CBSE Class 12 Mathematics Syllabus 2024-25 - CBSE 12th Class Mathematics Syllabus Download PDF

Deepansh Sharma

Updated On: May 22, 2024 08:23 PM

CBSE Class 12 Mathematics Syllabus is released by the Central Board of Secondary Education for the Academic @cbseacademic.nic.in. Students can find the direct link to download the CBSE 12th Mathematics curriculum here!

CBSE Class 12 Mathematics Syllabus 2024-25
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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.

Also Read- CBSE Class 12 Mathematics Important Question

CBSE Class 12 Mathematics Syllabus 2024-25 PDF Download

Download CBSE Class 12 Mathematics Syllabus 2024-25 PDF

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:

  1. Relations and Functions [15 Periods]

Types of relations: reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions.

  1. Inverse Trigonometric Functions [15 Periods]

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit II: Algebra

  1. 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).

  1. 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

  1. 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.

  1. 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).

  1. 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.

  1. Applications of the Integrals [15 Periods]

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only).

  1. 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

  1. 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.

  1. 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

  1. 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

  1. 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.
Also Read- 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 .

FAQs

What is the total number of questions in the CBSE Class 12th Maths theory paper 2025?

There will be at most 38 questions in the CBSE class 12th Mathematics theory paper. Moreover, there will be no overall choice, however, 33% of internal choices will be given in the paper. 

What are the minimum passing marks for a CBSE Class 12 Mathematics theory paper?

A student must score a minimum of 33% marks in the CBSE Class 12 Mathematics theory paper to pass the subject. 

How many units are there in the CBSE class 12 Maths Syllabus 2025?

There are a total of 6 units in the CBSE class 12 Maths Syllabus 2025. These 6 units are again divided into 13 chapters.

Where can I find the latest and updated CBSE class 12 Mathematics Syllabus 2025?

You can find the CBSE class 12 Mathematics Syllabus 2024-25 on the CBSE Board’s official website. You can also check and download the detailed syllabus from this page.

Which unit in the CBSE Class 12 Maths Syllabus 2025 carries maximum weightage?

The Unit 3 Calculus will carry the maximum weightage of 35 marks in the CBSE Class 12 Maths Syllabus 2024-25. 

How many chapters from the CBSE 12th Mathematics syllabus have been deleted?

CBSE Board will continue with the 30% reduced CBSE class 12th Maths syllabus in the 2024-25 academic year as well. The board has deleted around 5 chapters from the CBSE Class 12 Maths Syllabus. 

What is the CBSE Class 12 Maths syllabus for 2025?

The CBSE class 12th Maths syllabus 2025 will be released by the Central Board of Secondary Education on its official website. Students can check and download the syllabus from this page as given above.

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