CBSE Class 12 Applied Maths Syllabus for Board Exam 2026-27, Download PDF Here
Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27). From here, students can download the latest syllabus PDF and can analyze the course structure, marks distribution, and other exam details.
With the release of the CBSE Class 12 syllabus, students will be able to plan their studies for the 2026–27 board exams. Access the latest CBSE Class 12 Applied Mathematics syllabus (Subject Code: 241) from the direct link shared here. You can also download the PDF and understand the syllabus outline as suggested by the CBSE board for the 2026-27 session. Applied math is listed as an elective paper and can be studied with any of the streams (commerce, economics, and social sciences). The syllabus is structured as per the latest demands in education, aiming to help students understand abstract mathematical theories and real-world applications.
The exam paper is of 80-mark, whereas 20 marks are allotted for practical assessment and include topics like Financial Mathematics, Calculus, Inferential Statistics, Linear Programming, and Algebra. It is designed to build a fundamental understanding of applied Maths, while it will also strengthen the core topics prescribed in the syllabus. In order to understand the syllabus, course structure, and marks distribution, students can check the CBSE Class 12 Applied Maths Syllabus PDF for the 2026-27 cycle.
CBSE Class 12 Applied Maths Syllabus 2026-27: Key Highlights
The CBSE Class 12 Applied Math paper is of 3 hours' duration. The below shared details explains the essential details for the subject, including exam duration, total marks, etc.
| Parameter | Details |
| Academic Year | Grade XII (2026–27) |
| Number of Papers | 1 Paper |
| Exam Duration | 3 Hours |
| Maximum Marks | 80 Marks |
| Official Website | cbseacademic.nic.in/ |
CBSE Class 12 Applied Maths Syllabus for Board Exam 2026-27: Latest Updates
As per the CBSE, there are no major changes introduced for the Class 12 Applied Maths syllabus. The syllabus for the 2026-27 cycle focuses on critical-based learning in an attempt to stop rote learning among students.
The paper structure follows an 80-20 marking scheme for theory and practical assessment. The board has included topics related to business, economics, and real-world statistical modeling.
CBSE Class 12 Applied Maths Syllabus 2026-27
The CBSE Class 12 Applied Mathematics syllabus for the 2026–27 session includes a total of 8 units, containing concepts from Numbers, quantification and Numerical Applications to linear programming. This aims at building understanding from basics to complex topics like calculus and algebra.
The table contains a detailed list of units included for Applied Maths syllabus. Students can analyse the breakdown of each units and prepare accordingly.
Unit 1: Numbers, Quantification and Numerical Applications
| Sl. No. | Sub-Topic | Learning Outcomes | Notes / Explanation |
| 1.1 | Modulo Arithmetic | * Define modulus of an integer. * Apply arithmetic operations using modular arithmetic rules. | * Definition and meaning. * Introduction to modulo operator. * Modular addition and subtraction. |
| 1.2 | Congruence Modulo | * Define congruence modulo. * Apply the definition in various problems. | * Definition and meaning. * Solution using congruence modulo. * Equivalence class. |
| 1.3 | Alligation and Mixture | * Understand the rule of alligation to produce a mixture at a given price. * Determine the mean price of a mixture. * Apply the rule of alligation. | * Meaning and application of rule of alligation. * Mean price of a mixture. |
| 1.4 | Numerical Problems | * Solve real-life problems mathematically. | Boats and Streams: * Distinguish between upstream and downstream. * Express the problem in the form of an equation. * Problems based on speed of stream and speed of boat in still water. Pipes and Cisterns: * Determine the time taken by two or more pipes to fill or empty the tank. * Calculate the portion of the tank filled or drained by the pipe(s) in unit time. Races and Games: * Compare the performance of two players with respect to time and distance. * Calculate the time taken, distance covered, or speed of each player. |
| 1.5 | Numerical Inequalities | * Describe the basic concepts of numerical inequalities. * Understand and write numerical inequalities. | * Comparison between two statements/situations which can be compared numerically. * Application of the techniques of numerical solution of algebraic inequations. |
Unit 2: Algebra
| Sl. No. / Sub-Topic | Learning Outcomes | Notes / Explanation |
| 2.1 Matrices and Types of Matrices | * Define a matrix. * Identify different kinds of matrices. * Find the size / order of matrices. * Present a set of data in a matrix form. | * The entries, rows, and columns of matrices. |
| 2.2 Equality, Transpose, Symmetric & Skew-Symmetric | * Determine equality of two matrices. * Write the transpose of a given matrix. * Define symmetric and skew-symmetric matrices. | * Examples of transpose of a matrix. * A square matrix expressed as a sum of a symmetric and a skew-symmetric matrix. * Observation that diagonal elements of skew-symmetric matrices are always zero. |
| 2.3 Algebra of Matrices | * Perform addition & subtraction on matrices of the same order. * Perform multiplication of two matrices of appropriate order. * Perform multiplication of a scalar with a matrix. | * Addition and subtraction of matrices. * Multiplication of matrices (can be conceptualized similarly to multiplying two polynomials). * Multiplication of a matrix with a real number. |
