CBSE Class 12th Mathematics Syllabus 2025-26: The 2025–2026 curriculum for the 12th grade has been released by the CBSE Board. In the table below, students can review their comprehensive CBSE Class 12th Maths 2025–2026 syllabus. The math curriculum has not changed. Chapters, divisions, and subjects covered in the 2025–2026 academic year are listed in detail in the syllabus. The course outline, suggested project work, assessment criteria, and much more are included. The syllabus outlines the subjects, chapters, and units that make up the session's curriculum, which students will study. The PDF can be downloaded by students using the link below. They can save it for later use after downloading it. The CBSE Class 12th Mathematics syllabus is divided into two sections: the theory paper and the project assignment. You can review the details of each section here. There includes a list of suggested project work ideas as well as the evaluation scheme.
CBSE Class 12 Mathematics Syllabus 2025-26: Key Highlights
| Overview | Details |
| Board Name: | Central Board of Secondary Examination |
| Class: | 12 |
| Subject: | Mathematics |
| Subject Code: | 041 |
| Total Marks: | 100 |
| Theory Marks: | 80 |
| Project Marks: | 20 |
| Exam Duration: | 3 Hours |
| Total Sections: | 2 Sections (Theory & Internal) |
CBSE Class 12 Mathematics: Detailed Syllabus 2025-26
There will be two papers in the subject:
- Theory: 80 marks
- Internal Assignment : 20 marks
| Unit-I: Relations and Functions 1. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. 2. Inverse Trigonometric Functions Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. |
| Unit-II: Algebra 1. Matrices Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restricted to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). 2. Determinants of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of systems of linear equations by examples, solving systems of linear equations in two or three variables (having unique solution) using inverse of a matrix. |
| Unit-III: Calculus 1. Continuity and Differentiability Continuity and differentiability, chain rule, derivative of composite functions, derivatives of inverse trigonometric functions like sin−1 𝑥, cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. 2. Applications of Derivatives Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real- life situations). 3. Integrals Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.  Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. 4. Application of the Integrals Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only) 5. Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:
|
| Unit-IV: Vectors and Three-dimensional Geometry 1. Vectors Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. 2. Three-dimensional Geometry Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines. |
| Unit-V: Linear Programming Problem 1. Linear Programming Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Unit-VI: Probability 1. Probability Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem. |
CBSE Class Mathematics 2025-26: Course Structure
| No. | Units | Marks |
| 1. | Relations & Functions | 08 |
| 2. | Algebra | 10 |
| 3. | Calculus | 35 |
| 4. | Vectors and Three - Dimensional Geometry | 14 |
| 5. | Linear Programming | 05 |
| 6. | Probability | 08 |
| Total | 80 | |
| Internal Assessment
| 20 10 10 | |
| Grand Total | 100 |
Check: CBSE Class 12 Syllabus 2025-26
CBSE Class 12 Mathematics 2025-26: QUESTION PAPER DESIGN
Check the below to get an idea of how the CBSE Class 12 Mathematics Question Paer will be designed for the academic year 2025-26
| Sl. No | Typology of Questions | Total Marks | Percentage Weightage |
| 1. | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 44 | 55 |
| 2. | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 20 | 25 |
| 3. | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 16 | 20 |
| Total | 80 | 100 |
Note:
- No chapter wise weightage. Care to be taken to cover all the chapters
- Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions same.
To download the CBSE Class 12 Mathematics Syllabus 2025-26, click on the link below
Download CBSE Class 12 Mathematics Syllabus 2025-2026 PDF |
CBSE Class 12 Mathematics 2025-26: Internal Assessment
There will be no overall choice in the question paper. However, 33% internal choices will be given in all the sections
| Sl.No | Internal Assessment | Total Marks: 20 |
| 1. | Periodic Tests (Best 2 out of 3 tests conducted) | 10 |
| 2. | Mathematics Activities | 10 |
Note: For activities NCERT Lab Manual may be referred.
Conduct of Periodic Tests:
Periodic Test is a Pen and Paper assessment which is to be conducted by the respective subject teacher. The format of periodic tests must have question items with a balanced mix, such as, very short answer (VSA), short answer (SA) and long answer (LA) to effectively assess the knowledge, understanding, application, skills, analysis, evaluation and synthesis. Depending on the nature of the subject, the subject teacher will have the liberty of incorporating any other types of questions too. The modalities of the PT are as follows:
a) Mode: The periodic test is to be taken in the form of a pen-paper test.
b) Schedule: In the entire Academic Year, three Periodic Tests in each subject may be conducted as follows:
| Test | Pre-Mid-term (PT-I) | Mid-Term (PT-II) | Post Mid-Term (PT-III) |
| Tentative Month | July-August | November | December-January |
This is merely a suggested schedule, and schools are free to administer tests whenever it is most convenient for them. The winter-bound schools would create their own timetable with comparable intervals between two assessments.
c) Average of Marks: The weights of the three periodic tests will be converted into 10 marks each once schools have finished administering them in order to determine which two tests are the best. The final marks for PT will be determined by averaging the two top scores, which will be considered.
d) The school will ensure simple documentation to keep a record of performance as suggested in detail circular no. Acad-05/2017.
e) Sharing of Feedback/Performance: To give them a sense of the quality of learning that has occurred over time, the students and their parents must be informed about the students' performance on each exam. In order to further improve learning, feedback will assist parents in creating interventions (support materials, motivation, and a positive atmosphere). When giving students or parents feedback, a teacher should be sympathetic, nonjudgmental, and encouraging. To inspire all students, it is advised that the instructor showcase the greatest IA performances and examples.
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