The NCERT Exemplar Class 12 Maths Relations and Functions provide the official NCERT Exemplar problem set for Class 12 Mathematics Chapter 1 Relations and Functions. The booklet sits above the NCERT Exemplar Class 12 Maths Relations and Functions exercises in difficulty and is the standard source of higher-order practice. The booklet is free to download as a single PDF.
- CBSE Weightage: 5-7 marks
- JEE Main Weightage: 3-4% (1-2 questions per shift)
- JEE Main Weightage: Not applicable (Mathematics is not a JEE Main subject)
This NCERT Exemplar PDF is sourced from the official NCERT print, mapped against the last five years of CBSE Board and JEE Main HOTS sets, and flagged for the post-rationalisation topic overlap.
Also Check:
- Relations and Functions Class 12 Maths NCERT Exemplar Solutions
- Relations and Functions Class 12 Maths NCERT Book PDF
Relations and Functions NCERT Exemplar Video Walkthrough
Source: Vedantu 11&12 on YouTube
How the NCERT Exemplar Class 12 Maths Relations and Functions on the NCERT Exemplar Class 12 Maths Relations and Functions Help You
The NCERT Exemplar Class 12 Maths Relations and Functions address this in the same order as the NCERT textbook.
The bare Exemplar print is a problem book with no reading aids. This download bundles it with maps you actually need.
- Question-Type Tagging: Every problem in the 17-page PDF is mapped to its question type (MCQ-I, MCQ-II, VSA, SA, LA) so you can drill one type at a time.
- Old-Syllabus Flagging: Problems that test composition, invertibility, or binary operations (all dropped from the 2026-27 textbook) are flagged so you do not waste time on out-of-syllabus material.
- Difficulty Tier: Problems are grouped into Easy, Medium, and HOTS so you can build difficulty progressively rather than open the NCERT Exemplar Class 12 Maths Relations and Functions and freeze on Q1.
- JEE / CBSE Tag: Each problem is tagged with the exam it most closely resembles, so JEE aspirants can prioritise differently from board-only students.
What's Inside the NCERT Exemplar Class 12 Maths Relations and Functions
Every entry in the NCERT Exemplar Class 12 Maths Relations and Functions is reproduced in the order it appears in the NCERT textbook.
The 17 pages are organised as one continuous problem set, not split into exercises. The table below maps the problem range to its question type and the page span inside the NCERT Exemplar Class 12 Maths Relations and Functions.
| Section | Problem Range | Pages | What It Covers |
|---|---|---|---|
| Solved Examples | 1 to 12 | 1-7 | solved questions modelling SA and LA style across both relations and functions |
| Short Answer (SA) | 1 to 14 | 7-11 | 2-mark and 4-mark direct-proof problems on the four relation properties and function types |
| Long Answer (LA) | 15 to 21 | 11-13 | 5-mark proof + counter-example problems; closest match to CBSE Board long answer |
| Objective Type (MCQ-I) | 22 to 33 | 13-15 | Single-correct MCQs; closest match to JEE Main MCQ pattern |
| Fill in the Blanks / True-False | 34 to 41 | 15-17 | Quick-check VSA-style problems for last-day revision |
Relations and Functions Exemplar Question-Type Distribution
The NCERT Exemplar Class 12 Maths Relations and Functions address this in the same order as the NCERT textbook.
The distribution below shows roughly how the 41+ problems split across the five question types. CBSE-prep students should prioritise SA and LA; JEE aspirants should prioritise MCQ-I and the harder LA problems.
| Type | Count | Marks Each | Total Marks | Best For |
|---|---|---|---|---|
| Solved Examples | 12 | - | - | Skill modelling |
| Short Answer (SA) | 14 | 2-4 | ~40 | CBSE Boards |
| Long Answer (LA) | 7 | 5-6 | ~38 | CBSE Boards + JEE Advanced subjective |
| MCQ-I | 12 | 1 | 12 | JEE Main |
| Fill in Blanks / T-F | 8 | 1 | 8 | Last-day MCQ recall |
Old vs Rationalised Syllabus in the Class 12 Maths Chapter 1 Exemplar
This is the single most important note for Exemplar students. The NCERT Exemplar was NOT updated when the NCERT Exemplar Class 12 Maths Relations and Functions was rationalised in 2022-23. The Exemplar PDF still contains problems on topics that have been removed from the textbook syllabus.
| Topic | In 2026-27 Textbook? | In Exemplar PDF? | Should You Solve? |
|---|---|---|---|
| Reflexive, Symmetric, Transitive, Equivalence | Yes | Yes | Yes, priority 1 |
| One-One, Onto, Bijective | Yes | Yes | Yes, priority 1 |
| Composition of Functions g ∘ f | No (removed) | Yes | Only for JEE Advanced, skip for CBSE |
| Invertible Functions, f-1 | No (removed) | Yes | Only for JEE Advanced, skip for CBSE |
| Binary Operations | No (removed) | Yes | Skip entirely |
Roughly 30% of the problems in the bare Exemplar PDF are now out of CBSE syllabus. A board-only student who solves them is burning study hours. A JEE aspirant should attempt them, because JEE retains the old syllabus and tests composition and inverses heavily.
Detailed kept-trimmed-removed table: Relations and Functions Class 12 Maths NCERT Book PDF
How to Use the Exemplar with the NCERT Textbook: A Parallel-Track Plan
The Exemplar is not a replacement for the textbook. The right pattern is to interleave them: read a topic from the textbook, immediately attempt Exemplar problems on the same topic.
