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🧾 CBSE · Class 10

Class 10 Maths: Quadratic Equations Worksheet (with Answers)

A free, print-ready worksheet on Quadratic Equations for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 19 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The standard form of a quadratic equation is:
    • (a) ax² + bx + c = 0, a = 0
    • (b) ax + b = 0
    • (c) ax² + bx + c = 0, a ≠ 0
    • (d) ax³ + bx + c = 0
  2. 2. The discriminant of 2x² − 4x + 1 = 0 is:
    • (a) −8
    • (b) 8
    • (c) 24
    • (d) 12
  3. 3. The roots of x² − 5x + 6 = 0 are:
    • (a) 1 and 6
    • (b) 5 and 6
    • (c) −2 and −3
    • (d) 2 and 3
  4. 4. If the discriminant D = 0, the equation has:
    • (a) no real roots
    • (b) two distinct real roots
    • (c) two equal real roots
    • (d) infinitely many roots
  5. 5. Write the discriminant of 3x² − 2x + 1 = 0.
  6. 6. How many roots can a quadratic equation have?
  7. 7. The product of two consecutive positive integers is 306. Form and solve the quadratic equation to find them.
View answers
  1. 1. (c) ax² + bx + c = 0, a ≠ 0 — A quadratic has degree 2 with a non-zero leading coefficient.
  2. 2. (b) 8 — D = (−4)² − 4(2)(1) = 16 − 8 = 8.
  3. 3. (d) 2 and 3 — (x − 2)(x − 3) = 0, so x = 2 or 3.
  4. 4. (c) two equal real roots — D = 0 gives two equal (coincident) real roots.
  5. 5. D = (−2)² − 4(3)(1) = 4 − 12 = −8.
  6. 6. At most two.
  7. 7. Let the integers be x and x + 1. Then x(x + 1) = 306 ⇒ x² + x − 306 = 0. Splitting: x² + 18x − 17x − 306 = (x + 18)(x − 17) = 0. The positive value is x = 17, so the integers are 17 and 18.
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How it works

Every question is drawn from StudyMatic’s own Maths bank for Quadratic Equations — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 10 Maths worksheet on Quadratic Equations free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Quadratic Equations worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Quadratic Equations”.