The Class 12 Maths NCERT Exemplar Book PDF (2026-27 edition) is the official NCERT Exemplar Problems publication for Class 12 Maths - a separate book from the main NCERT textbook, with harder MCQs, very short answer questions, short answer questions, and long answer problems that go beyond the regular back-exercise. Used widely by JEE / CUET aspirants for the kind of conceptual depth the back-exercise alone does not test.
- Chapters covered: 13 chapters, mirroring the main NCERT chapter numbering
- Format: chapter-wise PDFs from the official NCERT Exemplar Problems publication
- Question types: MCQ (single correct), MCQ-II (multi-correct), VSA, SA, LA - the standard Exemplar question taxonomy
- Exam alignment: CBSE Class 12 Maths theory paper (80 marks), JEE Main, JEE Advanced, CUET-UG Mathematics
The Class 12 Maths NCERT Exemplar Book PDFs hosted here are the official NCERT publication, downloaded from ncert.nic.in and indexed for easy chapter-wise navigation.
Class 12 Maths Exemplar Book PDF: All Chapters
Every chapter of the 2026-27 Class 12 Maths NCERT Exemplar, downloadable as a free PDF. The list runs in NCERT chapter order.
Why Download the Class 12 Maths NCERT Exemplar Book PDF?
The Exemplar is the bridge between the NCERT back-exercise and the JEE / CUET question paper. The problems are harder, the question types are more varied, and the conceptual depth matches what competitive exams actually test.
- Beyond the back-exercise: the Exemplar problems sit at a higher difficulty level than the regular NCERT back-exercise; they are the next step once the regular back-exercise feels easy.
- Five question types per chapter: MCQ (single correct), MCQ-II (multi-correct), VSA (1-2 mark), SA (3 mark), LA (5 mark) - the same taxonomy CBSE uses on the board paper plus the MCQ-II type JEE uses.
- Used by JEE / CUET coaching institutes: the Exemplar problems are routine reference material in most coaching-institute Class 12 modules.
- Chapter-wise download: download only the chapters you need - useful when your weekly test focuses on a specific chapter.
- Free and official: the same NCERT Exemplar Problems publication you would buy in print, downloadable as a free PDF.
- Pairs with the worked Exemplar Solutions: open the Exemplar Solutions alongside this PDF when you want to check your answer or see a recommended working pattern.
What 16,420 students told us about their Class 12 Maths Exemplar usage
Source: Magnet Brains on YouTube
Class 12 Maths Topic Map (Exemplar Coverage)
How the 13 Exemplar chapters group into the CBSE units below. The Exemplar tracks the main NCERT chapter sequence so every chapter pairs one-to-one with the textbook.
| Unit | Chapters | What this unit Exemplar covers |
|---|---|---|
| I. Relations and Functions | Ch 1 Relations and Functions · Ch 2 Inverse Trigonometric Functions | Types of relations (reflexive, symmetric, transitive), composition of functions, invertible functions, principal value branches of inverse trigonometric functions. |
| II. Algebra | Ch 3 Matrices · Ch 4 Determinants | Matrix algebra (addition, multiplication, transpose, inverse), elementary row operations, determinants, area of a triangle by determinants, adjoint and inverse, solution of linear equations by matrix method. |
| III. Calculus | Ch 5, Ch 6, Ch 7, Ch 8, Ch 9 | Continuity, differentiability, chain rule, logarithmic and exponential differentiation, mean value theorems, rate of change, increasing-decreasing functions, maxima and minima, indefinite and definite integrals, fundamental theorem of calculus, applications to area under curves, formation and solution of differential equations. |
| IV. Vectors and Three-Dimensional Geometry | Ch 10 Vector Algebra · Ch 11 Three Dimensional Geometry | Vector algebra (addition, scalar and vector product), direction cosines, equation of a line in space (vector and Cartesian forms), equation of a plane, distance of a point from a plane, angle between lines and planes. |
| V. Linear Programming | Ch 12 Linear Programming | Linear programming problems in two variables, graphical method, feasible region, optimisation of objective function (maximisation or minimisation). |
| VI. Probability | Ch 13 Probability | Conditional probability, multiplication theorem, independent events, total probability, Bayes' theorem, random variables and probability distributions, mean of a random variable. |
NCERT Class 12 Maths Deleted Syllabus 2026-27
The NCERT 2026-27 syllabus for Class 12 Maths has been rationalised by the examination authority to reduce content load for CBSE Boards, JEE Main and JEE Advanced. The drops listed below are officially out of the 2026-27 question paper, so skip these while revising.
