NCERT Exemplar Class 12 Maths PDF - Free Download - eSaral
NCERT Exemplar Class 12 Maths PDF is a free resource published by NCERT containing higher-order thinking problems across all 13 chapters — from Relations and Functions to Probability. Students can download each chapter's PDF individually below. This book is essential for CBSE board exam preparation and building the problem-solving depth needed for JEE Main.
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NCERT Exemplar Class 12 Maths is an official supplementary book published by the National Council of Educational Research and Training (NCERT). It is designed specifically to stretch students beyond rote learning by presenting problems that require deeper conceptual understanding, multi-step reasoning, and application of multiple topics together.
Unlike the standard NCERT textbook, which builds foundational understanding, the Exemplar book challenges students with MCQs, short answers, long answers, and fill-in-the-blank questions — all framed to mirror the kind of thinking tested in CBSE board exams and JEE Main.
NCERT Exemplar Class 12 Maths PDF Chapterwise
Below are all 13 chapters of the NCERT Exemplar Class 12 Maths book. Each PDF is sourced from NCERT's official publication and covers Multiple Choice Questions (single and multiple correct), Short Answer, Long Answer, and Objective-type problems.
| Chapter No. | Chapter Name | JEE Relevance |
|---|---|---|
| 1 | Relations and Functions | Moderate |
| 2 | Inverse Trigonometric Functions | High |
| 3 | Matrices | Moderate |
| 4 | Determinants | High |
| 5 | Continuity and Differentiability | Very High |
| 6 | Application of Derivatives | Very High |
| 7 | Integrals | Very High |
| 8 | Applications of Integrals | High |
| 9 | Differential Equations | High |
| 10 | Vector Algebra | High |
| 11 | Three-Dimensional Geometry | High |
| 12 | Linear Programming | Low–Moderate |
| 13 | Probability | Very High |
| Answers |
Why can Class 12 students not skip NCERT Exemplar
- CBSE board papers regularly include questions directly adapted from the NCERT Exemplar
- JEE Main questions frequently test the same conceptual depth found in Exemplar exercises
- Each chapter's Exemplar problems expose gaps in understanding that standard textbook exercises often miss
- Solving Exemplar builds the speed and accuracy needed for competitive exams
What the official syllabus says
According to NCERT's official curriculum framework, Class 12 Maths covers six broad areas: Algebra, Calculus, Vectors and 3D Geometry, Linear Programming, and Probability. The Exemplar book covers all of these with problems graded from moderate to great difficulty — making it the bridge between NCERT basics and JEE-level thinking.
For complete chapter-by-chapter solutions alongside the Exemplar, refer to the NCERT Solutions for Class 12 on eSaral, prepared by IIT Bombay faculty.
How is the NCERT Exemplar Different from the Standard NCERT Textbook?
Students often ask whether they should focus on the NCERT textbook or the Exemplar book. The answer is: both, in the right order.
NCERT Exemplar vs NCERT Textbook vs NCERT Solutions — Quick Comparison
| Feature | NCERT Textbook | NCERT Exemplar | NCERT Solutions |
|---|---|---|---|
| Purpose | Concept building | Higher-order application | Step-by-step answers |
| Difficulty Level | Beginner to moderate | Moderate to advanced | Mirrors source book |
| Question Types | Solved examples + exercises | MCQ, SA, LA, fill-in-blank | Detailed worked solutions |
| Board Exam Weight | High (direct questions) | High (adapted questions) | Reference for marking |
| JEE Main Relevance | Foundational | Directly relevant | Useful for verification |
| Best Used | First, to learn concepts | Second, to test depth | Throughout, to self-check |
Complete the NCERT textbook exercises for a chapter before touching the Exemplar. Students who reverse this order often find Exemplar problems frustrating because the foundational method hasn't been internalised yet. Think of Exemplar as your "stress test" — you only run it after the engine is built.
