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CBSE 2026‑27 — Free Solutions, Syllabus PDF, Sample Papers, Formula Deck & AI Practice
This is your complete Class 12 Maths NCERT Solutions hub for CBSE 2026‑27 — every chapter and exercise solved step-by-step, the full syllabus PDF, CBSE sample papers & school papers, previous years' board papers, a formula deck (formula sheet) 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.
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.
| Unit | Topics Covered | Marks |
|---|---|---|
| I. Relations and Functions | Types of relations, Functions, Domain and range, Composite functions, Inverse functions | 08 |
| II. Algebra | Inverse Trigonometric Functions, Matrices, Determinants, Properties, Solving linear equations using Martin's Rule | 10 |
| III. Calculus | Continuity, Differentiability, Derivatives, Applications (maxima-minima), Integrals, Integration techniques, Area under curves, Differential equations | 35 |
| IV. Vectors and Three-Dimensional Geometry | Vector operations, Dot and cross products, Direction cosines, Equations of lines and planes, Distance formulas | 14 |
| V. Linear Programming | LPP formulation, Graphical method, Corner point method, Applications | 05 |
| VI. Probability | Conditional probability, Bayes' theorem, Random variables, Probability distributions | 08 |
Get the official CBSE Class 12 Maths Syllabus PDF with unit-wise marks distribution, deleted topics, and exam pattern.
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.
Continuity, Derivatives, Integrals, Differential Equations — the largest unit. Master this for guaranteed 50%+ of marks.
Vectors, lines, planes, distance — second highest weightage. Geometrical concepts requiring spatial visualization.
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+.
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.
Class 12 Maths has many formulas — derivatives, integrals, vector operations, trigonometric identities. Use the Formula Deck for daily revision and understand when to apply each formula.
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.
Allocate 30 minutes daily to high-weightage units (Calculus, Matrices, Determinants). Consistent daily practice beats last-minute cramming.
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.
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.
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.
Essential textbooks, free NCERT Solutions, a formula deck, and an AI-powered question bank — your complete toolkit to score 90+.
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.
✓ Solutions to every NCERT exercise question ✓ Step-by-step working as per the CBSE marking scheme ✓ Miscellaneous exercise solutions ✓ Clear explanation of the formula or concept used at each step
Types of relations · Functions · Domain and range · Composite and inverse functions
Inverse Trigonometric Functions · Matrices · Determinants
Continuity · Differentiability · Derivatives · Applications · Integrals · Differential Equations
Vector operations · Dot and cross products · Direction cosines · Lines and planes
LPP formulation · Graphical method · Corner point method · Applications
Conditional probability · Bayes' theorem · Random variables · Probability distributions
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.
Official CBSE sample papers and actual board exam questions — your most critical study resources for CBSE Mathematics Class 12. Download CBSE Mathematics sample papers with complete marking schemes (2023-24, 2024-25, 2025-26), previous year board papers from 2023–2026, and Compartment exam papers. Solving these papers under timed conditions is the single most effective preparation strategy for scoring 90+ in CBSE Mathematics.
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.
Released by CBSE — these define the exact exam pattern, question types, and marking scheme for your board exams. Start here.
Real questions from actual CBSE board examinations — practise with these to understand exam difficulty and question patterns.
📝 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.
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.
Complete CBSE Class 12 Maths Syllabus — all 7 major units with depth and clarity.
Build real understanding before practising problems. Know when and why to apply each formula.
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.
Try a no-commitment demo session and experience the Boundless Maths approach — mindful, concept-first, and board-exam focused.
Quick answers about the CBSE Class 12 Maths syllabus, NCERT Solutions, exam pattern, and the resources on this page.
Choose the path that's right for you — free resources to start, AI-powered smart practice, or comprehensive offline preparation.
Step-by-step solutions to every NCERT exercise, chapter-wise — no sign-up required.
Every formula for all units in one printable, chapter-wise PDF — your board exam companion.
Adaptive AI practice that targets your weak areas and simulates the full 3-hour board exam.
Expert CBSE Coaching · Class 9–12