Chapter 4 · Class 10 CBSE · Free Worksheet PDF

Quadratic Equations Sums for Class 10 — Free CBSE Worksheet PDF with Answers

Download a free printable quadratic equations worksheet for Class 10 CBSE with 30 practice questions covering solving quadratic equations by factorisation, quadratic formula, completing the square, and word problems. Includes complete answer key. CBSE-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 Sums for Class 10 — Practice Questions

Here are 8 sample quadratic equations sums from this Class 10 CBSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Which of the following expressions, when simplified, results in a quadratic equation?
A.(x + 1)² = 2x + 3
B.x(x + 2) = x² + 5
C.x³ - 4x² + 5 = 0
D.(x - 2)(x + 2) = x² - 4

Difficulty: Easy

Q2.If 'p' is a root of the quadratic equation ax² + bx + c = 0, which of the following statements must be true?
A.a + b + c = 0
B.ap² + bp + c = 0
C.p = -b / 2a
D.b² - 4ac > 0

Difficulty: Easy

Q3.Ravi is trying to solve the quadratic equation x² - 7x + 12 = 0 by factorization. He writes the first step as x² - 3x - 4x + 12 = 0. Which of the following statements about Ravi's first step is true?
A.Ravi has made a mistake in splitting the middle term.
B.Ravi has correctly split the middle term, and the next step is x(x-3) - 4(x-3) = 0.
C.Ravi should have split the middle term as -2x - 5x.
D.Ravi should have used the quadratic formula instead of factorization.

Difficulty: Easy

Q4.The product of two consecutive positive integers is 306. Which of the following quadratic equations represents this situation?
A.x² + x + 306 = 0
B.x² - x + 306 = 0
C.x² + x - 306 = 0
D.x² - x - 306 = 0

Difficulty: Easy

Q5.To complete the square for the expression x² - 10x, what constant term must be added?
A.-5
B.5
C.25
D.-25

Difficulty: Easy

Q6.Which of the following statements about the quadratic formula, x = [-b ± √(b² - 4ac)] / 2a, is correct?
A.It can only be used when factorization fails.
B.It provides real roots only when b² - 4ac < 0.
C.It can be used to find the roots of any quadratic equation, regardless of whether it can be factorized or not.
D.The term b² - 4ac is always positive.

Difficulty: Easy

Q7.For a quadratic equation ax² + bx + c = 0, where a ≠ 0, the discriminant is given by D = b² - 4ac. Which of the following statements about the discriminant is TRUE?
A.If D = 0, the equation has two distinct real roots.
B.If D < 0, the equation has two equal real roots.
C.If D > 0, the equation has no real roots.
D.If D = 0, the equation has two equal real roots.

Difficulty: Easy

Q8.For what value of 'k' does the quadratic equation 9x² + 3kx + 4 = 0 have equal roots?
A.±2
B.±3
C.±4
D.±5

Difficulty: Easy

Answer Key — Sample Questions+
Q1:(x + 1)² = 2x + 3
Q2:ap² + bp + c = 0
Q3:Ravi has correctly split the middle term, and the next step is x(x-3) - 4(x-3) = 0.
Q4:x² + x - 306 = 0
Q5:25
Q6:It can be used to find the roots of any quadratic equation, regardless of whether it can be factorized or not.
Q7:If D = 0, the equation has two equal real roots.
Q8:±4

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

About This Worksheet

TopicQuadratic Equations
BoardCBSE
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 sums for Class 10?+
You can download a free Quadratic Equations PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 practice questions (solving quadratic equations by factorisation, quadratic formula, completing the square, and word problems) at easy, medium, and hard levels with a complete answer key.
How many quadratic equations questions are in this Class 10 worksheet?+
This SparkEd worksheet for Quadratic Equations Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover solving quadratic equations by factorisation, quadratic formula, completing the square, and word problems. A fresh set is generated daily so students never repeat the same sheet.
Does the Quadratic Equations 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 worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Quadratic Equations 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.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.