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CBSE Class 12 Maths Syllabus 2024-25: Updated Curriculum

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Maths Syllabus Class 12 CBSE 2024-25 - FREE PDF Download

The Class 12 Maths syllabus 2024-25 has been revised, as per the guidelines set by the Central Board of Secondary Education (CBSE). The syllabus comprises six units, covering various topics including relations and functions, algebra, calculus, vectors and three-dimensional geometry, and linear programming.

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Table of Content
1. Maths Syllabus Class 12 CBSE 2024-25 - FREE PDF Download
2. New Updations of the CBSE Maths Class 12 Syllabus
3. Maths Syllabus Class 12 CBSE 2024-25 Course Structure
4. Quick Overview of CBSE Maths Class 12 Syllabus 2024-25
5. CBSE Maths Class 12 Syllabus 2024-25 - Deleted Topics
6. CBSE Maths Class 12 Syllabus 2024-25 - (041) Question Paper Design
    6.1Internal Assessment
    6.2Conduct of Periodic Tests:
    6.3Assessment of Activity Work: 
7. Benefits of Class 12 Maths Syllabus 2024-25 PDF Download
8. Prescribed Books for Maths Class 12 Syllabus Chapter Wise
9. Related Topic Pages for Class 12 Maths
10. Related Study Materials Links for Class 12 Maths
FAQs


The updated CBSE Class 12 syllabus provides information on mathematics education, emphasising problem-solving, and practical applications. To access the detailed Maths syllabus Class 12 CBSE 2024-25 PDF, you can download the PDF version from Vedantu. The syllabus provides valuable insights into the examination pattern, question paper design, and internal assessment structure.


New Updations of the CBSE Maths Class 12 Syllabus

  • The number of units has been increased from five to six.

  • Increased focus on problem-solving skills

  • Several new topics have been added, such as matrices, determinants, and inverse trigonometric functions.

  • Removal of some topics, such as sets and relations.

  • A greater emphasis on applications of mathematics.

Competitive Exams after 12th Science
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Maths Syllabus Class 12 CBSE 2024-25 Course Structure

The table below shows the course structure and the distribution of marks in the updated CBSE Class 12 Maths Syllabus 2024-25.


S.No.

Unit Name

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

100


Internal Assessment

-

20



Quick Overview of CBSE Maths Class 12 Syllabus 2024-25

The CBSE Maths Class 12 Syllabus 2024-25 provides interesting chapters and topics. It starts with the basics of mathematics and later into complex concepts. Check out the table below for a breakdown of what you'll be learning in each unit.


Units

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 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).

2. Determinants

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 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

Continuity and differentiability, chain rule, a derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin-1x cos-1x tan-1x, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation is a 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 is the inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and 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. Applications 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. The angle between two lines.

Unit-V: Linear Programming

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, Random variable, and its probability distribution, mean of a random variable.



CBSE Maths Class 12 Syllabus 2024-25 - Deleted Topics

The Class 12 Maths Deleted Syllabus 2024-25 is available here. There are a few topics, examples, and even entire chapters that are no longer part of the curriculum. The table below shows the removed sections, so you and your teachers can focus on the most relevant material for your exams.


Unit Name

Chapter Name

Deleted Topic

Relations and Functions

Relations and Functions

Composite functions, Inverse of a function

Relations and Functions

Inverse Trigonometric Functions

Elementary properties of inverse trigonometric functions

Algebra

Matrices

Concept of elementary row and column operations

Algebra

Determinants

Properties of determinants

Calculus

Continuity and Differentiability

Derivative of a composite function

Calculus

Applications of Derivatives

Tangents and normals, Use of derivatives in approximation

Calculus

Integrals

Definite integrals as a limit of a sum

Calculus

Applications of Integrals

The area between any of the two above-said curves

Vectors and Three-Dimensional Geometry

Vectors

Scalar triple product of vectors

Vectors and Three-Dimensional Geometry

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

Linear Programming

Different types of linear programming (L.P.) problems, The mathematical formulation of L.P. problems

Probability

Probability

Variance of random variable



Students can also check the number of pages and the number of questions that have been deleted from the below table:


Chapter

Page No.

