Class 12 Maths — CBSE 2026-27 Syllabus, Solutions & Resources | Boundless Maths

Class 12 Maths
Complete CBSE Resource Hub

CBSE 2026‑27 — Syllabus, NCERT Solutions, Sample Papers, Formula Cards & AI Practice

This is your complete Class 12 Maths hub for CBSE 2026‑27 — the full syllabus PDF, free chapter-wise NCERT Solutions for every exercise, CBSE sample papers & school papers, previous years' board papers, Formula Cards for quick revision, an AI-powered question bank that adapts to your weak areas, and personal coaching from an expert with 13+ years of experience. Whether you're starting Class 11 or in your final weeks before the Class 12 board exam, every resource you need is here in one place, in the right order.

Complete CBSE Syllabus

Class 12 Maths Syllabus 2026‑27 (CBSE)

The Mathematics syllabus for Class 12 is divided into two parts – Theory (80 marks) and Internal Assessment (20 marks). CBSE Class 12 Maths for the 2026-27 session (updated from 2025-26) is structured across 7 major units covering Relations & Functions, Trigonometry, Algebra, Calculus, Vector Algebra, 3D Geometry, Linear Programming, and Probability. This comprehensive curriculum is designed for students pursuing science, commerce, or mathematics-intensive streams at the undergraduate level.

Theory Syllabus — 80 Marks (6 Major Units)

UnitTopics CoveredMarks
I. Relations and FunctionsTypes of relations, Functions, Domain and range, Composite functions, Inverse functions08
II. AlgebraInverse Trigonometric Functions, Matrices, Determinants, Properties, Solving linear equations using Martin's Rule10
III. CalculusContinuity, Differentiability, Derivatives, Applications (maxima-minima), Integrals, Integration techniques, Area under curves, Differential equations35
IV. Vectors and Three-Dimensional GeometryVector operations, Dot and cross products, Direction cosines, Equations of lines and planes, Distance formulas14
V. Linear ProgrammingLPP formulation, Graphical method, Corner point method, Applications05
VI. ProbabilityConditional probability, Bayes' theorem, Random variables, Probability distributions08

Internal Assessment — 20 Marks

  • Periodic Tests: 10 Marks
  • Mathematics Activities / Practical Work: 5 Marks
  • Portfolio: 5 Marks

Exam Pattern 2026‑27

  • Section A: 20 MCQs × 1 mark = 20 marks
  • Section B: 5 questions × 2 marks = 10 marks
  • Section C: 6 questions × 3 marks = 18 marks
  • Section D: 4 questions × 5 marks = 20 marks
  • Section E: 3 Case Studies × 4 marks = 12 marks
  • Total: 80 Marks · 3 Hours
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Class 12 Maths Syllabus PDF 2026-27 — Download Now

Get the official CBSE Class 12 Maths Syllabus PDF with unit-wise marks distribution, deleted topics, and exam pattern.

⬇ Download Class 12 Maths Syllabus PDF
Preparation Strategy

How to Score 90+ Marks in CBSE Class 12 Mathematics Board Exam 2026-27

Complete guide to score 90+ marks in CBSE Class 12 Mathematics Board Exam 2026-27. Learn which topics carry maximum weightage, unit-wise preparation strategy, formula mastery techniques, how to use the right practice papers at the right time, and common mistakes to avoid.

Study Strategy

High Priority Topics — Maximum Weightage

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Calculus
35 Marks

Continuity, Derivatives, Integrals, Differential Equations — the largest unit. Master this for guaranteed 50%+ of marks.

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Vectors & 3-D Geometry
14 Marks

Vectors, lines, planes, distance — second highest weightage. Geometrical concepts requiring spatial visualization.

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Algebra
10 Marks

Inverse Trigonometric Functions, Matrix Operations, inverse, properties, solving equations using Martin's Rule. Practice all question types.

💡 Pro Strategy: Focus 60% of your time on Calculus and Matrices. These two units alone carry 60 marks. Master these, and your score will be 60+.

🎯 Scoring Topics — Don't Miss These Easy Marks

Relations and Functions (8 marks): Questions on Types fo Relations and Functions are straightforward.  |  Linear Programming (5 marks): Graphical method is visual and scoring.  |  Probability (8 marks): Conditional probability and Bayes' theorem follow standard approaches easy to master.


1. Formula Mastery

Class 12 Maths has many formulas — derivatives, integrals, vector operations, trigonometric identities. Use the Formula Cards for daily revision and understand when to apply each formula.

2. Presentation Matters

Always show step-wise working. CBSE awards method marks even if your final answer is wrong. A well-presented incomplete solution earns you more marks than a direct answer.

3. Time Management

Allocate 30 minutes daily to high-weightage units (Calculus, Matrices, Determinants). Consistent daily practice beats last-minute cramming.

4. Solve in Layers

Start with NCERT Solutions on this site to nail every exercise question, then CBSE sample papers, then previous year board papers. Each layer adds difficulty — build real exam confidence.

