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The NCERT Exemplar Class 11 Maths book is a valuable resource for students aiming to strengthen concepts and practice advanced questions beyond the NCERT textbook. While the textbook builds the foundation, the Exemplar focuses on application and higher-level thinking.
The questions are designed to improve analytical thinking, logical reasoning, and problem-solving skills that are important for school exams and future competitive exams like JEE.
Teachers often recommend Exemplar questions as they reflect higher-order thinking skills (HOTS) commonly asked in exams.
On this page, you’ll find chapter-wise NCERT Class 11 Maths Exemplar PDFs, sample questions with solutions, and smart preparation tips.
Download NCERT Exemplar Class 11 Maths
NCERT Exemplar Class 11: Overview
The NCERT Exemplar Class 11 Maths book is a supplementary practice resource published by NCERT to help students deepen their understanding of mathematical concepts.
As per the latest NCERT/CBSE curriculum, this book provides questions that go beyond the textbook and focus more on conceptual clarity and real-life application.
These questions are especially useful for students preparing for higher classes and competitive exams, as they build a strong mathematical foundation.
Key highlights of the NCERT Class 11 Maths Exemplar:
- Covers all chapters from the NCERT Class 11 Mathematics syllabus
- Includes MCQs, very short answer, short answer, and long answer questions
- Focuses on concept-based and application-oriented problems
- Improves logical reasoning and analytical thinking skills
- Recommended by teachers for advanced practice and exam readiness
Maths Chapter-wise Exemplar Questions
The NCERT Class 11 Maths Exemplar includes a wide variety of question types that test conceptual clarity and application skills rather than rote learning.
Below are some questions with solutions:
Chapter 1: Sets
Q: Let A = {1,2,3,4} and B = {3,4,5,6}. Then (A − B) ∪ (B − A) =
A) {1,2}
B) {5,6}
C) {1,2,5,6}
D) {3,4}
Answer: C
Explanation:
A − B = {1,2}, B − A = {5,6} → Union = {1,2,5,6}
Chapter 2: Relations and Functions
Q: Which of the following relations is both symmetric and transitive?
A) {(1,2), (2,1)}
B) {(1,1), (2,2)}
C) {(1,2), (2,3)}
D) {(1,2), (2,1), (1,1)}
Answer: B
Explanation:
Only identity relation satisfies both properties fully.
Chapter 3: Trigonometric Functions
Q: If sinθ + cosθ = √2, then θ =
A) 30°
B) 45°
C) 60°
D) 90°
Answer: B
Explanation:
sin45° + cos45° = √2
Chapter 4: Mathematical Induction
Q: The sum 1³ + 2³ + … + n³ equals:
A) n(n+1)/2
B) [n(n+1)/2]²
C) n²(n+1)/2
D) n(n+1)(2n+1)/6
Answer: B
Explanation: Known identity: sum of cubes = square of sum
Chapter 5: Complex Numbers
Q: If z = (1 + i)/(1 − i), then |z| =
A) 1
B) √2
C) 2
D) 0
Answer: A
Explanation:
Simplify → z = i → |z| = 1
Chapter 6: Linear Inequalities
Q: The solution of |x − 2| < 3 is:
A) −1 < x < 5
B) x > 5
C) x < −1
D) −5 < x < 1
Answer: A
Explanation:
|x−2| < 3 → −3 < x−2 < 3 → −1 < x < 5
Chapter 7: Permutations and Combinations
Q: Number of ways to arrange the letters of “LEVEL” is:
A) 120
B) 60
C) 30
D) 20
Answer: C
Explanation:
5! / (2!×2!) = 120/4 = 30
Chapter 8: Binomial Theorem
Q: The middle term in (1 + x)⁶ is:
A) 20x³
B) 15x³
C) 10x³
D) 6x³
Answer: A
Explanation:
Middle term = 6C3 x³ = 20x³
Chapter 9: Sequences and Series
Q: Sum of first n odd numbers is:
A) n²
B) n(n+1)
C) n(n−1)
D) n³
Answer: A
Explanation:
Standard result: sum of n odd numbers = n²
Chapter 10: Straight Lines
Q: Equation of line with slope 2 passing through (1,3):
A) y = 2x + 1
B) y = 2x − 1
C) y = x + 2
D) y = 3x + 1
Answer: A
Explanation:
y−3 = 2(x−1) → y = 2x + 1
Chapter 11: Conic Sections
Q: Eccentricity of a circle is:
A) 0
B) 1
C) >1
D) <1 but not 0
Answer: A
Explanation:
Circle has e = 0
Chapter 12: 3D Geometry