| Chapter | Deleted Topics (2026-27) |
|---|---|
| Relations and Functions (Ch 1) | Composition of functions, invertible functions (specific sub-parts removed); domain and range retained. |
| Inverse Trigonometric Functions (Ch 2) | Properties involving sum / difference of two inverse functions - some identities removed. |
| Determinants (Ch 4) | Properties of determinants (some sub-cases removed); cofactor expansion retained. |
| Continuity and Differentiability (Ch 5) | Rolle's theorem - the geometric interpretation only; Mean Value Theorem retained. |
| Application of Integrals (Ch 8) | Area between two curves - some special-case integrals removed; area under one curve retained. |
| Linear Programming (Ch 12) | Different types of LPP - manufacturing, diet, transportation (some sub-types removed); graphical method retained. |
| Probability (Ch 13) | Bernoulli trials and binomial distribution - parts of the conditional-probability section trimmed. |
The chapter-wise resources linked in the All Chapters index above already flag every deleted line inline so you don't waste revision hours on dropped topics.
Exemplar vs Regular NCERT Back-Exercise: When to Use Which
The Exemplar and the NCERT back-exercise cover the same syllabus but at different depths. Pick by what you actually need next.
| Use case | NCERT back-exercise | Exemplar |
|---|---|---|
| First attempt of a freshly-read chapter | Recommended | Too hard at this stage |
| CBSE board preparation (concepts + standard application) | Sufficient | Optional |
| JEE / CUET preparation | Necessary but not sufficient | Recommended |
| JEE Advanced preparation | Necessary | Strongly recommended |
| CUET-UG conceptual MCQs | Sufficient | Recommended for the MCQ-II practice |
| Final-week revision (recall density) | Functional | Too long; skip |
EXEMPLAR BOOK PDF · CLASS 12 MATHS
Class 12 Maths - Exam Weightage
Class 12 Maths contributes roughly 240 marks combined across CBSE Boards, JEE Main and JEE Advanced - Maths is not tested in NEET, but it is the single largest engineering-entrance scoring block.
Class 12 Maths Exemplar Weightage Snapshot (CBSE 2026 Theory Paper)
The Exemplar problems cluster around the same chapter weightages as the main NCERT. Calculus delivers 35 marks of the 80-mark theory paper, which is also where most of the Exemplar's challenging problems sit.
| Unit | Chapters | CBSE Marks (2026) | JEE Main 2025 Qs |
|---|---|---|---|
| Calculus | Ch 5, 6, 7, 8, 9 | 35 marks | 8-10 |
| Vectors and 3D Geometry | Ch 10, 11 | 14 marks | 3-4 |
| Algebra | Ch 3, 4 | 10 marks | 2-3 |
| Relations and Functions | Ch 1, 2 | 8 marks | 2 |
| Probability | Ch 13 | 8 marks | 1-2 |
| Linear Programming | Ch 12 | 5 marks | 0-1 |
Class 12 Maths CBSE 2026 Paper Pattern Snapshot
The 80-mark CBSE Class 12 Maths theory paper runs 3 hours and is split into five sections. Knowing the section-by-section weight is half the revision plan; once you know which section a chapter feeds, you can pick the right resource (Notes for Section A recall, NCERT Solutions for Sections C and D working).
- Section A (20 questions of 1 mark each): MCQs and assertion-reason questions; covers definitions, identities, and direct-substitution numericals.
- Section B (5 questions of 2 marks each): Very short answer; one-step problems testing formula recall and standard procedures.
- Section C (6 questions of 3 marks each): Short answer; integration, derivatives, matrix-determinant evaluations, simple probability.
- Section D (4 questions of 5 marks each): Long answer; differential equations, definite integral applications, 3D-geometry combined problems.
- Section E (3 case-study questions of 4 marks each): Application of calculus or probability to a real-world scenario; sub-parts test reading comprehension as much as maths.
The 80-mark theory paper combined with the 20-mark internal assessment (practical, project, viva) makes the 100-mark scheme. Internal assessment marks scale linearly with lab-notebook completeness and viva preparation; the theory paper is where the chapter-wise NCERT preparation actually shows.
Where to Start with the Class 12 Maths Exemplar
Start with the six high-weightage chapters where Exemplar practice delivers the biggest marks gain:
- Chapter 7, Integrals (part of the 35-mark Calculus block): the largest single chapter in the syllabus. Integration techniques and the fundamental theorem are the highest-yield revision focus.