5. Right Paper at the Right Time

Use school question papers matched to your exam stage — UT papers while preparing, Half-Yearly papers for term exams, Pre-Board papers in the final weeks.

6. Smart Practice with AI

The AI Question Bank includes adaptive AI practice — instant feedback, personalised weak-area targeting, and timed board exam simulation. Use it in the final weeks to consolidate everything.

❌ Common Mistakes to Avoid

  • Skipping steps in calculus and algebra solutions — you lose method marks
  • Memorising formulas without understanding their applications
  • Not attempting all questions (there is NO negative marking!)
  • Neglecting Vector Algebra and 3D Geometry — they carry 14 marks combined
  • Poor time management — spending too long on difficult questions
  • Ignoring case study question practice — they carry 12 marks
  • Not practising MCQs seriously — they carry 20 marks
Free Study Resources

Class 12 Maths NCERT Solutions — All 13 Chapters

Free, chapter-wise and exercise-wise Class 12 Maths NCERT Solutions for CBSE 2026-27. Every exercise question from the NCERT textbook (Part I & II) — from Exercise 1.1 through each chapter's Miscellaneous Exercise — solved step-by-step, in the exact method CBSE examiners expect, so you know precisely how to write each answer for full marks.

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All 13 Chapters, Solved Step-by-Step

Relations & Functions, Matrices, Calculus, Vectors, Linear Programming, Probability — every NCERT exercise across all 6 units, solved the exact way CBSE examiners expect, completely free with no sign-up.

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🤖 Want Adaptive AI-Powered Practice for All Units?

The AI Question Bank targets your weak areas automatically, gives instant feedback on every answer, and simulates the CBSE board exam. Smarter preparation in less time — designed for the final push before boards.

Recommended Resources

Textbooks & Study Aids

Essential textbooks, free NCERT Solutions, Formula Cards, and an AI-powered question bank — your complete toolkit to score 90+.

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Primary Textbook · NCERT

Class 12 Maths NCERT Book (Part I & II)

Published by NCERT

  • Official CBSE textbook — comprehensive coverage of all topics
  • Solved examples and practice exercises for every chapter
  • Covers complete CBSE syllabus 2026-27
  • Prefer a PDF? Our chapter-wise NCERT Solutions cover every question from this book, free

💡 NCERT is the foundation — work through it thoroughly. Solve all examples and exercises.
🛒 Buy on Amazon →
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Reference Textbook

Class 12 Mathematics — R.D. Sharma

By R.D. Sharma

  • Comprehensive coverage with detailed theory and many solved examples
  • More practice problems than NCERT — excellent for deeper understanding
  • MCQs, Assertion-Reason questions, and applications included
  • Best used alongside NCERT for additional practice
💡 Use this for extra practice after completing NCERT chapters — higher difficulty level.
🛒 Buy on Amazon →
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By Boundless Maths

Class 12 Maths Formula Cards — All Units

One organised set of Formula Cards · Complete reference · Board exam pattern

  • Every formula for all units in one printable formula card PDF
  • Chapter-wise layout for quick reference during revision
  • Perfect for daily revision and exam day prep
💡 Keep this open on exam day. A quick formula scan saves marks. Works brilliantly alongside NCERT Solutions.
Papers & Practice

CBSE Sample Papers & Board Papers

Official CBSE sample papers and actual board exam questions are among the most critical study resources for CBSE Mathematics Class 12 — solving these under timed conditions is one of the single most effective preparation strategies for scoring 90+. Class 12 Maths sample papers and board papers are coming soon on this page.

💡 Pro Tip for 90+ Scores

Once available, solve all CBSE sample papers and previous year board papers at least 2 times under timed conditions (3 hours). This is the single most effective preparation strategy for board exams.

CBSE Official Sample Papers — Latest Pattern

Released by CBSE — these define the exact exam pattern, question types, and marking scheme for your board exams. Start here.

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Sample & Board Papers
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CBSE Board Question Papers — Actual Board Exams

Real questions from actual CBSE board examinations — practise with these to understand exam difficulty and question patterns.

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Board Papers
Coming Soon
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📝 The real learning happens when you check your work.

See fully solved, step-by-step solutions for all CBSE Mathematics Board papers (2023–2026) in the Question Bank — written exactly the way CBSE expects answers to be presented. Know precisely how to write every answer to earn full marks.

Premium Study Materials

Upgrade Your Preparation

Premium study aids for students who want extra support. Formula Cards provide every important formula for quick revision, and the AI Question Bank (coming soon) will offer adaptive smart preparation tailored to your level.

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✦ Coming Soon

📐 Comprehensive Formula Cards — All Units

  • All formulas for all units in one organised, printable PDF
  • Chapter-wise layout for quick reference before every test
  • Pro tips & common mistakes noted alongside each formula
  • Covers complete CBSE syllabus 2026-27
  • Perfect companion for exam day preparation
💯 Board Exam Pattern
Get Formula Cards →

Coming soon — stay tuned for launch

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🤖 CBSE Class 12 Maths Question Bank (AI Powered) — 2026-27

  • Adaptive AI practice — questions adjust to your level in real time
  • Instant feedback on every answer with detailed explanations
  • Automatically targets your weak areas across all units
  • Timed board exam simulation — full 3-hour mock experience
  • Progress tracking — see exactly where you stand unit-wise
  • All question types: MCQs, short, long answer, case studies
  • Works on mobile, tablet and desktop — study anywhere
📧 Explore AI Q-Bank

Be the first to know when the AI Question Bank launches

Online Coaching Classes

Looking for Maths Class 12 Coaching?

