- CBSE Class 12 Mathematics Syllabus 2024-25 PDF Download
- CBSE Class 12 Mathematics Syllabus 2024-25 Course Structure
- CBSE Class 12 Mathematics Syllabus 2024-25: Chapter-wise
- CBSE Class 12 Mathematics Syllabus 2024-25: Question Paper Pattern
- CBSE Class 12 Mathematics Deleted Syllabus 2024-25
- CBSE Class 12 Mathematics Syllabus 2024-25: Deleted Topics List
- CBSE Class 12 Mathematics Syllabus 2024-25: Prescribed Books
- Faqs
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CBSE Class 12 Mathematics Syllabus 2024-25: The Central Board of Secondary Education issued the CBSE Mathematics syllabus 2024-25 for class 12th students. The theory portion of CBSE class 12 Mathematics will be held for 80 marks and the remaining 20 marks will be allotted for the internal assessments. CBSE Class 12 Syllabus 2025 for Mathematics comprises a total of 6 units, which is further divided into 13 chapters. As per the CBSE 12th Maths syllabus 2025, unit 3 (Calculus) will carry the maximum weightage of 35 marks. Following this, the next major weightage-carrying units are Vectors and Algebra each carrying a weightage of 14 and 10 respectively.
CBSE 12th class Mathematics syllabus 2025 is not divided as per chapter-wise marks, rather the weightage is decided based on the competencies. In the CBSE class 12 Mathematics paper, no overall choice in the question paper will be given. However, all the sections will have 33% of internal choices. Moreover, the CBSE board will retain the CBSE class 12 Math deleted syllabus for this academic session as well. Students appearing for the upcoming CBSE 12th Board 2025 exams can download the
CBSE Class 12 Syllabus 2024-25 PDF
from the official website of the CBSE board - cbseacademic.nic.in. They can also download the Maths syllabus from this page. Read the entire article to know more about the CBSE 12th Mathematics syllabus 2025.
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CBSE Class 12 Mathematics Important Question
CBSE Class 12 Mathematics Syllabus 2024-25 PDF Download
CBSE Class 12 Mathematics Syllabus 2024-25 Course Structure
The CBSE class 12 Maths examination will be conducted for 3 hours, from 10:30 AM to 1:30 PM. The Maths question paper will be divided into five sections, Section A, Section B, Section C, Section D, and Section E. Refer to the table below to have an idea of the course structure of the CBSE 12th Maths syllabus 2025:
No. | Units | Periods | Marks |
---|---|---|---|
I | Relations and Functions | 30 | 08 |
II | Algebra | 50 | 10 |
III | Calculus | 80 | 35 |
IV | Vectors and Three-Dimensional Geometry | 30 | 14 |
V | Linear Programming | 20 | 05 |
VI | Probability | 30 | 08 |
Total | 240 | 80 | |
Internal Assessment | 20 |
CBSE Class 12 Mathematics Syllabus 2024-25: Chapter-wise
The chapters and topics that are included in each unit of the CBSE class 12 Maths Syllabus 2025 are given below:
Unit I: Relations and Functions
This unit comprises the following chapters and topics:
- Relations and Functions [15 Periods]
Types of relations: reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions.
- Inverse Trigonometric Functions [15 Periods]
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Unit II: Algebra
- Matrices [25 Periods]
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. Noncommutativity of multiplication of matrices and existence of non-zero 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).
- Determinants [25 Periods]
Determinant 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 a system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.
Unit-III: Calculus
- Continuity and Differentiability [20 Periods]
Continuity and differentiability, chain rule, derivative 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, a derivative of functions expressed in parametric forms. Second-order derivatives.
- Applications of Derivatives [10 Periods]
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).
- Integrals [20 Periods]
Integration as the 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.
- Applications of the Integrals [15 Periods]
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only).
- Differential Equations [15 Periods]
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:
dy dx + py = q, where p and q are functions of x or constants. dx dy + px = q, where p and q are functions of y or constants.
Unit-IV: Vectors and Three-Dimensional Geometry
- Vectors [15 Periods]
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.
- Three-dimensional Geometry [15 Periods]
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
- Linear Programming [20 Periods]
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
- Probability [30 Periods]
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean of random variable.
