The CBSE Class 12 Applied Mathematics syllabus 2026-27 covers practical mathematical concepts related to numerical applications, algebra, calculus, probability, statistics, financial mathematics, and linear programming. The subject is designed to help students apply mathematical concepts to real-world and professional situations.
According to the official CBSE 2026-27 curriculum, Applied Mathematics (Subject Code 241) has an 80-mark theory examination and 20 marks for Internal Assessment, making the total evaluation 100 marks. The theory paper is of 3 hours duration.
Students preparing for the board exam can use the syllabus, unit-wise weightage, important formulas, practical topics, and preparation tips given below to organise their studies effectively.
What is Class 12 Applied Mathematics?
Applied Mathematics Class 12 is a CBSE elective subject that focuses on the practical application of mathematical concepts. Unlike a purely theoretical approach, the syllabus includes numerical applications, statistics, financial mathematics, calculus, probability distributions, and linear programming.
The Class 12 Applied Maths syllabus is particularly useful for students interested in areas where mathematics is applied to business, economics, finance, data analysis, and decision-making.
The 2026-27 curriculum consists of eight units:
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Numbers, Quantification and Numerical Applications
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Algebra
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Calculus
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Probability Distributions
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Inferential Statistics
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Index Numbers and Time-based Data
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Financial Mathematics
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Linear Programming
The official CBSE curriculum assigns a total of 80 marks to these eight units.
CBSE Class 12 Applied Maths Syllabus 2026-27
The following table provides the official unit-wise marks distribution for CBSE Class 12 Applied Maths syllabus 2026-27:
| Unit | Unit Name | Marks |
| I | Numbers, Quantification and Numerical Applications | 11 |
| II | Algebra | 10 |
| III | Calculus | 15 |
| IV | Probability Distributions | 10 |
| V | Inferential Statistics | 5 |
| VI | Index Numbers and Time-based Data | 6 |
| VII | Financial Mathematics | 15 |
| VIII | Linear Programming | 8 |
| Total Theory | 80 | |
| Internal Assessment | 20 | |
| Total | 100 | |
The highest-weighted units are Calculus and Financial Mathematics, with 15 marks each. Numbers, Quantification and Numerical Applications carries 11 marks, while Algebra and Probability Distributions carry 10 marks each.
CBSE Class 12 Applied Mathematics 2026-27 syllabus PDF
Unit 1: Numbers, Quantification and Numerical Applications
This unit carries 11 marks and focuses on numerical concepts and their practical applications.
Major topics include:
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Modulo arithmetic
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Congruence modulo
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Alligation and mixture
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Numerical applications
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Boats and streams
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Pipes and cisterns
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Races and games
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Numerical inequalities
Students should practise application-based questions because this unit requires both conceptual understanding and numerical accuracy
Unit 2: Algebra
Algebra carries 10 marks in the Class 12 Applied Mathematics theory paper.
Important areas include:
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Matrices
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Types of matrices
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Matrix operations
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Determinants
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Properties of determinants
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Adjoint and inverse of a matrix
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Solving systems of linear equations
Students should pay particular attention to matrix operations, determinants, inverse matrices, and methods used to solve simultaneous equations.
Unit 3: Calculus
Calculus is one of the most important sections of the Class 12 Applied Maths syllabus, carrying 15 marks.
The unit focuses on concepts and applications of:
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Differentiation
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Derivatives
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Applications of derivatives
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Increasing and decreasing functions
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Maxima and minima
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Integration
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Applications of integration
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Differential equations and modelling
Because Calculus has the joint-highest weightage, students should include regular numerical practice while preparing this unit.
Unit 4: Probability Distributions
This unit carries 10 marks and focuses on probability concepts and distributions.
Students should prepare concepts related to:
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Random variables
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Probability distributions
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Mathematical expectation
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Variance
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Binomial distribution
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Poisson distribution
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Normal distribution
Practice is important because probability questions often require students to identify the correct distribution or apply the appropriate formula.
Unit 5: Inferential Statistics
Inferential Statistics carries 5 marks.
The unit introduces statistical methods used to draw conclusions from data. Students should understand the concepts, assumptions, formulas, and interpretation of statistical tests included in the prescribed syllabus.
Since this unit has a lower weightage than Calculus and Financial Mathematics, students can schedule it after completing the higher-weightage units.
Unit 6: Index Numbers and Time-based Data
This unit carries 6 marks.
It focuses on the analysis and interpretation of data across different periods. Students should understand the relevant concepts, calculations, and applications prescribed in the CBSE curriculum.
Unit 7: Financial Mathematics
Financial Mathematics carries 15 marks, making it one of the highest-weighted units in the Applied Mathematics Class 12 syllabus.
Important concepts include financial calculations and applications related to:
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Interest and interest rates
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Annuities
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Loans
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Investments
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Depreciation
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Financial decision-making
Students should maintain a separate Class 12 Applied Maths formula sheet for this unit because many questions require the correct selection and application of financial formulas.
Unit 8: Linear Programming
Linear Programming carries 8 marks.
Important concepts include:
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Decision variables
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Objective function
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Constraints
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Non-negative restrictions
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Formulation of linear programming problems
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Feasible region
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Graphical method
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Corner-point method
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Optimal solution
Students should practise graphical questions carefully and understand how to identify the feasible region and optimal solution.