- Chapter 5, Continuity and Differentiability (Calculus block): the gateway to the rest of Calculus. The chain rule and implicit differentiation problems repeat across JEE Main and CUET.
- Chapter 6, Application of Derivatives (Calculus block): rate of change, maxima-minima, and tangent-normal problems are CBSE 5-mark question staples.
- Chapter 11, Three Dimensional Geometry (8 marks within the 14-mark Vectors+3D block): equation-of-plane and shortest-distance problems are routine LA slots.
- Chapter 9, Differential Equations (Calculus block): formation and solution of first-order linear differential equations are board-paper staples.
- Chapter 13, Probability (8 marks): Bayes' theorem and conditional probability problems repeat year after year.
Class 12 Maths Exemplar Book PDF: Formats and Languages
- HD print-ready PDF: high-resolution scan of the official NCERT Exemplar print, suitable for printing as a problem booklet.
- Standard download PDF: compressed file size for phone reading.
- Hindi-medium Exemplar PDF: the official Hindi edition of the NCERT Exemplar Problems publication.
- Combined all-chapters PDF: the complete Class 12 Maths Exemplar as a single file.
- Chapter-wise navigation: bookmark-enabled PDFs so you can jump straight to MCQ, MCQ-II, VSA, SA, or LA sections within a chapter.
How the Class 12 Maths Exemplar Book Pairs with the Other Resources
- Class 12 Maths Exemplar Solutions: the worked answers to every problem in this Exemplar PDF; open alongside whenever you want to check your method.
- Class 12 Maths NCERT Solutions: the worked back-exercise; do these first, then move to the Exemplar.
- Class 12 Maths Notes: the concept layer; refer back when a tough Exemplar problem reveals a concept gap.
- Class 12 Maths Formula Sheet: keep this open while solving Exemplar problems so formula recall is one glance away.
- Class 12 Maths NCERT Book PDF: the main textbook; the Exemplar references the same chapter numbering.
- Class 12 Maths Handwritten Notes: notebook-style revision; useful between Exemplar attempts.
How to Use the Class 12 Maths Exemplar Most Effectively
5-STEP METHOD · CBSE TOPPER ROUTINE
How to Use the Exemplar Book PDF - Class 12 Maths
- 1Read the chapter first. Open the NCERT Book PDF or chapter Notes - the resource assumes you understand the concepts already.
- 2Attempt each question on your own. Write the working in a notebook before opening the answer - passive reading does not build exam fluency.
- 3Compare your working to the resource. Mark every step where your approach differed - those are the spots that lose marks on the board paper.
- 4Flag questions taking over 7 minutes. These go on the re-attempt list for the final-week revision pass.
- 5Pair Exemplar problems with the Exemplar Solutions PDF. Attempt first, peek only when stuck for 10+ minutes - the Solutions PDF on the sibling listing carries the verified working.
- After finishing each chapter's back-exercise: attempt the Exemplar's MCQ section first (10-15 minutes per chapter), then move to MCQ-II and SA.
- 2 months before JEE / CUET: attempt the SA and LA sections of every high-weightage chapter. Mark every problem you cannot crack in under 10 minutes for re-attempt.
- Last 4 weeks before the boards: revisit the marked problems and verify your solutions against the Exemplar Solutions.
- Skip the Exemplar in the final week: Exemplar problems are too long for night-before revision; switch to the Notes and Formula Sheet at that point.
Common Mistakes Class 12 Maths Students Make with the Exemplar
- Sign errors in integration by parts: Chapter 7 students forget the alternating sign in the LIATE-based formula. Write the formula out in full before substituting.
- Confusing maxima vs minima at the second-derivative test: Chapter 6 students invert the sign convention. Maximum is where the second derivative is negative; minimum is where it is positive.
- Forgetting the +c on indefinite integrals: CBSE deducts a half-mark per missing constant of integration. Carry it through every step.
- Computing matrix products in the wrong order: Matrix multiplication is not commutative. A times B is generally not B times A; Chapter 3 problems test this routinely.
- Treating Bayes' theorem as a single formula instead of a conditional setup: Chapter 13 students often jump to the formula without writing the prior and likelihood explicitly. Show the sample space first.
- Direction cosines vs direction ratios in 3D Geometry: Chapter 11 problems test the distinction. Direction cosines are the cosines of angles with the axes; direction ratios are any scalar multiple of those. Confusing them costs marks.
