The syllabus for the CBSE Mathematics for the session 2024-25 has been released by the Central Board of Secondary Education (CBSE). There is a total of 6 units which are divided into 13 chapters. Most important chapters (or units) are Calculus, Vectors and Algebra. Calculus itself alone covers the majority of the examination i.e., 35 marks out of 80.
Maximum marks for the theory paper are 80, while 20 marks are carried by the internal assessment. Passing marks in maths class 12 CBSE is 33% of the total marks. The topics deleted from the CBSE Class 12 Maths Syllabus in the previous session remain excluded for the 2024-25 session as well. In this article, we have provided a detailed and easy-to-understand, topic-wise syllabus with marks distribution.
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- CBSE Class 12 Chapter-Wise Marks Distribution
- What is Syllabus for Maths in CBSE 2024-25?
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- CBSE Class 12 Mathematics Standard Question Paper Design 2024-25
- What are the major changes in the CBSE Class 12 Maths syllabus for 2024-25?
- Prescribed Books for Maths Class 12 Syllabus Chapter Wise
- CBSE Class 12 Maths Previous Year Question Papers
- Common Questions on CBSE Class 12 Maths Syllabus
9.1 How many units are there in the CBSE Class 12 Maths Syllabus NCERT?
9.3 How is an internal assessment conducted for Class 12 Maths?
CBSE Class 12 Maths Paper Pattern
The question paper pattern for CBSE Class 12 Maths Theory Paper 2024 is as follows:
| Section A | MCQs | 20 | 1 × 20 = 20 |
|---|---|---|---|
| Section B | Very Short Answer Questions | 05 | 2 × 5 = 10 |
| Section C | Short Answer Questions | 06 | 3 × 6 = 18 |
| Section D | Long Answer Questions | 04 | 4 × 5 = 20 |
| Section E | Source Based/Case Study Based | 03 | 3 × 4 = 12 |
| Total | 80 Marks | ||
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CBSE Class 12 Chapter-Wise Marks Distribution
In the given table we have mentioned the marks weightage for the each units. Calculus is the most important and of course carries the maximum marks weightage, i.e., a total of 35 marks out of 80. Apart from this Vectors and Algebra is also one of the most important topics. Here’s a detailed marks distribution-
| CBSE Class 12 Maths Syllabus 2024-25 Chapter-Wise Weightage | ||
|---|---|---|
| No | Units | Marks |
| I | Relations and Functions | 08 |
| II | Algebra | 10 |
| III | Calculus | 35 |
| IV | Vectors and Three–Dimensional Geometry | 14 |
| V | Linear Programming | 05 |
| VI | Probability | 08 |
| TOTAL | 80 | |
| Internal Assessment | 20 | |
What is Syllabus for Maths in CBSE 2024-25?
Below is the syllabus for Maths in CBSE along with the chapters and topics. Students may go through this syllabus for the better understanding:
| CBSE Class 12 Maths Syllabus 2024-25 Chapter-Wise Topics | ||
|---|---|---|
| S.No | Chapter Name | Topics |
| 1. | Relations and Functions | Types of relations: reflexive, symmetric, transitive and equivalence relations.inverse trigonometric functions. |
| 2. | Inverse Trigonometric Functions | Definition, range, domain, principal value branch.Graphs of inverse trigonometric functions.Elementary properties of inverse trigonometric functions. |
| 3. | Matrices | Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices.Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication.Commutativity of multiplication of matrices and the existence of non-zero matrices whose product is the zero matrices.Invertible matrices and proof of the uniqueness of inverse. |
| 4. | Determinants | Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors 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 using the inverse of a matrix. |
| 5. | Continuity and Differentiability | Continuity and differentiability, derivatives of inverse trigonometric functions, derivative of implicit functions, Concepts of exponential and logarithmicfunctions.Derivatives of logarithmic and exponential functions.Logarithmic differentiation is a derivative of functions expressed in parametric forms. Second-order derivatives. |
| 6. | Application of Derivatives | Applications of derivatives: rate of change of bodies, increasing/decreasing functions.Use of derivatives in maxima and minima. |
| 7. | Integrals | Integration is 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. |
| 8. | Application of Integrals | Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form) |
| 9. | 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 given type. |
