July 11, 2026

Competitive Wisdom

Quadratic Equation MCQ for Class 10 – 50 Practice Questions with Answers & Explanations

Quadratic equations are one of the most important and scoring chapters in Class 10 Mathematics. To master this topic, students need regular practice, clear understanding of concepts, and exposure to different types of exam-oriented questions.

This Quadratic Equation MCQ mock test is specially created for Class 10 students who want to strengthen their fundamentals and improve their exam confidence. The questions are carefully aligned with the Class 10 syllabus, and designed in the MCQ pattern followed in board exams and competitive tests.

This helps students not only check their answers but also understand why a particular option is correct.

Take the Mock Test Now!

Whether you are preparing for:

This test follows the Multiple-Choice Question (MCQ) format, similar to what you will encounter in the actual entrance exams. It will help you:

  • School exams
  • Board exams
  • Scholarship or entrance tests

this quadratic equation MCQ practice set will help you revise effectively and avoid common mistakes.

1. 
The value of k for which x² + kx + 16 = 0 has two real roots is:

2. 
Solve: 3x² − 15 = 0

3. 
The equation x² − 9x + 20 = 0 factors to:

4. 
The roots of x² − 2x + 1 = 0 are:

5. 
If roots of x² + 7x + 12 = 0 are α and β, then αβ is:

6. 
The quadratic formula is:

7. 
Roots of x² − 1 = 0 are:

8. 
Which of the following is a quadratic equation?

9. 
If D < 0, roots are:

10. 
Nature of roots when discriminant is zero:

11. 
The roots of x² − 10x + 24 = 0 are:

12. 
Roots of x² + 1 = 0 are:

13. 
Which equation has no real roots?

14. 
The product of the roots of x² − 8x + 15 = 0 is:

15. 
For the equation x² + kx + 9 = 0 to have unequal real roots, k must satisfy:

16. 
For x² + bx + 16 = 0 to have equal roots:

17. 
Solve: x² = 16

18. 
How many real roots does x² + 6x + 25 = 0 have?

19. 
Roots of x(x − 4) = 0 are:

20. 
Number of real roots of x² − 2x − 3 = 0:

21. 
The value of ‘a’ in quadratic equation ax² + 5x + 1 = 0 cannot be:

22. 
If one root of x² − 5x + 6 = 0 is 2, the other root is:

23. 
For which value of k does x² + 2kx + 9 = 0 have equal roots?

24. 
The quadratic formula is:

25. 
For which value of k does x² + kx + 9 = 0 have equal roots?

26. 
Solve: x² + 5x + 6 = 0

27. 
The sum of roots of x² + 6x + 5 = 0 is:

28. 
The standard form of a quadratic equation is:

29. 
Quadratic equation formed if roots are 3 and −5 is:

30. 
Which method is best for x² − 3x − 10 = 0?

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