Your Complete Study Hub — Free Resources, AI Practice & Live Coaching
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This page brings everything together — the full CBSE Mathematics syllabus, 200+ free practice questions across all 7 major units, CBSE sample papers & school papers, comprehensive study materials, a formula deck, 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 2026-27 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 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 chapter-wise free questions on this site, 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 practice questions, a formula deck, a PDF question bank, and an AI-powered question bank — your complete toolkit to score 90+.
Published by NCERT
By R.D. Sharma
Boundless Maths · No cost · Available now
One organised PDF · Complete reference · Board exam pattern
Boundless Maths · Adaptive AI practice
Access comprehensive free study resources for all units of CBSE Class 12 Maths 2026-27. Each unit includes solved examples with step-by-step solutions, free MCQs with answers, assertion-reason questions, short answer questions, long answer questions, and case study questions for board exam practice.
✓ 15–25 Free MCQs with answers ✓ 20–30 Important Short and Long Answer Questions with step-by-step Solutions ✓ 2–3 Case Study questions (as per the board exam pattern) ✓ Assertion-reason and application-based questions
8 Marks
Types of relations · Functions · Domain and range · Composite and inverse functions
10 Marks
Inverse Trigonometric Functions · Matrices · Determinants
35 Marks
Continuity · Differentiability · Derivatives · Applications · Integrals · Differential Equations
14 Marks
Vector operations · Dot and cross products · Direction cosines · Lines and planes
5 Marks
LPP formulation · Graphical method · Corner point method · Applications
8 Marks
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.
Premium study aids for students who want extra support. The Formula Deck provides 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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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.
Choose the path that's right for you — free resources to start, AI-powered smart practice, or comprehensive offline preparation.
Unit-wise MCQs, solved examples and case studies — no sign-up required.
All formulas + adaptive AI practice that targets weak areas and simulates board exam.
Expert CBSE Coaching · Class 9–12