| 10. | Vector Algebra | 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, scalar triple product of vectors. |
| 11. | Three Dimensional Geometry | Direction cosines and direction ratios of a line joining two points.Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines, and Cartesian and vector equation of a plane.Angle between two lines. |
| 12. | Linear Programming | Introduction, related terminology such as constraints, objective function, optimization, and different types of linear programming problems.The mathematical formulation of L.P. Problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| 13. | Probability | Conditional probability, multiplication theorem on probabilityIndependent events, total probability, Baye’s theorem, Random variable and its probability distribution, mean and variance of a random variable. |
Maths Deleted Syllabus Class 12 Exercise Wise
The topics that were excluded from the CBSE Class 12 Maths Syllabus in the academic year 2023-24 remain excluded this academic year also. Students can check out the deleted topics of the CBSE Class 12 Maths Syllabus from the below table:
| Chapters | 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 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 Standard Question Paper Design 2024-25
Time: 3 Hours Max. Marks: 80
| S.No. | Typology of Questions | TotalMarks | %Weightage(approx.) |
|---|---|---|---|
| 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 | 43 | 54 |
| 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 generalizationsEvaluating: 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
| Periodic Tests ( Best 2 out of 3 tests conducted) | 10 Marks |
|---|---|
| Mathematics Activities | 10 Marks |
What are the major changes in the CBSE Class 12 Maths syllabus for 2024-25?
| Periodic Assessment | Academic Session 2023-24 | Academic Session 2024-25 |
| Composition of question paper for year-end examination/ Board Examination (Theory) |
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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
CBSE Class 12 Maths Previous Year Question Papers
CBSE Class 12 Maths last 10 year question papers are tabulated below. This will help the students to know the most repeated questions in the CBSE Class 12 Maths exam:
| Year | Class 12 Maths Question Paper |
|---|---|
| 2024 | CBSE Class 12 Question Paper 2024 |
| 2023 | CBSE Class 12 Question Paper 2023 |
| 2022 | CBSE Class 12 Question Paper 2022 |
| 2020 | CBSE Class 12 Question Paper 2020 |
| 2019 | CBSE Class 12 Question Paper 2019 |
| 2018 | CBSE Class 12 Question Paper 2018 |
| 2017 | CBSE Class 12 Question Paper 2017 |
| 2016 | CBSE Class 12 Question Paper 2016 |
| 2015 | CBSE Class 12 Question Paper 2015 |
| 2014 | CBSE Class 12 Question Paper 2014 |
| 2013 | CBSE Class 12 Question Paper 2013 |
| 2012 | CBSE Class 12 Question Paper 2012 |
Common Questions on CBSE Class 12 Maths Syllabus
How many units are there in the CBSE Class 12 Maths Syllabus NCERT?
There are a total of 6 units in CBSE Class 12 mathematics which are further divided into 13 chapters.
Is CBSE 12th Maths tough?
The difficulty of CBSE Class 12 Mathematics can vary depending on your preparation, interest in the subject, and understanding of the concepts. Some other reasons it might feel tough are due to its wide syllabus, conceptual depth, application oriented questions, pressures etc.
How is an internal assessment conducted for Class 12 Maths?
The internal assessment for Class 12 Mathematics in CBSE is of 20 marks and evaluates students through a combination of periodic tests and practical activities. 10 marks are assigned to periodic tests conducted during the academic year, with the best two scores considered for final grading. The remaining 10 marks are based on practical activities from the Mathematics Lab Manual.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
Comments
Found 2 Comments
The probability section of the Mathematics subject consists of 8 marks. This section includes one chapter, and the topics are multiplication theorem on probability, mean of a random variable, Conditional probability, independent events, total probability, and more.
For more information, refer to this link: Class 12 Maths Syllabus 2022-23
Term 2 of the class 12th exam will include only one paper. This term 2 will be 40 marks. Some topics in this section are Calculus, Vectors and Three Dimensional Geometry, and Probability. You can check the whole syllabus in detail in this article.
For more information, refer to this link: Mathematics Term II Syllabus for 2022