Student Pulse: What 16,420 Class 12 Maths Students Told Us
What 16,420 students told us about their Class 12 Maths Exemplar usage
- 71% of students rated Chapter 7 Integrals as the highest-effort chapter, ahead of Chapter 11 Three Dimensional Geometry at 58% and Chapter 6 Application of Derivatives at 52%.
- Most-skipped chapter: Chapter 12 Linear Programming (skipped by ~24% of students despite carrying 5 marks). Toppers flagged this as a high-ROI chapter to reclaim because the graphical-method problems are mechanical once practised.
- Toppers reported that working the Expert's Solution tab on every Chapter 7 Integrals problem added 5-7 marks to their 80-mark theory paper score, mostly through faster integration technique recall.
- The average Class 12 Maths student spent 58 hours across the 13 chapters to finish the NCERT back-exercise once, with Chapters 5, 6, 7, 11 eating the most time per question.
Also Check: Related Class 12 Maths Resources
- Also Check: CBSE Class 12 Maths chapter notes hub on Collegedunia Exams
- Also Check: CBSE Class 12 exam pattern, dates, and full-subject hub
- Also Check: CBSE Class 12 Syllabus 2026-27
- Also Check: JEE Main 2026 exam information
- Also Check: JEE Main 2026 Syllabus
- Also Check: JEE Advanced 2026 information
- Also Check: CUET-UG 2026 information
Topper-tested takeaways for Class 12 Maths Exemplar Book PDF
- Attempt the Exemplar after the NCERT back-exercise feels comfortable, not before; the Exemplar is the harder-difficulty layer for JEE / CUET aspirants.
- Time yourself on the MCQ section; the target is 1 minute per question for the regular MCQs and 90 seconds for MCQ-II.
- The LA section is closest to the JEE Advanced / Olympiad style; reserve it for the application phase of your year-long plan.
- Pair the Exemplar Book PDF with the Exemplar Solutions for every problem; do not move on from a problem without seeing the recommended working.
Class 12 Maths NCERT Exemplar Book PDF FAQs
Ques. Where can I download the Class 12 Maths NCERT Exemplar Book PDF PDF?
Ans. Every chapter-wise Class 12 Maths NCERT Exemplar Book PDF PDF is downloadable directly from the index above, from Chapter 1 Relations and Functions through Chapter 13 Probability. A combined all-chapters PDF is also linked. Both Normal and HD resolutions are free.
Ques. Is this Class 12 Maths NCERT Exemplar Book PDF aligned with the 2026-27 NCERT?
Ans. Yes. Every chapter reflects the current 2026-27 syllabus. Where NCERT rationalised content out of the older edition, the affected sections carry an inline callout flagging the change so you do not over-revise dropped material.
Ques. How many chapters are there in Class 12 Maths per the 2026-27 NCERT?
Ans. Class 12 Maths has 13 chapters across the CBSE units: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The Topic Map table above lists every chapter under its unit.
Ques. Which Class 12 Maths chapter has the highest CBSE board weightage?
Ans. Calculus is the heaviest unit at 35 marks. The Weightage Snapshot table above tracks each chapter's mark share so you can plan your revision time around the high-yield chapters.
Ques. How are these Class 12 Maths NCERT Exemplar Book PDF different from the other Class 12 Maths resources?
Ans. The Class 12 Maths NCERT Exemplar Book PDF is best paired with the Exemplar Solutions for worked answers and the chapter-wise Notes for the concept refresher. Each resource on Collegedunia covers the same chapter list but in a different format; together they make a complete revision toolkit.
Ques. Are these Class 12 Maths NCERT Exemplar Book PDF files available in Hindi medium?
Ans. Yes. Every chapter ships with a Hindi-medium download alongside the English version. The Hindi files follow NCERT's own technical vocabulary (Ganit) so that students preparing in Hindi medium find the same terminology they have studied in.
Ques. What does Class 12 Maths cover?
Ans. Class 12 Maths covers 6 CBSE units across 13 chapters: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The 80-mark theory paper plus the 20-mark internal assessment together make 100 marks.
Ques. Which is the most-scoring chapter in Class 12 Maths?
Ans. The chapters in the Calculus block carry the largest share of the 80-mark paper. The six-chapter shortlist in the Where to Start section above together delivers 62 of 80 board marks.
Ques. How should I structure my Class 12 Maths preparation?
Ans. Build chapter by chapter, prioritising the high-weightage units. Use the Notes for concepts, the NCERT Solutions for back-exercise, the Exemplar for harder practice, and the Formula Sheet for the last week. The Study Plan section above sketches the 1-month / 2-week / 1-week countdown that most toppers settle into.
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