CBSE Class 12 Maths Syllabus 2023-24, PDF Download Link
CBSE Class 12 Mathematics Syllabus: CBSE Class 12 Mathematics Syllabus for the academic year 2023-2024 is available on this page for download in PDF. The CBSE Class 12 Mathematics syllabus occasionally changes to stay aligned with the subject's growth and changing societal requirements.
Thoroughly preparing this syllabus equips students with the option to continue their Math education or explore career paths in fields like Engineering, Science, Commerce, or Computer Applications.
The revised syllabus aligns with the 2005 National Curriculum Framework and recommendations from the Focus Group on Teaching of Mathematics 2005. It aims to cater to the varying needs of all students, ensuring they are well-prepared for their future academic and professional pursuits.
CBSE Class 12 Maths Syllabus
CBSE Class 12 Mathematics Syllabus 2023-24: The Central Board of Secondary Education has released the CBSE Class 12 Mathematics Syllabus (subject code 041) for the academic year 2023-2024. The syllabus comprises six units, and the theory examination will be out of 80 marks. Unlike traditional chapter-wise mark allocation, the syllabus emphasises the competencies assessed by the questions. Students can access the full syllabus details and even download the CBSE Class 12 Maths Syllabus 2023-24 PDF from this article.
CBSE Class 12 Syllabus 2023-24 PDF Download
The candidates can download the CBSE Class 12 Maths Syllabus 2023-24 PDF by clicking the link below. The CBSE Class Maths Syllabus has been released by the CBSE board on its official website @cbse.gov.in.
CBSE Class 12 Syllabus PDF 2023- 24
CBSE Class 12 Syllabus Highlights
The table below helps students to get a brief overview of the CBSE Class 12 Mathematics Syllabus:
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CBSE Class 12 Mathematics Syllabus Highlights |
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Subject |
Mathematics |
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Category |
Syllabus |
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Released by |
Central Board of Secondary Education |
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Academic Year |
2023-24 |
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Subject Code |
041 |
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Marking Scheme |
100 (80 marks theory + 20 marks project) |
CBSE Class 12 Mathematics Syllabus 2023-24 With Marking Scheme
The table provided shows the distribution of marks and the corresponding teaching periods. The CBSE Class 12 Maths theory paper will be off 80 marks, and there will be an additional 20 marks allocated for internal assessment, summing up to a total of 100 marks.
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CBSE Class 12 Mathematics Syllabus 2023-24 With Marking Scheme |
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S.No. |
Unit |
No.of periods |
Marks |
|
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Relations and Functions |
30 |
08 |
|
|
Algebra |
50 |
10 |
|
|
Calculus |
80 |
35 |
|
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Vectors and Three-Dimensional Geometry |
30 |
14 |
|
|
Linear Programming |
20 |
05 |
|
|
Probability |
30 |
08 |
|
Totaal |
240 |
80 |
|
|
Internal Assessment |
20 |
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CBSE Class 12 Maths Syllabus 2024 Topics Covered
Unit-I: Relations and Functions
The topics covered in Unit 1 are discussed below:
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Relations and Functions: ypes of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
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Inverse Trigonometric Functions: Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Unit-II: Algebra
The topics covered in Unit 2 are discussed below:
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. 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 accurate entries).
2. Determinants:
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Determinant of a square matrix
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Minors, co-factors and applications of determinants in finding the area of a triangle.
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Adjoint and inverse of a square matrix.
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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
The topics covered in Unit 3 are discussed below:
1. Continuity and Differentiability
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Continuity and differentiability,
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chain rule,
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derivative of inverse trigonometric functions,
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Concept of exponential and logarithmic functions.
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Derivatives of logarithmic and exponential functions.
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Logarithmic differentiation,
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Derivative of functions expressed in parametric forms.
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Second order derivatives.
2. Applications of Derivatives:
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Rate of change of quantities,
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Increasing/decreasing functions,
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Maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).
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Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations).
3. Integrals
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Integration as inverse process of differentiation.
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Integration of a variety of functions by substitution, by partial fractions and by parts,
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Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus (without proof).
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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
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Definition of differential equations,
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Order and degree of differential equations,
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General and particular solutions of a differential equation.
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Solution of differential equations by method of separation of variables,
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Solutions of homogeneous differential equations of first order and first degree.
