CBSE Class 12 Maths 2026-27 | Free MCQs, Sample Papers, Syllabus & Study Resources | Boundless Maths
CBSE Class 12 Mathematics
2026-27 Study Resource Hub

CBSE Class 12
Maths — 2026‑27

Your Complete Study Hub — Free Resources, AI Practice & Live Coaching

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.

Complete CBSE Syllabus

CBSE Class 12 Maths Syllabus 2026‑27

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.

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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Official CBSE Syllabus 2026-27 — Download Now

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

⬇ Download 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

📐
Calculus
35 Marks

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

📍
Vectors & 3-D Geometry
14 Marks

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

🔢
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 Deck 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 chapter-wise free questions on this site, 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
Recommended Resources

Textbooks & Study Aids

Essential textbooks, free practice questions, a formula deck, a PDF question bank, and an AI-powered question bank — your complete toolkit to score 90+.

📖
Primary Textbook · NCERT

Mathematics Class 12 — NCERT (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
  • Base textbook for board exam preparation

💡 NCERT is the foundation — work through it thoroughly. Solve all examples and exercises.
🛒 Buy on Amazon →
📚
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 →
🆓
Free · On This Website

Free Practice Questions — All Units

Boundless Maths · No cost · Available now

  • Per unit MCQs with answers and explanation
  • Assertion-reason questions
  • Solved short & long answer questions per unit
  • Case study questions per unit (board exam pattern)
💡 Best used after completing each chapter. Especially valuable for Calculus, Matrices, and Determinants.
📖 View Free Questions
📐
By Boundless Maths

Mathematics Formula Deck — All Units

One organised PDF · Complete reference · Board exam pattern

  • Every formula for all units in one printable 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 free practice questions.
Free Study Resources

Free Practice Questions — All Units

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.

🎯 What's Included in Each Unit

✓ 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

1

Relations and Functions

8 Marks

Types of relations · Functions · Domain and range · Composite and inverse functions

  • 20 Free MCQs
  • 25 Solved Examples
  • 2 Case Studies
2

Algebra

10 Marks

Inverse Trigonometric Functions · Matrices · Determinants

  • 25 Free MCQs
  • 35 Solved Examples
  • 2 Case Studies
3

Calculus

35 Marks

Continuity · Differentiability · Derivatives · Applications · Integrals · Differential Equations

  • 40 Free MCQs
  • 60 Solved Examples
  • 3 Case Studies
4

Vectors and Three-Dimensional Geometry

14 Marks

Vector operations · Dot and cross products · Direction cosines · Lines and planes

  • 25 Free MCQs
  • 30 Solved Examples
  • 2 Case Studies
5

Linear Programming

5 Marks

LPP formulation · Graphical method · Corner point method · Applications

  • 12 Free MCQs
  • 15 Solved Examples
  • 1 Case Study
6

Probability

8 Marks

Conditional probability · Bayes' theorem · Random variables · Probability distributions

  • 18 Free MCQs
  • 20 Solved Examples
  • 1 Case Study
🤖

🤖 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.

Premium Study Materials

Upgrade Your Preparation

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.

📐
✦ Coming Soon

📐 Comprehensive Formula Deck — 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 Deck →

Coming soon — stay tuned for launch

🤖 AI-Powered · Coming Soon
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🚀 Launching Soon

🤖 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

Papers & Practice

CBSE Sample Papers & Board Papers

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.

💡 Pro Tip for 90+ Scores

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.

📄
Sample Paper 2025-26
Latest Pattern
Download
📋
Marking Scheme 2025-26
With Solutions
Download
📄
Sample Paper 2024-25
Previous Year
Download
📋
Marking Scheme 2024-25
With Solutions
Download
📄
Sample Paper 2023-24
Previous Year
Download
📋
Marking Scheme 2023-24
With Solutions
Download
📄
Sample Paper 2022-23
Previous Year
Download
📋
Marking Scheme 2022-23
With Solutions
Download

CBSE Board Question Papers — Actual Board Exams

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

📝
Board Paper 2026
Delhi Region · Set 1 · New
Download PDF
📝
Board Paper 2025
Delhi Region · Set 1
Download
📝
Compartment 2025
Delhi Region · Set 1
Download
📝
Board Paper 2024
Delhi Region · Set 1
Download
📝
Compartment 2024
Delhi Region · Set 1
Download
📝
Board Paper 2023
Delhi Region · Set 1
Download
📝
Compartment 2023
Delhi Region · Set 1
Download

📝 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.

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.

💡

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.

🎓

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

📩 Book Free Demo Class → 💬 WhatsApp Us
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Choose the path that's right for you — free resources to start, AI-powered smart practice, or comprehensive offline preparation.

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200+ Free Practice Questions

Unit-wise MCQs, solved examples and case studies — no sign-up required.

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Formula Deck + AI Question Bank

Smart Preparation Pack (Coming Soon)

All formulas + adaptive AI practice that targets weak areas and simulates board exam.

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