3 Mark Questions · original practice
3 Mark Questions for Class 12 Mathematics. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
One-one, onto. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Composite functions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Invertible function. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Binary operations if in your edition. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Relations and Functions is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Principal value branches. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Properties as retained. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Simplification. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Graphs. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Inverse Trigonometric Functions is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Addition and multiplication rules. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Transpose. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Symmetric and skew-symmetric. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Elementary operations for inverse. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Matrices is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Minors and cofactors. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
A⁻¹=(1/|A|) adj A. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Consistent systems. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Area of triangle. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Determinants is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Chain, product, quotient, implicit. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
log and exponential derivatives. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Rolle and LMVT. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Second order derivatives. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Continuity and Differentiability is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Tangent and normal. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Increasing/decreasing. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
First and second derivative tests. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Word problems: box, wire, medicine. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Application of Derivatives is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Substitution, parts, partial fractions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Definite integral as limit of sum. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Properties of definite integrals. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FTC. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Area between curves. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Vertical vs horizontal strips. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Standard curves: line, circle, parabola, ellipse. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Sketch first. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Application of Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
Hub /cbse/, then /cbse/class-12/, then subject and chapter slugs.
So students searching for “3 Mark Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
After this page, use these three links — do not open a random page.
More sets from the same cluster — stay on this topic.
Timed papers with a scorecard — start any time, then return to a related quiz above.
