Chapter 4 · Class 10 CBSE · Worksheet

Quadratic Equations Worksheet — Class 10 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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

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Sample Questions — Quadratic Equations

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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

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About This Worksheet

Topic	Quadratic Equations
Board	CBSE
Class	10
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

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Each SparkEd worksheet for Quadratic Equations contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

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