Prefer learning with a teacher? Get personalised, concept-first guidance for CBSE Mathematics Class 12 — online, flexible, and built around how you learn best.

Many students find Mathematics manageable with the right guidance. Whether you are struggling with Calculus, Matrices, Vector Algebra, or simply want structured after-school classes to stay on track — personalised online coaching can make a significant difference. At Boundless Maths, we believe in mindful, concept-first learning: understanding why before how, so that formulas stick and exam confidence grows naturally.

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All Units Covered

Complete CBSE Class 12 Maths Syllabus — all 7 major units with depth and clarity.

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Concept-First Approach

Build real understanding before practising problems. Know when and why to apply each formula.

🎯

Board Exam Focused

Every session aligned to CBSE board exam pattern — MCQs, case studies, and step-wise solutions.

💬 Who is this for?

Students finding Calculus or Vector Algebra difficult · Class 11 students starting early to build strong foundation · Class 12 students looking for focused after-school coaching or pre-board revision sessions.

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Book a Free Demo Class

Try a no-commitment demo session and experience the Boundless Maths approach — mindful, concept-first, and board-exam focused.

  • 30-minute free trial session
  • No commitment — decide after the demo
  • All units, CBSE Class 12 Mathematics
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Common Questions

Frequently Asked Questions

Quick answers about the CBSE Class 12 Maths syllabus, NCERT Solutions, exam pattern, and the resources on this page.

How many chapters are there in CBSE Class 12 Maths for 2026‑27?
The CBSE Class 12 Maths syllabus 2026‑27 has 13 chapters across 6 units — Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three‑Dimensional Geometry, Linear Programming, and Probability.
Which unit carries the highest weightage?
Calculus carries the highest weightage — 35 of the 80 theory marks — covering Continuity & Differentiability, Application of Derivatives, Integrals, Application of Integrals, and Differential Equations. This single unit is worth almost half the paper, so it deserves the largest share of your study time.
Is NCERT enough to score 90+ in the board exam?
NCERT is the foundation — CBSE sets exam questions directly based on it, so working through every example and exercise carefully is essential. The official textbook is published by the National Council of Educational Research and Training (NCERT) and is freely available at ncert.nic.in. Most 90+ scorers combine thorough NCERT practice with CBSE sample papers, previous years' board papers, and consistent step-wise presentation to pick up full method marks.
Are the NCERT Solutions free?
Yes. Every chapter-wise NCERT Solution is completely free to access on our dedicated NCERT Solutions page, with no sign-up required.
Is there negative marking in the CBSE Class 12 Maths board exam?
No, there is no negative marking. Attempt every question — including MCQs and case studies you're unsure about — since a partial or incorrect attempt never costs you marks.
What is the exam pattern for CBSE Class 12 Maths 2026‑27?
The paper is worth 80 marks across five sections: Section A (20 MCQs, 1 mark each), Section B (5 questions, 2 marks each), Section C (6 questions, 3 marks each), Section D (4 questions, 5 marks each), and Section E (3 case studies, 4 marks each) — plus 20 marks of Internal Assessment. There is 33% internal choice throughout the paper.
How is the AI Question Bank different from the free NCERT Solutions?
NCERT Solutions cover textbook exercises step-by-step, chapter by chapter. The AI Question Bank goes further with adaptive practice across MCQs, short/long answer and case-study questions, instant feedback on every answer, automatic weak-area targeting, and a timed, full-length board exam simulation.
Can I get personal coaching for Class 12 Maths?
Yes. Boundless Maths offers personalised, concept-first online coaching for CBSE Class 12 Mathematics, covering all 7 major units. You can book a free 30-minute demo class with no commitment required.
Where can I find free Class 12 Maths NCERT Solutions?
Visit our Class 12 Maths NCERT Solutions page — chapter-wise for all 13 chapters, with every exercise and the Miscellaneous Exercise solved step-by-step. No sign-up is required to access any of it.
Are Class 12 Maths Formula Cards or a formula PDF available?
Yes. The Boundless Maths Formula Cards are a printable Class 12 Maths formula reference covering every unit — Calculus, Algebra, Vectors and 3D Geometry, Linear Programming, and Probability — organised chapter-wise for quick revision and exam-day reference.
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NCERT Solutions — All 13 Chapters

Step-by-step solutions to every NCERT exercise, chapter-wise — no sign-up required.

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Formula Cards — All Units

Every formula for all units in one printable, chapter-wise PDF — your board exam companion.

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AI Question Bank — Board Exam Prep

Adaptive AI practice that targets your weak areas and simulates the full 3-hour board exam.

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