Dropped Topics/Chapters

7: Integrals

290–291, 291–292, 298–299, 613–616

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

7: Integrals


Ques. 19, 32, 40, and 44 (Exercise 7.1), Point 2 in the Summary, (xiv) and (xv) in Some Standard Integrals

8: Application of Integrals

363–365, 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 (Exercise 8.1)

8: Application of Integrals


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

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

10: Vector Algebra

616–619, 619–622

10.7 Scalar Triple Product, 10.7.1 Coplanarity of Three Vectors

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 in Exercise 11.2)

11: Three-Dimensional Geometry


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

12: Linear Programming

514–527, 528–529

12.3 Different Types of Linear Programming Problems (Summary Points 2–9)

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 (Examples 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 7.1, 8.1, 11.1 & 13.1



CBSE Maths Class 12 Syllabus 2024-25 - (041) Question Paper Design

The Central Board of Secondary Education (CBSE) has released the question paper design for the upcoming 2024-25 academic year Maths exam for Class 12 (code 041). This breakdown outlines the format and types of questions you can expect for the test.


S.No.

Typology of Questions

Total Marks

% Weightage

1

Remembering & Understanding

44

55


Exhibit Mof Learned Material:

Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.




Demonstrate Understanding of Concepts.

Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas.



2

Applying

20

25


Solve Problems in New Situations.

Solve problems in new situations by applying acquired knowledge, facts, techniques, and rules in a different way.



3

Analysing & Evaluating

16

20


Examine and Break Down Information.

Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalisations.




Make Judgments and Evaluate Ideas.

Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. 



Total


80

100



Internal Assessment

Component

Marks

Periodic Tests (Best 2 out of 3)

10

Mathematics Activities

10



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 the periodic test 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:


Component

Marks

Activities Performed Throughout the Year (Record Keeping)

5

Year-End Test

3

Viva Voce

2

Total

10



Assessment of Activity Work: 

Throughout the year any 10 activities shall be performed by the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) record of the same may be kept by the student. A year-end test on the activity may be conducted.


The weightage is as under:


  • The activities performed by the student throughout the year and record keeping: 5 marks

  • Assessment of the activity performed during the year-end test: 3 marks

  • Viva-voce: 2 marks


Benefits of Class 12 Maths Syllabus 2024-25 PDF Download

Download Class 12 Maths Syllabus 2024-25 PDF. Here are some reasons why downloading your syllabus is a must-do:


  1. The Syllabus outlines the topics you'll cover, the source of learning, and important deadlines. 

  2. The syllabus often lists learning objectives and assessment formats. Use this information to start researching key concepts, browsing recommended resources, or even forming study groups with classmates. 

  3. A syllabus often contains information beyond the textbook that can enhance your understanding and offer different perspectives on the material.

  4. The syllabus outlines the types of assessments you'll face and their weighting. With this knowledge, you can prepare your study strategies for each specific format.

  5. A downloaded syllabus is always at your fingertips. Need to double-check a due date, revisit a specific topic, or stay updated on any changes announced by your teacher.

  6. Having the syllabus readily available keeps you organised and ensures you're meeting all course expectations.


Prescribed Books for Maths Class 12 Syllabus Chapter Wise

1) Mathematics Part I - Textbook for Class XII, NCERT Publication

2) Mathematics Part II - Textbook for Class XII, NCERT Publication

3) Mathematics Exemplar Problem for Class XII, Published by NCERT

4) Mathematics Lab Manual class XII, Published by NCERT


The Maths Class 12 Syllabus Chapter Wise provides students with a comprehensive understanding of core mathematical concepts and their applications. This revised Class 12 Maths Syllabus 2024-25 PDF emphasises not only foundational knowledge but also the ability to analyse, solve problems, and apply mathematical principles to real-world scenarios. The focus on internal assessments through activities and projects encourages exploration, critical thinking, and the development of valuable skills. With active learning, students can understand the course.