How to Use NCERT Exemplar Effectively for Board + JEE Prep
Step-by-step study method for maximum marks
Many students download the Exemplar PDF but use it incorrectly — attempting all problems in one sitting without a structured approach. Here is the method that works:
Step 1 — Cover the NCERT textbook first. Complete all solved examples and exercise questions from the standard Class 12 Maths textbook. Use NCERT Solutions for Class 12 Maths to verify your approach.
Step 2 — Attempt MCQs from Exemplar. The multiple-choice questions in Exemplar are a fast diagnostic. If you get less than 70% correct, revisit the textbook chapter before proceeding.
Step 3 — Solve Short Answer questions. These are the most board-exam-aligned question type. Practice writing answers in the structured format CBSE rewards marks for.
Step 4 — Attempt Long Answer questions under timed conditions. Give yourself the same time per question you would have in the actual exam.
Step 5 — Review answers critically. Don't just check if the final answer is correct — check every step. One wrong intermediate step in CBSE board exams costs marks even if the final answer is right.
What to do with chapters you find hard
If Continuity and Differentiability (Chapter 5) or Integrals (Chapter 7) are giving you trouble, the problem is almost always in Class 11 prerequisites. Review NCERT Solutions for Class 11 Maths — specifically limits, trigonometry, and logarithmic functions — before returning to the Class 12 Exemplar.
The biggest mistake I see Class 12 students make is treating Exemplar as a "last 2 weeks before exam" resource. Use it chapter-by-chapter as you finish each topic — not as a revision dump at the end. Students in eSaral's batches who follow this chapter-aligned method consistently score 15–20 marks higher in boards than those who cram it late.
For step-by-step worked solutions to every exercise in the Class 12 Maths textbook, explore NCERT Solutions for Class 12 Maths — fully solved by IIT Bombay faculty on eSaral.
If you are also preparing for Class 12 Physics alongside Maths, the NCERT Solutions for Class 12 Physics follow the same chapter-aligned format.
Bookmark this page to return to any chapterwise PDF download whenever you start a new topic. Share it with classmates who are looking for the same resource — it saves everyone time finding the right file.
Also Read,
Maths Class 12 Chapterwise notes
NCERT Class 12 Maths Book PDF
If you have any Confusion related to the NCERT Exemplar Class 12 Maths PDF, then feel free to ask in the comments section down below.
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Frequently Asked Questions
Find answers to common questions.
How many questions are in NCERT Exemplar Class 12 Maths?
The total question count varies by chapter, but across all 13 chapters, the NCERT Exemplar Class 12 Maths book contains approximately 500–600 questions in total — including MCQs (single and multiple correct), Short Answer, Long Answer, and Objective-type. Chapters like Integrals and Probability have the highest question counts given their exam weight.
Does NCERT Exemplar Class 12 Maths cover JEE Advanced level questions?
No. NCERT Exemplar is aligned to CBSE board and JEE Main difficulty levels. JEE Advanced requires significantly deeper problem-solving, multi-concept integration, and speed. For JEE Advanced, students need dedicated problem books and guided preparation beyond Exemplar — such as the module-based teaching available in eSaral's JEE courses delivered by Kota-trained IIT Bombay faculty.
Should Class 12 students solve NCERT Exemplar or previous year papers first?
Solve NCERT Exemplar before moving to previous year papers. The Exemplar builds the foundational problem-solving skills — particularly in Calculus, Vectors, and Probability — that previous year JEE Main and board papers then test in a different format. Think of Exemplar as training and previous year papers as the mock match.
Which is harder — NCERT Exemplar or NCERT textbook?
NCERT Exemplar is significantly harder than the standard textbook. The textbook is designed for concept introduction and basic application. The Exemplar includes MCQs with tricky distractors, multi-concept long answer questions, and problems that require you to connect ideas across different chapters. For JEE preparation, this higher difficulty is exactly what you need.
Is NCERT Exemplar Class 12 Maths enough for board exams?
NCERT Exemplar is not a replacement for the standard NCERT textbook — it is a supplement. For CBSE board exams, you need both. The textbook builds your concept base and covers most direct-question types. The Exemplar then prepares you for the higher-order application and reasoning questions that appear in the 40–50 mark section of the board paper. Together, they cover the full range of board exam difficulty