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CBSE Class 12 Maths Syllabus 2024-25
The CBSE Class 12 Maths Syllabus 2024-25 is a revised version of the old class 12 syllabus. The Class 12 Maths Syllabus 2025 has undergone periodic revisions in response to the field’s expansion and the changing demands of society. The math syllabus for class 12 in 2024–2025 is designed to assist students in achieving academic success in mathematics.
The Class 12 Mathematics Syllabus Downloadable PDF includes the updated paper marking guidelines and assessment criteria. Get the latest syllabus pdf from this article to efficiently organize your studies and perform exceptionally well.
Class 12 Maths Syllabus 2025: Overview
The new CBSE Class 12 Maths Syllabus 2024-25 plays an important role in gaining critical comprehension and knowledge of fundamental ideas, symbols, terminology, concepts, principles, and the ability to grasp procedures and abilities. This all-inclusive CBSE Maths Syllabus of Class 12 PDF 2024-25 covers all pertinent ideas, and updates.
The Class 12 Maths curriculum prepares a base to pursue professional courses or further academic study in mathematics. To address the evolving demands of all categories, the current revised CBSE Class 12 Maths syllabus has been created in compliance with the National Curriculum Framework of 2005 and the recommendations provided in the Focus Group on Teaching of Mathematics in 2005.
CBSE Class 12 Maths Paper Pattern 2024-25
The maths exam pattern and marking scheme can be found in the CBSE Class 12 Maths Syllabus 2024-25. The official CBSE Math Class 12 syllabus aids in understanding the concepts involved in establishing a conclusion or resolving an issue. Read the overview of the Math exam pattern below.
- The Class 12 Maths paper will be of total 80 marks.
- Total 2 hours are provided in the exam.
| Maths Chapters and Marking Scheme | |||
| No. | Units | No. of Periods | Marks |
| I. | Relations and Functions | 30 | 8 |
| II. | Algebra | 50 | 10 |
| III. | Calculus | 80 | 35 |
| IV. | Vectors and Three – Dimensional Geometry | 30 | 14 |
| V. | Linear Programming | 20 | 5 |
| VI. | Probability | 30 | 8 |
| Total | 240 | 80 | |
|
Internal Assessment
|
20 | ||
| QUESTION PAPER DESIGN CLASS – XII (2024-25) | |||
| S. No. |
Typology of Questions | Total Marks | % 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 | |
|
INTERNAL ASSESSMENT (20 MARKS)
|
|
|
Periodic Tests ( Best 2 out of 3 tests conducted)
|
10 Marks |
|
Mathematics Activities
|
10 Marks |
Note – For activities NCERT Lab Manual may be referred.
What are the changes made to Maths Class 12 Syllabus 2024-25?
The new Maths class 12 Syllabus 2024-25 has undergone many revisions, some of the are listed below. The CBSE Math Class 10 Syllabus has been updated for 2024–2025 academic year.
- Class 10 Maths revised syllabus states that in order to simplify the curriculum, several sections have been eliminated.
- The suggested online study materials and digital tools have been prepared based on the Math Class 10 CBSE syllabus.
- The Maths marking scheme 2024–25 has been modified to emphasize analytical abilities, comprehension, and critical thinking.
- The primary goal of the Class 12 Maths Syllabus is to apply practical mathematical principles.
Class 12 Maths Syllabus 2024-25 CBSE
Checkout the detailed Class 12 Maths Syllabus 2024-25 CBSE in the following section-
Class 12 Maths Detailed Syllabus
Unit-I: Relations and Functions
1. Relations and Functions (15 Periods)
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
2. 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. Non- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict 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
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 system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using 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, derivative of functions expressed in parametric forms. Second order derivatives.
2. 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).
3. Integrals (20 Periods)
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.
∫ x2 ± a2, ∫ √x2 ± a2 , ∫ √a2 − x2 , ∫ ax2 + bx + c , ∫ √ax2 + 𝑏𝑥 + 𝑐
px + q
∫ ax2 + bx + c
px + q
dx, ∫ dx, ∫ √a2 ± x2 dx, ∫ √x2 − a2 dx
√ax2+bx + c
∫ √𝑎𝑥2 + 𝑏𝑥 + 𝑐 𝑑𝑥,
Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
4. Applications of the Integrals (15 Periods)
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
5. 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 d𝑥 d𝑦
+ py = q, where p and q are functions of x or constants.
+ 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.
2. 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.
CBSE Maths Class 12 Syllabus 2024-25 PDF Download Link
Download the full Class 12 Mathematics syllabus here – CBSE Class 12 Maths Syllabus 2024-25 PDF.
This pdf also includes the class 11 CBSE Maths syllabus. Before start studying you should read the syllabus multiple times to get a proper idea.
CBSE Class 12 Maths Syllabus 2024-25: Recommended Books
Here are some of the Prescribed Books by the CBSE Board.
1) Mathematics Textbook for Class XI, NCERT Publications
2) Mathematics Part I – Textbook for Class XII, NCERT Publication
3) Mathematics Part II – Textbook for Class XII, NCERT Publication
4) Mathematics Exemplar Problem for Class XI, Published by NCERT
5) Mathematics Exemplar Problem for Class XII, Published by NCERT
6) Mathematics Lab Manual class XI, published by NCERT
7) Mathematics Lab Manual class XII, published by NCERT
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