Related Topic Pages for Class 12 Maths



Related Study Materials Links for Class 12 Maths

FAQs on CBSE Class 12 Maths Syllabus 2024-25: Updated Curriculum

1. How many units are there in the CBSE Class 12 Maths Syllabus NCERT? Which unit has the highest weightage?

In the CBSE Class 12 Maths Syllabus NCERT, there are a total of 6 units. Unit 3 Calculus of Maths has the highest weightage of 35 marks. Many students find calculus a difficult topic, but it's not true. Students can make their grasp strong over calculus by understanding the concepts and practising questions given in the NCERT book, and also solving previous year's question papers of the board exams. Calculus is not only an important topic of board exams, but is also important from the competitive exams' point of view. So this chapter must not be taken lightly.

2. Why is it important to go through the Class 12 Mathematics Syllabus before starting the preparation of maths?

It is quite important to go through the syllabus before starting the preparation for maths.  Because the students can prepare a study plan based on the syllabus. They can also get an idea about the purpose of the course and how to score good marks in the subject. A piece of knowledge about the syllabus beforehand also makes it easy for the students to prepare a course calendar for them, and they can invest time in different topics and assignments based on that.

3. How effectively can students use the CBSE class 12 maths syllabus?

Students can chalk out a study plan based on the CBSE class12 maths syllabus from day one of their class. Students can prepare themselves before the topic is taught in the classroom so that when the same topic is taught in the class they will already have a skeleton of the topic in their mind. In that way, they can strengthen their grasp of the topic and easily find out their weak points in that particular topic. Knowledge about the syllabus also helps the students to keep track of the already completed topics regularly.

4. Why should we download the NCERT Class 12 Maths Syllabus from Vedantu?

Vedantu provides the updated NCERT Syllabus for Class 12 Maths. The PDF of the syllabus is available online and can be easily downloaded. The syllabus is thus always with the student whenever they want they can have a view of the PDF of the syllabus. They can plan or replan their study schedule according to that without always carrying a cumbersome hard copy of the syllabus with them. 

5. What are the objectives of teaching Mathematics in the CBSE Class 12 syllabus?

Mathematics helps students to acquaint themselves with the day-to-day calculations needed in everyday life. They also create a positive attitude toward thinking and analysing. Overall they create a critical knowledge and understanding of the subject by proper development of concepts and principles. Mathematics also creates a sense of national integration among them, and they start valuing their nation and the work of great mathematicians.

6. What are the major changes in the CBSE Class 12 Maths syllabus for 2024-25?

The syllabus remains largely unchanged from the previous year. However, the board is continuously striving to improve the learning experience. It's recommended to refer to the official CBSE website for any minor adjustments or clarifications.

7. What are the key areas covered in the Maths syllabus?

The Maths syllabus focuses on six main areas:

  • Relations and Functions: Introduces core concepts of functions, inverse trigonometric functions, and their applications.

  • Algebra: Delves into matrices, determinants, their properties, and applications in solving linear equations.

  • Calculus: Covers differentiation, integration, and their applications in solving various problems like finding areas and maxima/minima.

  • Vectors and Three-Dimensional Geometry: Introduces vectors, their properties, operations, and applications in 3D geometry.

  • Linear Programming: Explores a fundamental optimization technique for solving problems with constraints.

  • Probability: Introduces the concept of probability, conditional probability, Bayes' theorem, and random variables.

8. How will the exams be structured for Class 12 Maths?

The exams will assess students' understanding and problem-solving skills across all the covered areas. Expect a combination of:

  • Objective questions: Testing knowledge of formulas, concepts, and basic calculations.

  • Short answer questions: Assessing understanding and application of concepts to solve problems.

  • Long answer questions: Evaluating in-depth knowledge and the ability to solve complex problems with multiple steps.

  • NCERT Laboratory Manual for Class 12 (for activities) -

9. How is an internal assessment conducted for Class 12 Maths?

Internal assessment comprises 20 marks and is divided into two parts:

  • Periodic Tests (10 Marks): The best two scores from a series of three class tests are considered.

  • Mathematics Activities (10 Marks): Students perform 10 activities from the NCERT Laboratory Manual throughout the year. These activities may involve projects, assignments, presentations, or model building. There's also a year-end assessment and viva voce based on the completed activities.

10. What are the key differences between the Class 11 and Class 12 Maths syllabuses?

The Class 12 syllabus builds upon the foundation laid in the Class 11 syllabus. It introduces new topics like matrices, determinants, calculus, vectors, and linear programming, along with more complex concepts like probability and statistics.