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3 Mark Questions · original practice

Class 11 Mathematics 3 Mark Questions

3 Mark Questions for Class 11 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

Practice set

Q413 Mark3 marksModerateRevision pick

Explain Sets in about three points, with one example.

Answer

Subset, power set. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Sets in about three points, with one example.

Answer

Union, intersection, complement. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Sets in about three points, with one example.

Answer

De Morgan. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Sets in about three points, with one example.

Answer

Finite vs infinite. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Sets in about three points, with one example.

Answer

Sets is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sets · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Relations and Functions in about three points, with one example.

Answer

Reflexive, symmetric, transitive. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Function in about three points, with one example.

Answer

Function: unique image. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Relations and Functions in about three points, with one example.

Answer

Domain, range, codomain. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Relations and Functions in about three points, with one example.

Answer

One-one, onto. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Relations and Functions in about three points, with one example.

Answer

Relations and Functions is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Trigonometric Functions in about three points, with one example.

Answer

sin²x+cos²x=1. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Trigonometric Functions in about three points, with one example.

Answer

General solution ideas as in chapter. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Trigonometric Functions in about three points, with one example.

Answer

Signs in four quadrants. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Trigonometric Functions in about three points, with one example.

Answer

Graphs of sin, cos, tan. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Trigonometric Functions in about three points, with one example.

Answer

Trigonometric Functions is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Complex Numbers and Quadratic Equations in about three points, with one example.

Answer

|z|=√(a²+b²). Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Complex Numbers and Quadratic Equations in about three points, with one example.

Answer

Conjugate. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Complex Numbers and Quadratic Equations in about three points, with one example.

Answer

Argand plane. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Complex Numbers and Quadratic Equations in about three points, with one example.

Answer

Square root of a complex number as taught. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Complex Numbers and Quadratic Equations in about three points, with one example.

Answer

Complex Numbers and Quadratic Equations is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Linear Inequalities in about three points, with one example.

Answer

Graphical solution in plane. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Linear Inequalities in about three points, with one example.

Answer

System of inequalities. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Linear Inequalities in about three points, with one example.

Answer

Interval notation. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Linear Inequalities in about three points, with one example.

Answer

Closed vs open. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Linear Inequalities in about three points, with one example.

Answer

Linear Inequalities is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Linear Inequalities · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Permutations and Combinations in about three points, with one example.

Answer

nPr = n!/(n−r)!. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Permutations and Combinations in about three points, with one example.

Answer

nCr = n! / [r!(n−r)!]. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Permutations and Combinations in about three points, with one example.

Answer

nCr = nC(n−r). Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Word problems in about three points, with one example.

Answer

Word problems: digits, committees. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Permutations and Combinations in about three points, with one example.

Answer

Permutations and Combinations is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Permutations and Combinations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Binomial Theorem in about three points, with one example.

Answer

General term Tr+1 = nCr a^{n−r} b^r. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Binomial Theorem in about three points, with one example.

Answer

Middle term. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Binomial Theorem in about three points, with one example.

Answer

Pascal. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Binomial Theorem in about three points, with one example.

Answer

Applications. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Binomial Theorem in about three points, with one example.

Answer

Binomial Theorem is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Binomial Theorem · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Sequences and Series in about three points, with one example.

Answer

AM ≥ GM for positives. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Sequences and Series in about three points, with one example.

Answer

Σn, Σn², Σn³. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Sequences and Series in about three points, with one example.

Answer

Infinite GP |r|<1. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Sequences and Series in about three points, with one example.

Answer

Word problems. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Sequences and Series in about three points, with one example.

Answer

Sequences and Series is an NCERT chapter taught in CBSE Class 11 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

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.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 11 · Subject: Mathematics · Chapter: Sequences and Series · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

FAQs

Are these official CBSE board questions?

No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.

Will these questions appear in the board exam?

Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.

Is the chapter list the latest NCERT list?

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.

Where are NCERT solutions?

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.

What is the suggested URL pattern?

Hub /cbse/, then /cbse/class-11/, then subject and chapter slugs.

Why is this a separate URL?

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.

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