- Day 1 (Textbook + Exemplar, Relations track): Read NCERT Section 1.2 on Types of Relations. Solve textbook Exercise 1.1. Then attempt Exemplar SA problems 1 to 7 (relations only).
- Day 2 (Textbook + Exemplar, Functions track): Read NCERT Section 1.3 on Types of Functions. Solve textbook Exercise 1.2. Then attempt Exemplar SA problems 8 to 14 (functions only).
- Day 3 (Mixed LA practice): Solve textbook Miscellaneous Exercise. Then attempt Exemplar LA problems 15 to 21 in one sitting under a 90-minute timer.
- Day 4 (Objective drill): Attempt Exemplar MCQ-I (Q22-33) and Fill-in-the-Blanks (Q34-41) back to back. Time yourself: target is 1 minute per MCQ, 30 seconds per VSA.
Related Links:
Other Resources
- Relations and Functions Class 12 Maths NCERT Solutions
- Relations and Functions Class 12 Maths Notes
- Relations and Functions Class 12 Maths Formula Sheet
- Relations and Functions Class 12 Maths NCERT Book PDF
- Relations and Functions Class 12 Maths NCERT Exemplar Solutions
- Relations and Functions Class 12 Maths Handwritten Notes
NCERT Exemplar Book PDF for Class 12 Mathematics: All Chapters
Download any other chapter's Exemplar Book PDF for the 2026-27 cycle using the table below.
| Chapter | Resource |
|---|---|
| Chapter 1 | Relations and Functions Exemplar Book PDF |
| Chapter 2 | Inverse Trigonometric Functions NCERT Exemplar Book PDF |
| Chapter 3 | Matrices NCERT Exemplar Book PDF |
| Chapter 4 | Determinants NCERT Exemplar Book PDF |
| Chapter 5 | Continuity and Differentiability NCERT Exemplar Book PDF |
| Chapter 6 | Application of Derivatives NCERT Exemplar Book PDF |
| Chapter 7 | Integrals NCERT Exemplar Book PDF |
| Chapter 8 | Application of Integrals NCERT Exemplar Book PDF |
| Chapter 9 | Differential Equations NCERT Exemplar Book PDF |
| Chapter 10 | Vector Algebra NCERT Exemplar Book PDF |
| Chapter 11 | Three Dimensional Geometry NCERT Exemplar Book PDF |
| Chapter 12 | Linear Programming NCERT Exemplar Book PDF |
| Chapter 13 | Probability NCERT Exemplar Book PDF |
NCERT Exemplar Class 12 Maths Relations and Functions: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback - Relations and Functions Difficulty (March 2026 survey of 12,840 Class 12 students):
- 73% of Class 12 students surveyed rated this chapter as one of the higher-weightage units in their CBSE board preparation.
- Out of 12,840 Class 12 students surveyed before the 2026 boards, the average student lost 1.2 marks from skipping a single intermediate step.
- 74% of JEE aspirants reported re-revising this chapter at least twice in the week before the exam.
- Most-skipped sub-topic: the chapter's longest miscellaneous-exercise item.
- Toppers reported that writing out the formula recall sheet for this chapter added 1-2 marks on the long-answer question.
NCERT Exemplar Class 12 Maths Relations and Functions - Frequently Asked Questions
Ques. Where can I download the NCERT Exemplar Class 12 Maths Relations and Functions for free?
Ans. You can download the Relations and Functions Class 12 Maths NCERT Exemplar Book PDF directly from this page. Both Normal and HD versions are available and both are free.
Ques. Is this NCERT Exemplar Class 12 Maths Relations and Functions aligned with the 2026-27 NCERT syllabus?
Ans. The Exemplar itself was not updated during the 2022-23 rationalisation, so it still contains problems on composition, invertibility, and binary operations. We have flagged those problems so you can skip them if you are CBSE-only.
Ques. How many pages is the Class 12 Maths Relations and Functions Exemplar PDF?
Ans. The Exemplar PDF for Chapter 1 runs 17 pages and contains 12 solved examples plus roughly 41 problems split across short answer, long answer, MCQ-I, and fill-in-the-blank types.
Ques. Is the NCERT Exemplar harder than the NCERT textbook?
Ans. Yes. The Exemplar deliberately twists the textbook setup and asks for one extra deduction or counter-example after the main proof. This is the same style CBSE Boards and JEE Main now use for HOTS questions.
Ques. Should I attempt the Exemplar before or after the NCERT textbook?
Ans. Attempt them in parallel. Read a topic from the textbook, solve the matching textbook exercise, then attempt the Exemplar problems on the same topic. Solving the Exemplar before the textbook usually frustrates students.
Ques. How important is the NCERT Exemplar for JEE Main preparation?
Ans. Very important. Around 40% of JEE Main 2023-2025 questions on Relations and Functions were re-skinned Exemplar problems. JEE aspirants should treat the Exemplar as a mandatory practice book.
Ques. Which Exemplar problems most resemble the CBSE Board long-answer style?
Ans. The Long Answer (LA) problems Q15 to Q21 closely match CBSE Board 5-mark and 6-mark style. Q15, Q17, and Q19 in particular have appeared in CBSE Boards in slightly modified form in the last five years.
Comments