Q: Distance between (0,0,0) and (1,2,2):
A) 3
B) √5
C) √9
D) √6
Answer: A
Explanation:
Distance = √(1+4+4) = √9 = 3
Chapter 13: Limits and Derivatives
Q: lim x→0 (1 − cosx)/x² =
A) 0
B) 1/2
C) 1
D) 2
Answer: B
Explanation:
Standard limit = 1/2
Chapter 14: Mathematical Reasoning
Q: The negation of “All A are B” is:
A) Some A are B
B) No A are B
C) Some A are not B
D) All B are A
Answer: C
Explanation:
Logical negation rule
Chapter 15: Statistics
Q: If mean = 10 and number of observations = 5, sum =
A) 50
B) 15
C) 10
D) 5
Answer: A
Explanation:
Mean = sum/n → sum = 10×5 = 50
Chapter 16: Probability
Q: Probability of getting a prime number on a die:
A) 1/6
B) 1/2
C) 2/3
D) 1/3
Answer: B
Explanation:
Primes = {2,3,5} → 3/6 = 1/2
How to Create a Weekly Exemplar Practice Plan
Creating a weekly practice plan for NCERT Exemplar Maths helps you stay consistent without feeling overwhelmed. Instead of solving questions randomly, a structured approach ensures better understanding, regular revision, and steady improvement in problem-solving skills.
- Align with your syllabus: Choose chapters you are currently studying in school to avoid confusion and overload.
- Pick 2 chapters per week: Combine one strong and one weak chapter for balanced preparation.
- Divide practice across 5 days: Start with MCQs and short questions, then move to long and application-based problems.
- Set a fixed daily time slot: Dedicate 30-45 minutes daily only for exemplar practice.
- Categorize questions smartly: Mark them as easy, moderate, or difficult to track your progress.
- Maintain a mistake notebook: Write down tricky questions and understand the logic behind solutions.
- Use weekends for revision tests: Attempt mixed questions from different chapters to simulate exams.
- Focus on quality over quantity: Aim for concept clarity and accuracy instead of rushing to finish chapters.
Benefit of NCERT Exemplar Maths Class 11
The NCERT Exemplar Class 11 Maths book is designed to take your preparation a step ahead by offering more challenging and application-based questions. It not only helps you revise concepts but also trains your mind to think logically and solve problems in a structured way. Here are some key benefits of using it:
- Strengthens core concepts by pushing you beyond basic NCERT questions and helping you apply ideas in different ways, leading to deeper clarity in Maths topics.
- Improves problem-solving skills through higher-order thinking questions that require logical reasoning, step-by-step analysis, and smart approaches rather than direct formulas.
- Builds strong preparation for exams by exposing you to a variety of question types often asked in school tests and competitive exams like JEE.
- Enhances accuracy and speed as regular practice with challenging problems trains your mind to solve questions more efficiently under time pressure.
- Boosts confidence by gradually making tough questions feel easier, helping you approach exams with a clear strategy and better understanding of concepts.
FAQs
Q1. What is NCERT Exemplar for Class 11 Maths?
Ans. NCERT Exemplar Class 11 Maths is a supplementary book that contains advanced and application-based questions designed to improve conceptual understanding.
Q2. Are NCERT Exemplar questions important for Class 11 exams?
Ans. Yes, they help students practice higher-order thinking questions and improve exam performance.
Q3. Is the NCERT Class 11 Maths Exemplar available chapter-wise?
Ans. Yes, students can download it as a full book or chapter-wise PDFs.
Q4. Are exemplar questions tougher than NCERT textbook questions?
Ans. Yes, they are generally more challenging and focus on deeper understanding.
Q5. When should students solve NCERT Exemplar?
Ans. Students should solve it after completing the NCERT textbook to strengthen their concepts.
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