Class 12 Applied Maths Exam Pattern 2026-27
The CBSE Class 12 Applied Mathematics assessment is divided into theory and Internal Assessment.
| Component | Marks | Duration |
| Theory Examination | 80 | 3 Hours |
| Internal Assessment | 20 | Throughout the academic year |
| Total | 100 | — |
The official CBSE curriculum specifies a 3-hour, 80-mark external examination, along with 20 marks for Internal Assessment.
Class 12 Applied Maths Internal Assessment 2026-27
The Class 12 Applied Maths Internal Assessment carries 20 marks.
It is divided into project work and practical work:
| Area | Assessment Component | Marks |
| Project Work | Project work and record | 5 |
| Project Work | Year-end presentation/Viva | 5 |
| Practical Work | Performance of practical and record | 5 |
| Practical Work | Year-end test of any one practical | 5 |
| Total | 2 | |
The CBSE Applied Mathematics curriculum includes project and spreadsheet-based practical activities. Teachers may select activities from the suggested practical list or conduct similar activities.
Class 12 Applied Maths Practical Topics
The practical component helps students understand how mathematical concepts can be applied using spreadsheets and real-world data.
CBSE's suggested practical activities include:
1. Graphs of Functions Using Excel
Plot functions using a spreadsheet and study their graphs to identify important features such as maxima and minima.
2. Probability and Dice-Roll Simulation
Use a spreadsheet to simulate dice rolls and compare experimental probability with theoretical probability.
3. Matrix Multiplication and Inverse
Use spreadsheet tools to perform matrix multiplication and calculate the inverse of a matrix.
4. Stock Market Data Analysis
Create a stock-market data sheet and analyse historical data to identify trends and patterns.
5. Weather, Price, Inflation or Pollution Data
Collect real-world data and use spreadsheet tools to analyse it and draw meaningful conclusions.
6. Newspaper-Based Data Analysis
Collect data related to areas such as traffic, sports, or stock markets and use spreadsheets to analyse trends and make observations.
These activities are based on CBSE's suggested practical work for Applied Mathematics and are intended to develop data-analysis and mathematical application skills.
Class 12 Applied Maths Important Formulas
A Class 12 Applied Maths formula sheet can make revision easier. Instead of memorising every formula together, organise formulas unit-wise.
1. Calculus Formulas
Some commonly used calculus formulas include:
Product Rule:
dxd(uv)=udxdv+vdxdu
Quotient Rule:
dxd(vu)=v2vdxdu−udxdv
Chain Rule:
dxdy=dudydxdu
Students should also revise the prescribed differentiation, integration, maxima-minima, and differential-equation formulas from their study material.
2. Matrices and Determinants
For a matrix
A=[acbd]
the determinant is:
∣A∣=ad−bc
For an invertible matrix:
A−1=∣A∣1adj(A)
provided:
∣A∣=0
Matrix formulas should be practised alongside numerical questions because understanding the operation is as important as remembering the formula.
3. Probability and Statistics
Important probability concepts include:
P(A′)=1−P(A)
For conditional probability:
P(A∣B)=P(B)P(A∩B)
For independent events:
P(A∩B)=P(A)P(B)
Students should also revise the formulas prescribed for the probability distributions and inferential statistics included in the syllabus.
4. Financial Mathematics
Financial Mathematics requires regular formula revision because questions involve practical financial situations.
For compound interest:
A=P(1+100r)n
where:
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P = principal
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r = rate of interest
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n = number of periods
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A = accumulated amount
Students should also prepare the formulas and applications related to annuities, loans, investments, depreciation, and other financial concepts prescribed in the syllabus.
5. Linear Programming
A typical linear programming problem consists of:
Objective Function:
Z=ax+by
subject to a set of constraints and non-negative restrictions:
x≥0,y≥0
The graphical method is used to identify the feasible region and determine the optimal value using the relevant corner points.
How to Prepare for Class 12 Applied Maths
1. Start With the Syllabus
Before beginning preparation, download the latest CBSE Class 12 Applied Mathematics syllabus 2026-27 and make a checklist of every topic.
2. Prioritise High-Weightage Units
Calculus and Financial Mathematics carry 15 marks each, so give these units sufficient preparation time. Numbers, Quantification and Numerical Applications carries 11 marks, followed by Algebra and Probability Distributions with 10 marks each.
3. Prepare a Formula Sheet
Create a separate Applied Maths formula sheet for Class 12. Organise it into Calculus, Algebra, Probability, Statistics, Financial Mathematics, and Linear Programming.
4. Practise Application-Based Questions
Applied Mathematics focuses on practical applications. Therefore, do not rely only on reading formulas. Solve numerical and case-based questions regularly.
5. Practise With Spreadsheets
Since the curriculum includes spreadsheet-based practical activities, students should become comfortable with basic spreadsheet operations, graphs, calculations, and data analysis.
6. Revise Regularly
Keep separate revision sessions for formulas, numerical problems, practical work, and previously attempted questions.
Is Class 12 Applied Maths Difficult?
The difficulty of Applied Mathematics Class 12 largely depends on conceptual clarity and regular practice. Students who understand the application of formulas and practise numerical questions consistently can prepare effectively.
The subject includes several practical areas such as financial mathematics, statistics, numerical applications, and linear programming. Therefore, students should focus on understanding when and how to apply a formula, rather than memorising formulas without context.
