CBSE Class 12 Maths Syllabus & Exam Pattern (2025-26)
Overview of CBSE Class 12 Maths
CBSE Class 12 Mathematics is an advanced subject that deepens students' understanding of algebra, calculus, vectors, and probability. It plays a central role in the Class 12 board examination and is a core requirement for competitive exams such as JEE Main and JEE Advanced.
The syllabus consists of 13 chapters organised into 6 units, carrying 80 marks for theory and 20 marks for internal assessment. Beyond exams, Class 12 Maths develops logical reasoning, analytical thinking, and problem-solving skills essential for careers in engineering, data science, economics, statistics, and pure mathematics. The curriculum aligns with NEP 2020, emphasising competency-based and real-world application learning.
Syllabus Highlights & Exam Pattern
CBSE Class 12 Maths is assessed through a 3-hour theory examination (80 marks) designed to test conceptual clarity and application skills rather than rote learning.
Exam pattern highlights:
- Question distribution: 20% MCQs/assertion-reason, 20% competency-based questions, 60% short and long answer questions
- Internal assessment (20 marks): Periodic tests, mathematical portfolio, lab activities
- Passing criteria: Minimum 33% aggregate (theory + internal assessment)
Special focus is placed on calculus, numericals, vector applications, and 3D geometry problems, which form the backbone of both board and entrance exam preparation.
Unit-wise Syllabus Breakdown
The Class 12 Maths curriculum progresses from foundational concepts to advanced applications, with a strong emphasis on calculus and analytical geometry.
Class 12 Maths – Unit-wise Syllabus (Official Format)
| UNIT | TITLE | SYLLABUS CONTENT | MARKS |
|---|---|---|---|
| Unit I | Relations & Functions | Relations and functions, equivalence relations, types of functions, invertible functions, matrices and determinants, properties, inverse of matrices, applications including area calculation. | 8 |
| Unit II | Algebra | Continuity and differentiability, applications of derivatives, tangents and normals, rate of change, maxima and minima. | 10 |
| Unit III | Calculus | Integration techniques, definite integrals, applications of integrals, differential equations, introduction to vectors; emphasis on numerical problem-solving. | 35 |
| Unit IV | Vectors & Three-Dimensional Geometry | Vectors, equations of lines and planes, direction ratios and cosines, shortest distance between lines, spatial geometry problems. | 14 |
| Unit V | Linear Programming | Formulation of linear programming problems, graphical solution method, feasible region, optimal solution. | 5 |
| Unit VI | Probability | Conditional probability, Bayes' theorem, random variables, binomial distribution, structured probability problems. | 8 |
| Total (Theory) | 80 | ||
For best results, students should follow the NCERT textbook sequence, as board questions are framed directly from it.
Chapter-wise Weightage (High-Level)
| Unit | Marks | Key Chapters | Focus Areas |
|---|---|---|---|
| Calculus | 35 | Integrals, Differential Equations | Integration techniques, DE solving |
| Vectors & 3D Geometry | 14 | Lines, Planes | Distance formulas, section formula |
| Algebra | 10 | Applications of Derivatives | Maxima/minima word problems |
| Relations & Functions | 8 | Matrices, Determinants | Inverse matrix applications |
| Probability | 8 | Bayes' Theorem | Conditional probability |
| Linear Programming | 5 | Graphical Method | Feasible region optimisation |
High-weightage areas:
Calculus carries the highest weightage (35 marks), so prioritising integration methods and differential equations can significantly boost overall scores.
Practical & Internal Assessment
Internal assessment contributes 20 marks and evaluates consistency and application skills throughout the year.
- Periodic tests (10 marks): Unit and class tests with mixed question patterns
- Mathematical portfolio (5 marks): Projects based on real-life applications such as optimisation, finance, or surveying
- Lab activities (5 marks): Use of tools like GeoGebra or Excel for graphing, vector simulations, and modelling
Students must maintain well-documented, certified portfolios that show all steps, diagrams, and logical reasoning.
Evaluation Scheme for Internal Assessment
| Component | Details | Marks |
|---|---|---|
| Periodic Tests | Unit and class tests with mixed question patterns | 10 |
| Mathematical Portfolio | Projects based on real-life applications | 5 |
| Lab Activities | Use of tools like GeoGebra or Excel | 5 |
| Total (Internal Assessment) | 20 | |
How to Study CBSE Class 12 Maths Effectively
- Solve NCERT exercises and NCERT Exemplar thoroughly
- Practise last 10 years' board papers, aiming for 100+ problems per chapter
- Create unit-wise formula sheets: Calculus (50+ formulas), Vectors & 3D (30+ formulas)
- Draw 3D sketches, LP graphs, and probability trees regularly
- Attempt weekly timed mock tests simulating the 3-hour exam
- For JEE Main, chapters like Applications of Derivatives, Integrals, and Vectors contribute nearly 50% of the entrance exam coverage
Download Maths Syllabus & Study Resources
Access essential preparation material to stay exam-ready:
- CBSE Class 12 Maths Syllabus PDF (2025-26)
- Chapter-wise weightage charts
- 500+ practice problems with solutions
- JEE Main topic-mapping guide
- Download Maths Syllabus PDF Free
Frequently Asked Questions about CBSE Class 12 Maths
The subject carries 100 marks in total: 80 for theory and 20 for internal assessment.
Calculus carries the highest weightage with 35 marks.
Yes, minor rationalisation has been done. Students should refer to the official CBSE syllabus PDF for updates.
Periodic tests (10 marks), mathematical portfolio (5 marks), and lab activities (5 marks).
There are 13 chapters divided across 6 units.
20% MCQs, 20% competency-based questions, and 60% short and long answer questions.
Around 85% of the syllabus overlaps with JEE Main Mathematics.
Students must score 33% aggregate (theory + internal assessment) to pass.