations (वर्ग समीकरणे) 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 Quadratic Equations (वर्ग समीकरणे) Sums for Class 10 — Practice Questions

Here are 8 sample quadratic equations (वर्ग समीकरणे) sums from this Class 10 Maharashtra SSC worksheet. Download the full PDF for all 30 questions with answers.

Q1.खालीलपैकी कोणते वर्ग समीकरण आहे?
A.A) x3−2x2+5=0x^3 - 2x^2 + 5 = 0
B.B) x2+3x−4=0x^2 + 3\sqrt{x} - 4 = 0
C.C) (x−1)(x+2)=0(x - 1)(x + 2) = 0
D.D) 1x2+x=5\frac{1}{x^2} + x = 5

Difficulty: Easy

Q2.समीकरण 3x2−5x=−23x^2 - 5x = -2 ला ax2+bx+c=0ax^2 + bx + c = 0 या सामान्य रूपात लिहिल्यास a,b,ca, b, c च्या किमती अनुक्रमे काय असतील?
A.A) a=3,b=5,c=2a=3, b=5, c=2
B.B) a=3,b=−5,c=2a=3, b=-5, c=2
C.C) a=3,b=−5,c=−2a=3, b=-5, c=-2
D.D) a=3,b=5,c=−2a=3, b=5, c=-2

Difficulty: Easy

Q3.जर x=2x = 2 हे समीकरण 2x2+kx−6=02x^2 + kx - 6 = 0 चे एक मूळ (root) असेल, तर kk ची किंमत किती असेल?
A.A) 1
B.B) -1
C.C) 2
D.D) -2

Difficulty: Easy

Q4.खालीलपैकी कोणते विधान सत्य आहे?
A.A) प्रत्येक वर्ग समीकरणाला दोन भिन्न मूळे असतात.
B.B) x2=25x^2 = 25 या समीकरणाची मूळे फक्त x=5x = 5 आहे.
C.C) जर ax2+bx+c=0ax^2 + bx + c = 0 या समीकरणात c=0c=0 असेल, तर एक मूळ नेहमी 00 असते.
D.D) वर्ग समीकरणात चलाची सर्वात मोठी घातांक नेहमी 1 असते.

Difficulty: Easy

Q5.पूर्ण वर्ग पद्धत वापरून x2+6x+5=0x^2 + 6x + 5 = 0 हे समीकरण सोडवण्यासाठी, समीकरणाच्या दोन्ही बाजूंना कोणते पद मिळवावे लागेल?
A.A) 3
B.B) 9
C.C) -5
D.D) 6

Difficulty: Easy

Q6.जर वर्ग समीकरण ax2+bx+c=0ax^2 + bx + c = 0 (जेथे a≠0a \ne 0) साठी, xx ची किंमत शोधण्याचे सूत्र x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} असेल, तर b2−4acb^2 - 4ac ला काय म्हणतात?
A.A) मूळ (Root)
B.B) गुणांक (Coefficient)
C.C) निश्चयक (Discriminant)
D.D) वर्गमूळ (Square Root)

Difficulty: Easy

Q7.प्रियाच्या वडिलांचे वय प्रियाच्या वयाच्या दुप्पट पेक्षा 4 वर्षांनी जास्त आहे. जर त्यांच्या वयांचा गुणाकार 160 असेल, तर हे गणितीय स्वरूपात वर्ग समीकरण वापरून कसे मांडले जाईल (प्रियाचे वय xx मानून)?
A.A) x(2x+4)=160x(2x + 4) = 160
B.B) x2+4x=160x^2 + 4x = 160
C.C) 2x2+4=1602x^2 + 4 = 160
D.D) 2x+4=1602x + 4 = 160

Difficulty: Easy

Q8.गणेशने x2−7x+12=0x^2 - 7x + 12 = 0 हे समीकरण अवयव पद्धतीने सोडवताना, मध्यपदाचे विभाजन −3x-3x आणि −4x-4x असे केले. त्याची पुढील पायरी कोणती असेल?
A.A) x(x−3)−4(x−3)=0x(x - 3) - 4(x - 3) = 0
B.B) x(x+3)−4(x−3)=0x(x + 3) - 4(x - 3) = 0
C.C) x(x−3)+4(x−3)=0x(x - 3) + 4(x - 3) = 0
D.D) x(x−4)−3(x+4)=0x(x - 4) - 3(x + 4) = 0

Difficulty: Easy

Answer Key — Sample Questions+
Q1:C) $(x - 1)(x + 2) = 0$
Q2:B) $a=3, b=-5, c=2$
Q3:B) -1
Q4:C) जर $ax^2 + bx + c = 0$ या समीकरणात $c=0$ असेल, तर एक मूळ नेहमी $0$ असते.
Q5:B) 9
Q6:C) निश्चयक (Discriminant)
Q7:A) $x(2x + 4) = 160$
Q8:A) $x(x - 3) - 4(x - 3) = 0$

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About This Worksheet

TopicQuadratic Equations (वर्ग समीकरणे)
BoardMaharashtra SSC
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free quadratic equations (वर्ग समीकरणे) sums for Class 10?+
You can download a free Quadratic Equations (वर्ग समीकरणे) PDF worksheet for Class 10 Maharashtra SSC right here on SparkEd. The worksheet includes 30 practice questions (quadratic equations (वर्ग समीकरणे) concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many quadratic equations (वर्ग समीकरणे) questions are in this Class 10 worksheet?+
This SparkEd worksheet for Quadratic Equations (वर्ग समीकरणे) Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover quadratic equations (वर्ग समीकरणे) 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 Quadratic Equations (वर्ग समीकरणे) worksheet for Class 10 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 quadratic equations (वर्ग समीकरणे) worksheet aligned to Maharashtra SSC syllabus?+
Yes. This worksheet is specifically designed for Class 10 Maharashtra SSC students and aligned to the 2025-26 Maharashtra SSC syllabus. All questions follow the Maharashtra SSC exam pattern and difficulty level.
Can I print this Quadratic Equations (वर्ग समीकरणे) 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 quadratic equations (वर्ग समीकरणे) 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.

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