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The NCERT Exemplar Class 11 for Maths is an important resource to help students get extra questions practice for competitive exams along with finals. While the textbook works on the base, the exemplar focuses on application and high-level thinking questions.
The questions are designed to improve analytical thinking, logical reasoning, and problem solving ability of the students.
Download NCERT Exemplar Class 11 Maths
NCERT Exemplar Class 11: Overview
The NCERT Exemplar Class 11 Maths is a supplementary practice resource curated by NCERT to help students deepen their mathematical knowledge with challenging questions.
The exemplar provides questions that go beyond the textbook and focus more on competency based, activity based and HOTS questions.
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 Maths Exemplar for Class 11 includes different types of questions that test the level of thinking and application skills of the students. It tests the concepts understood in Maths textbook with real life scenarios given in the exemplar.
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) =
- (1,2,5,6)
- (1,2)
- (3,4)
- (5,6)
Answer: A
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?
- ((1,2), (2,3))
- ((1,2), (2,1))
- ((1,2), (2,1), (1,1))
- ((1,1), (2,2))
Answer: D
Explanation:
Only identity relation satisfies both properties fully.
Chapter 3: Trigonometric Functions
Q: If sinθ + cosθ = √2, then θ =
- 30°
- 45°
- 60°
- 90°
Answer: B
Explanation:
sin45° + cos45° = √2
Chapter 4: Mathematical Induction
Q: The sum 1³ + 2³ + … + n³ equals:
- [n(n+1)/2]²
- n²(n+1)/2
- n(n+1)/2
- n(n+1)(2n+1)/6
Answer: A
Explanation: Known identity: sum of cubes = square of sum
Chapter 5: Complex Numbers
Q: If z = (1 + i)/(1 − i), then |z| =
- 1
- √2
- 2
- 0
Answer: A
Explanation:
Simplify - z = i - |z| = 1
Chapter 6: Linear Inequalities
Q: The solution of |x − 2| < 3 is:
- x > 5
- −1 < x < 5
- x < −1
- −5 < x < 1
Answer: B
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:
- 20
- 30
- 60
- 120
Answer: B
Explanation:
5! / (2!×2!) = 120/4 = 30
Chapter 8: Binomial Theorem
Q: The middle term in (1 + x)⁶ is:
- 20x³
- 15x³
- 10x³
- 6x³
Answer: A
Explanation:
Middle term = 6C3 x³ = 20x³
Chapter 9: Sequences and Series
Q: Sum of first n odd numbers is:
- n²
- n(n+1)
- n(n−1)
- 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):
- y = 2x − 1
- y = 2x + 1
- y = x + 2
- y = 3x + 1
Answer: B
Explanation:
y−3 = 2(x−1) - y = 2x + 1
Chapter 11: Conic Sections
Q: Eccentricity of a circle is:
- <1 but not 0
- >1
- 1
- 0
Answer: D
Explanation:
Circle has e = 0
Chapter 12: 3D Geometry
Q: Distance between (0,0,0) and (1,2,2):
- 3
- √5
- √9
- √6
Answer: A
Explanation:
Distance = √(1+4+4) = √9 = 3
Chapter 13: Limits and Derivatives
Q: lim x-0 (1 − cosx)/x² =
- 2
- 1
- 1/2
- 0
Answer: C
Explanation:
Standard limit = 1/2
Chapter 14: Mathematical Reasoning
Q: The negation of “All A are B” is:
- Some A are B
- No A are B
- Some A are not B
- All B are A
Answer: C
Explanation:
Logical negation rule
Chapter 15: Statistics
Q: If mean = 10 and number of observations = 5, sum =
- 50
- 15
- 10
- 5
Answer: A
Explanation:
Mean = sum/n - sum = 10×5 = 50
Chapter 16: Probability
Q: Probability of getting a prime number on a die:
- 1/3
- 1/6
- 1/2
- 2/3
Answer: C
Explanation:
Primes = (2,3,5) - 3/6 = 1/2
More Resources for Class 11
CBSE Syllabus Class 11 Maths
Chapter-wise Notes Class 11 Maths
How to Create a Weekly Exemplar Practice Plan
It is crucial to create a weekly practice plan for Maths exemplar Class 11 as this will help with consistency. More importantly, weekly plans will break the monotonous pattern of just studying through NCERT textbooks and doing something challenging, like solving questions from exemplar.
- Choose chapters that you are currently studying from the textbook, making the retention of the chapter better.
- Pick one chapter whenever you practice from exemplary and give it 30-45 minutes dedicatedly. Picking a chapter for practice at once will help focus better.
- Go from easy to difficult questions, like that it would not become overwhelming.
- Do not confuse yourself by doing mixed practice in the weekdays. Keep mixed chapter and questions practice for the weekends when there is more time to focus.
Benefit of NCERT Exemplar Maths Class 11
Class 11 Maths Exemplar is designed to provide step by step support to the students without being too overwhelming for them. It not only helps in concept retention but also trains students’ minds to think logically and solve problems in a structured manner. Here are some of the benefits of using it:
- Increase grip on core concepts of maths by pushing you beyond basic NCERT questions.
- Improves problem solving skills through high-order thinking questions, and competency based questions with step-by-step analysis.
- Prepares students for competitive exams like JEE by providing challenging questions, which broaden the capacity of thinking.
- Enhances accuracy and speed as regular practice with critical problems trains the mind to solve questions efficiently.
- Increase confidence by providing questions from easy to difficult in an organised manner. This makes students start slow and get to the challenges at their own pace.
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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