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CBSE Class 12 Math Sample Paper 2025
CBSE Class 12 Mathematics Syllabus 2024-25: Question Paper Pattern
The questions in the CBSE class 12 Mathematics exam are set from the NCERT. The questions do not come from outside the syllabus except for some of the questions. The question paper pattern of the CBSE class 12 Mathematics theory exam will be as follows:
S. No. | Types of Questions | Total Marks | Percentage Weightage |
---|---|---|---|
1 | Remembering and Understanding | 44 | 55 |
2 | Applying | 20 | 25 |
3 | Analyzing, Evaluating, and Creating | 16 | 20 |
Total | 80 | 100 |
CBSE Class 12 Mathematics Deleted Syllabus 2024-25
The topics that were excluded from the CBSE class 12 Mathematics syllabus in 2022, will be deleted in the academic session 2024-25 as well. Go through the deleted portion of the CBSE class 12 Maths syllabus 2025:
Chapter Name | Deleted Topics |
---|---|
Relations and Functions | Composite functions, inverse of a function |
Inverse Trigonometric Functions | Elementary properties of inverse trigonometric functions |
Matrices | Concept of elementary row and column operations |
Determinants | Properties of determinants |
Continuity and Differentiability | Derivative of composite function, Rolle’s and Lagrange’s Mean Value, theorems (without proof) and their geometric interpretation |
Applications of Derivatives | Tangents and Normals, use of derivatives in approximation |
Integrals | Definite integrals as a limit of a sum |
Applications of Integrals | Area between any one of the two curves |
Vectors | Scalar triple product of vectors |
Three Dimensional Geometry | Coplanar lines, cartesian and vector equation of a plane, angle between two lines, two planes, a line and a plane, distance of a point from a plane |
Linear Programming | Different types of linear programming problems, mathematical formulation of L.P. problems, variance of random variable |
CBSE Class 12 Mathematics Syllabus 2024-25: Deleted Topics List
Check out the number of pages as well as the number of questions that have been excluded from the syllabus provided below:
Chapter | Page Number | Dropped Topics/Chapters |
---|---|---|
Chapter 7: Integrals | 290–291 291–292 298–299 613–616 331–334 352–354 355 | Points (xi)–(xiii) in the List of Derivatives 7.2.1 Geometrical Interpretation of Indefinite Integral 7.2.3 Comparison between Differentiation and Integration 7.6.3 Type of Integral 7.7.1 Definite Integral as the Limit of a Sum Ques. 19, 32, 40 and 44 Point 2 in the Summary (xiv) and (xv) in Some Standard Integrals |
Chapter 8: Application of Integrals | 363–365 366 366–372 373–376 377 | 8.2.1 The Area of the Region Bounded by a Curve and a Line Ques. 3 and 6–11 in Exercise 8.1 8.3 Area between Two Curves Examples 11, 13 and 14 Ques. 2–3, 6–7, 8–15, 18– 19 (Miscellaneous Exercise) Last Two Points of the Summary |
Chapter 9: Differential Equations | 385–391 415–416 420–422 | 9.4 Formation of Differential Equations whose General Solution is Given Example 25 Ques. 3, 5 and 15 (Miscellaneous Exercise), Point Six of the Summary |
Chapter 10: Vector Algebra | 616–619 619–622 | 10.7 Scalar Triple Product 10.7.1 Coplanarity of Three Vectors |
Chapter 11: Three-Dimensional Geometry | 465 469–471 477–478 479–497 497–499 500–501 502–503 | 11.2.1 Relation between the Direction Cosines of a Line 11.3.2 Equation of a Line Passing through Two Given Points, Ques. 8–9 (Exercise 11.2) 11.6 Plane 11.7 Coplanarity of Two Lines 11.8 Angle between Two Planes 11.9 Distance of a Point from a Line 11.10 Angle between a Line and a Plane Ques. 1, 2, 5, 7–8, 10–19, 21–23 (Miscellaneous Exercise) Summary Points 13, 20–24 Full Pages |
Chapter 12: Linear Programming | 514–527 528–529 | 12.3 Different Types of Linear Programming Problems \ Summary Points 2–9 |
Chapter 13: Probability | 557–558 558–559 559–564 565–571 572–578 579–581 583 585–586 | 13.6 Random Variables and Its Probability Distributions Example 22 and 23 13.6.1 Probability Distribution of a Random Variable 13.6.2 Mean of Random Variables 13.6.3 Variance of a Random Variable 13.7 Bernoulli Trials and Binomial Distribution Example 34 and 35 Ques. 5–7, 9–11 (Miscellaneous Exercise) Last 3 Points of the Summary |
Answers | 594,596–599, 601, 604–612 | Answers of Exercises |
CBSE Class 12 Mathematics Syllabus 2024-25: Prescribed Books
Students of class 12 must refer to other reference books apart from the CBSE class 12 NCERT book for Maths. The list of prescribed books for the CBSE 12th Mathematics exam is provided below:
Reference Book | Author Name |
---|---|
Senior Secondary School Math 12 | R.S. Aggarwal |
I.I.T. Mathematics | M.L. Khanna |
Problems Plus in IIT Mathematics | A Das Gupta |
CBSE Chapter-Wise Solutions – Mathematics | Hemant Malhotra |
Solutions of Objective Mathematics with Chapter Tests | Dhanpat Rai |
CBSE Examination Mathematics: 15 Sample Question Papers | Prem Kumar |
The Council will release the detailed CBSE 12th Date Sheet 2025 in the last week of December 2024 tentatively. Students are advised to complete the CBSE Class 12 syllabus 2024-25 at least 2 months before the exam begins and dedicate the time to solving the CBSE Previous Year Question Papers Class 12 .