| 2.4 Determinants | * Find the determinant of a square matrix. * Identify singular and non-singular matrices. | * Understanding property |
| 2.5 Inverse of a Matrix | * Define the inverse of a square matrix. * Apply core properties of the inverse of matrices. | * Inverse of a matrix using cofactors. * Key properties for invertible square matrices A and B of the same size:
|
| 2.6 Solving System of Simultaneous Equations | * Solve systems of simultaneous linear equations using: i) Cramer’s Rule ii) Inverse of coefficient matrix. * Formulate real-life problems into a system of equations and solve them. | * Solution of system of simultaneous linear equations up to three variables only. * Limited to non-homogeneous equations. |
Unit 3: Calculus
| Sl. No. / Sub-Topic | Learning Outcomes | Notes / Explanation |
| Differentiation & its Applications | ||
| 3.1 Derivatives up to Second Order | * Determine derivatives up to the second order. * Understand differentiation of parametric functions and implicit functions. | * Simple problems based on up to second-order derivatives. * Differentiation of parametric functions and implicit functions (up to second order). |
| 3.2 Application of Derivatives | * Determine the rate of change of various quantities. | * To find the rate of change of quantities such as area and volume with respect to time or its dimension. |
| 3.3 Marginal Cost & Marginal Revenue | * Define marginal cost and marginal revenue. * Find marginal cost and marginal revenue using derivatives. | * Contextual examples related to evaluating marginal cost, marginal revenue, etc. |
| 3.4 Increasing / Decreasing Functions | * Determine whether a function is increasing or decreasing. * Determine the mathematical conditions for a function to be increasing or decreasing. | * Simple problems related to increasing and decreasing behavior of a function in a given interval. |
| 3.5 Maxima and Minima | * Determine critical points of a function. * Find local maxima, local minima, and corresponding local extreme values. * Find absolute maximum and absolute minimum values. * Solve applied optimization problems for cost, revenue, and profit only. | * A point x = c is a critical point if f(c) is defined and either f'(c) = 0 or f is not differentiable at c.. * Finding extrema via: i) First Derivative Test ii) Second Derivative Test * Contextualized real-life problems. |
| Integration & its Applications | ||
| 3.6 Integration | * Understand and determine indefinite integrals of simple functions as anti-derivatives. | * Integration treated as a reverse process of differentiation. * Core vocabulary and notations related to integration. |
| 3.7 Indefinite Integrals as Family of Curves | * Evaluate indefinite integrals of simple algebraic functions by specified methods. | * Methods: i) Substitution, ii) Partial fractions, iii) By parts. * Simple integrals restricted to non-trigonometric functions. |
| 3.8 Definite Integrals as Area Under Curve | * Define definite integral as the area under a curve. * Understand the Fundamental Theorem of Integral Calculus and apply it to evaluate definite integrals. | * Evaluation of area under simple algebraic curves up to the second degree. |
| 3.9 Application of Integration | * Identify regions representing consumer surplus and producer surplus graphically. * Apply definite integrals to find consumer surplus and producer surplus. | * Problems based on finding: * Total Cost when Marginal Cost is given. * Total Revenue when Marginal Revenue is given. * Equilibrium price, equilibrium quantity, consumer surplus, and producer surplus. |
| Differential Equations & Modeling | ||
| 3.10 Differential Equations | * Recognize a differential equation. * Find the order and degree of a differential equation. | * Basic definitions, order, degree, and standard examples. |
| 3.11 Formulating & Solving Diff. Equations | * Formulate differential equations. * Verify the solution of a differential equation. * Solve simple differential equations using the variable separable method only. | * Formation of differential equations by eliminating arbitrary constants. * Solution of simple differential equations (limited to direct integration methods). |
For a detailed syllabus, click on the link shared below to access the official PDF
Check: CBSE Class 12 Applied Maths Syllabus 2026-27
CBSE Class 12 Applied Maths Syllabus 2026-27: Internal Assessment
Given below is the unit wise distribution of marks weightage for theory and practical assessment:
| Unit No. | Unit Name | Marks Weightage |
| I | Numbers, Quantification and Numerical Applications | 11 Marks |
| II | Algebra | 10 Marks |
| III | Calculus | 15 Marks |
| IV | Probability Distributions | 10 Marks |
| V | Inferential Statistics | 05 Marks |
| VI | Time-based data | 06 Marks |
| VII | Financial Mathematics | 15 Marks |
| VIII | Linear Programming | 08 Marks |
| - | Total Theory Evaluation | 80 Marks |
| - | Internal Assessment / Practical | 20 Marks |
| - | Grand Total | 100 Marks |
Overall, the CBSE syllabus aims to promote critical thinking among students. The goal is to align with the new requirements in the education field. Therefore, the curriculum is designed to meet the requirements while also filling the gap between quantitative tools and analytical understanding. It will make students equipped with modern higher education and professional fields.
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