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Solutions of linear differential equation of the type: dy dx + py = q,
Unit-IV: Vectors and Three-Dimensional Geometry
The topics covered in Unit 4 are discussed below:
1. Vectors:
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Vectors and scalars,
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Magnitude and direction of a vector.
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Direction cosines and direction ratios of a vector.
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Types of vectors
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Position vector of a point, negative of a vector,
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components of a vector,
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Addition of vectors,
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Multiplication of a vector by a scalar,
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Position vector of a point dividing a line segment in a given ratio.
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Properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
2. Three - dimensional Geometry
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Direction cosines and direction ratios of a line joining two points.
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Cartesian equation and vector equation of a line,
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Skew lines, shortest distance between two lines.
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Angle between two lines.
Unit-V: Linear Programming
The topics covered in Unit 5 are discussed below:
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Introduction to Linera Programming
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Related terminology such as constraints,
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Objective function,
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Optimisation,
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Graphical method of solution for problems in two variables,
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Feasible and infeasible regions (bounded or unbounded),
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Feasible and infeasible solutions,
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Optimal feasible solutions (up to three non-trivial constraints).
Unit-VI: Probability
The topics covered in Unit 6 are discussed below:
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Conditional probability,
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Multiplication theorem on probability,
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Independent events,
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Total probability,
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Bayes’ theorem,
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Random variable and its probability distribution,
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Mean of a random variable.
Class 12 Maths Question Paper Design 2023-24
The table below helps candidates find the design of Class 12 Maths Question Paper 2023-24.
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Time: 3 hours Maximum marks: 100 |
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Class 12 Maths Question Paper Design 2023-24 |
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S.No. |
Typology of Questions |
Total Marks |
% Weightage |
|
|
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, describing, and stating main ideas. |
44 |
55 |
|
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Applying: Address challenges in unfamiliar scenarios by using your existing knowledge, facts, techniques, and rules in innovative ways. |
20 |
20 |
|
|
Analysing : Look closely at information, break it down into pieces by figuring out why things happen, and then draw conclusions and find proof to back up your ideas. Evaluating: Express and support viewpoints by forming assessments about information, the soundness of ideas, or the quality of work using established criteria. Creating: Reorganise data by merging components in a novel arrangement or suggesting solutions. |
16 |
25 |
|
Total |
80 |
100 |
|
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There is no specific weightage assigned to individual chapters. It's important to ensure that all chapters are covered.
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To create different question templates, you can make appropriate internal adjustments while maintaining a consistent overall distribution of question types and their weighting.
Choices
There will be no overall choice in the question paper. However, 33% of internal choices will be given in all the sections.
CBSE Class 12 Maths Syllabus 2023-24 For Internal Assessment
CBSE Class 12 Math syllabus 2023-24 includes internal assessment worth 20 marks. This assessment has two parts: Periodic Tests and Mathematics Activities. The Periodic Test is a written test worth 10 marks, and it includes different types of questions like very short answers, short answers, and long answer questions to evaluate your knowledge, understanding, application, skills, and analysis. For the Mathematics Activities part, you can refer to the NCERT Lab Manual, and it's also worth 10 marks.
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INTERNAL ASSESSMENT |
20 marks |
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Periodic Tests ( Best 2 out of 3 tests conducted) |
10 marks |
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Mathematics Activities |
10 marks |
Note: For activities, students can refer to the NCERT Lab Manual.
CBSE Class 12 Maths Syllabus FAQs
Q1: How many units are covered in the CBSE Class 12 Maths Syllabus?
Ans: The CBSE Class 12 Maths Syllabus consists of about 6 units, containing 13 chapters.
Q2: How many marks are allocated for internal assessments in the CBSE Class 12 Maths syllabus?
Ans: Approximately 20 marks are set aside for internal assessments in the CBSE Class 12 Maths Syllabus, and students can achieve these marks through consistent practice.
Q3: Is using NCERT textbooks sufficient to complete the Class 12 Maths Syllabus 2023-24?
Ans: Yes, relying on NCERT textbooks is enough to cover the CBSE Class 12 Maths Syllabus for 2023-24.
Q4: Is Class 12th Maths challenging?
Ans: Class 12th Maths is not a walk in the park; it can be quite challenging.
Q5: What are the best study tips for Class 12 Maths?
Ans: The best study tips for Class 12 Maths include consistent practice, understanding concepts thoroughly, and seeking help when needed.
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