The Class 12 Maths NCERT Exemplar Book PDF (2026-27 edition) is the official NCERT Exemplar Problems book for Class 12 Maths. It is a separate book from the main NCERT textbook.
Class 12 Maths Exemplar Book PDF Download
Download every chapter of the 2026-27 Class 12 Maths NCERT Exemplar as a free PDF. The list runs in NCERT chapter order.
It has harder MCQs, very short answer, short answer, and long answer problems that go beyond the regular back-exercise. JEE and CUET aspirants use it a lot for 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 set
- 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 here are the official NCERT files. We downloaded them from ncert.nic.in and indexed them for easy chapter-wise navigation.
Why Download the Class 12 Maths NCERT Exemplar Book PDF?
The Exemplar links the NCERT back-exercise to the JEE and CUET question paper. The problems are harder and the question types are more varied. The depth matches what competitive exams actually test.
- Beyond the back-exercise: the Exemplar problems are harder than the regular NCERT back-exercise. They are the next step once the 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). CBSE uses the same set on the board paper, plus the MCQ-II type that JEE uses.
- Used by JEE / CUET coaching institutes: most coaching-institute Class 12 modules use the Exemplar problems as standard reference.
- Chapter-wise download: download only the chapters you need. This helps when your weekly test covers one chapter.
- Free and official: the same NCERT Exemplar Problems book you would buy in print, as a free PDF.
- Pairs with the worked Exemplar Solutions: open the Exemplar Solutions next to this PDF when you want to check your answer or see a good 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)
Here is how the 13 Exemplar chapters group into the CBSE units below. The Exemplar follows the main NCERT chapter order, so every chapter matches the textbook one-to-one.
| 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
NCERT cut some topics from the 2026-27 Class 12 Maths syllabus. This lowers the study load for CBSE Boards, JEE Main and JEE Advanced. The topics below are officially out of the 2026-27 question paper, so skip them while you revise.
| 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. It is split into five sections. Once you know which section a chapter feeds, you can pick the right resource. Use Notes for Section A recall and NCERT Solutions for the Section 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 plus the 20-mark internal assessment (practical, project, viva) makes the 100-mark scheme. You earn internal marks by keeping your lab notebook complete and preparing for the viva. The theory paper is where your chapter-wise NCERT practice shows up.
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 first. The Exemplar assumes you already know the concepts.
- 2Attempt each question on your own. Write your working in a notebook before you open the answer. Just reading the answer does not build exam speed.
- 3Compare your working to the resource. Mark every step where your method was different. 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. Try each problem first. Peek only when you are stuck for 10+ minutes. The Solutions PDF on the sibling listing has the checked 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 solve in under 10 minutes for a re-attempt.
- Last 4 weeks before the boards: go back to the marked problems and check your answers 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 then.
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 flip the sign rule. Maximum is where the second derivative is negative. Minimum is where it is positive.
- Forgetting the +c on indefinite integrals: CBSE cuts a half-mark for each missing constant of integration. Carry it through every step.
- Computing matrix products in the wrong order: The order of matrix multiplication matters. A times B is usually not the same as B times A. Chapter 3 problems test this often.
- 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 difference. Direction cosines are the cosines of the angles with the axes. Direction ratios are any scalar multiple of those. Mixing them up costs marks.
Student Feedback: 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 hardest chapter. Next came Chapter 11 Three Dimensional Geometry at 58% and Chapter 6 Application of Derivatives at 52%.
- Most-skipped chapter: Chapter 12 Linear Programming. About 24% of students skip it, even though it carries 5 marks. Toppers say it is easy marks to win back, because the graphical-method problems get simple once you practise them.
- Toppers said the Expert's Solution tab helped a lot. Working it on every Chapter 7 Integrals problem added 5-7 marks to their 80-mark theory paper score. Most of the gain came from faster integration.
- The average Class 12 Maths student spent 58 hours across the 13 chapters to finish the NCERT back-exercise once. Chapters 5, 6, 7 and 11 took 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
- Start the Exemplar only after the NCERT back-exercise feels easy. The Exemplar is the harder layer for JEE / CUET aspirants.
- Time yourself on the MCQ section. Aim for 1 minute per regular MCQ and 90 seconds for MCQ-II.
- The LA section is closest to the JEE Advanced or Olympiad style. Save it for the practice 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 before you see the suggested working.
Class 12 Maths NCERT Exemplar Book PDF FAQs
Ques. Where can I download the Class 12 Maths NCERT Exemplar Book PDF PDF?
Ans. You can download every chapter-wise Class 12 Maths NCERT Exemplar Book PDF from the index above. It runs from Chapter 1 Relations and Functions to 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 matches the current 2026-27 syllabus. Where NCERT cut content from the older edition, those sections carry an inline callout. It flags the change so you do not revise dropped topics.
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. Pair the Class 12 Maths NCERT Exemplar Book PDF with two resources. Use the Exemplar Solutions for worked answers and the chapter-wise Notes for a concept refresher. Each resource on Collegedunia covers the same chapters in a different format. Together they make a full revision toolkit.
Ques. Are these Class 12 Maths NCERT Exemplar Book PDF files available in Hindi medium?
Ans. Yes. Every chapter has a Hindi-medium download next to the English one. The Hindi files use NCERT's own maths terms (Ganit). So Hindi-medium students see the same words they have studied.
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 and focus on the high-weightage units first. Use the Notes for concepts, the NCERT Solutions for the back-exercise, the Exemplar for harder practice, and the Formula Sheet for the last week. The Study Plan section above shows the 1-month, 2-week and 1-week countdown that most toppers use.
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