Quadratic Equations
39 CBSE Class 10 Mathematics practice questions with answers and worked solutions.
About this chapter
- Difficulty: 18 easy · 20 moderate · 1 hard.
- Most-asked subtopics: Solving a Quadratic Equation by Factorisation (14), Identifying and Forming Quadratic Equations (14), Nature of Roots and the Discriminant (11).
- Updated 18 September 2026.
#1Identifying and Forming Quadratic Equations
#2Identifying and Forming Quadratic Equations
#3Solving a Quadratic Equation by Factorisation
#4Solving a Quadratic Equation by Factorisation
#5Solving a Quadratic Equation by Factorisation
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#6Solving a Quadratic Equation by Factorisation
#7Nature of Roots and the Discriminant
#8Nature of Roots and the Discriminant
#9Nature of Roots and the Discriminant
- Set · 8 questionsCheck whether the following are quadratic equations :
#10Identifying and Forming Quadratic Equations
#11Identifying and Forming Quadratic Equations
#12Identifying and Forming Quadratic Equations
#13Identifying and Forming Quadratic Equations
#14Identifying and Forming Quadratic Equations
#15Identifying and Forming Quadratic Equations
#16Identifying and Forming Quadratic Equations
#17Identifying and Forming Quadratic Equations
- Set · 4 questionsRepresent the following situations in the form of quadratic equations :
#18Identifying and Forming Quadratic Equations
#19Identifying and Forming Quadratic Equations
#20Identifying and Forming Quadratic Equations
#21Identifying and Forming Quadratic Equations
- Set · 5 questionsFind the roots of the following quadratic equations by factorisation:
#22Solving a Quadratic Equation by Factorisation
#23Solving a Quadratic Equation by Factorisation
#24Solving a Quadratic Equation by Factorisation
#25Solving a Quadratic Equation by Factorisation
#26Solving a Quadratic Equation by Factorisation
#27Solving a Quadratic Equation by Factorisation
#28Solving a Quadratic Equation by Factorisation
#29Solving a Quadratic Equation by Factorisation
#30Solving a Quadratic Equation by Factorisation
#31Solving a Quadratic Equation by Factorisation
- Set · 3 questionsFind the nature of the roots of the following quadratic equations. If the real roots exist, find them:
#32Nature of Roots and the Discriminant
#33Nature of Roots and the Discriminant
#34Nature of Roots and the Discriminant
- Set · 2 questionsFind the values of for each of the following quadratic equations, so that they have two equal roots.
#35Nature of Roots and the Discriminant
#36Nature of Roots and the Discriminant
#37Nature of Roots and the Discriminant
#38Nature of Roots and the Discriminant
#39Nature of Roots and the Discriminant