Class 11 Applied Maths Syllabus 2026-27: Marks & Units

This page presents the official CBSE class 11 applied maths syllabus 2026-27 for Subject Code 241. Verified against the official CBSE curriculum document hosted on cbseacademic.nic.in on 2026-07-13, it confirms the exact 80-mark theory structure and the 20-mark internal assessment split.

Applied Mathematics is a specialized elective designed for students who wish to pursue Commerce, Economics, or Social Sciences, and it is distinct from Core Mathematics (Code 041) which targets the Physical Sciences and engineering route. The course develops mathematical skills needed to interpret real-life situations in business and data analysis, reinforcing logical reasoning skills rather than rote calculation.

Course Structure and Marks Distribution

The theory examination for Applied Mathematics carries 80 marks, spread across seven units. The unit-wise marks allocation must exactly follow the official curriculum document. Students should prioritise their revision based on these weightages to maximise their score.

As the table shows, Unit 2 (Algebra) and Unit 6 (Basics of Financial Mathematics) carry the highest weight, combining for 33 out of 80 marks. Students should schedule their study hours to ensure these two units are mastered thoroughly before the exam.

Chapter-wise Study Material for Applied Maths

Chapter-wise study material for every unit above:

For broader revision, you can also explore our Class 11 Applied Mathematics notes index, or cross-reference your study routine with our main Class 11 notes hub. If you need resources for other classes, visit our general CBSE notes directory.

Unit-wise Topics Inside the Syllabus

Each of the seven units covers specific mathematical tools and their practical applications. Knowing what falls under each unit helps you track what is taught and tested. Definitions here are paraphrased directly from the official CBSE curriculum document (NCERT, p. 3–8).

Unit 1: Numbers, Quantification and Numerical Applications

• Binary Numbers: Decimal-to-binary conversions and vice versa; applications in coding and machine learning.
• Indices, Logarithm and Antilogarithm: Properties of indices, common and natural logarithms, and logarithmic calculations.
• Bhartiya System of Numeration: Traditional way of expressing numbers.
• Clocks: Angular value of a minute, angles between hands, and calculating coinciding times.
• Calendar: Finding odd days in a month, year, or century to decode the day for a given date.
• Time and Work: Relationship between work completion and time, including group comparisons.
• Speed, Distance and Time: Calculating unknown travel parameters and graphical representation.
• Seating Arrangement: Drafting linear and circular seating plans using logical constraints.

Unit 2: Algebra

• Sets: Roster and set-builder forms, subsets, power sets, and intervals as subsets of real numbers.
• Venn Diagrams and Operations on Sets: Union, intersection, and difference applied to data analysis.
• Relations: Cartesian products of sets, domain and range.
• Mathematical Logic: Odd man out, syllogism, blood relations, and coding-decoding.
• Sequence and Series: Differentiating between sequences and series.
• Arithmetic Progression (AP): Finding the arithmetic mean (AM) of two positive numbers.
• Geometric Progression (GP): The nth term, sum of n and infinite terms, the geometric mean (GM), and the AM-GM inequality relationship.

Unit 3: Calculus

• Functions and their graphs: Dependent and independent variables, domain, co-domain, range, and graphical representation.
• Limits and continuity: Definition of a limit using the algebra of limits and defining continuity at a point and over an interval.
• Differentiation: Instantaneous rate of change and finding the derivative as the slope of a tangent.
• Algebra of derivatives: Rules for differentiation of sums, differences, products, quotients, and the chain rule for composite functions.

Unit 4: Combinatorics and Probability

• Factorials and the Fundamental Principle of Counting: Counting without direct enumeration.
• Permutations: Arrangement concepts for solving ordered counting problems.
• Combinations: Selection concepts, differentiated clearly from permutations.
• Probability: Random experiments, sample space, types of events, and conditional probability for real-life situations.

Unit 5: Descriptive Statistics

• Measures of Dispersion: Range, mean deviation, standard deviation, and variance for grouped and ungrouped data.
• Percentiles: Concept and interpretation of the percentile rank of scores.
• Correlation: Karl Pearson’s coefficient of Correlation and Spearman’s Rank Correlation for ungrouped data.
• Regression: Regression analysis concepts, dependent and independent variables, and formulating regression equations.

Unit 6: Basics of Financial Mathematics

• Interest and Interest Rates: Simple vs. compound interest, nominal, effective, and real rates of interest.
• Annuities: Immediate, due, and deferred annuities; calculating future and present values up to three periods.
• Taxes and Utility Bills: Computing income tax, GST, electricity, water, and PNG bills.

Unit 7: Coordinate Geometry

• Straight lines: Slope (gradient) calculations and deriving various algebraic forms of the equation of a line.
• Circles and Parabola: Equations of a circle in standard, central, diameter, and general forms; the parabola as a locus satisfying geometric conditions.

Exam Pattern and Paper Design

The Class 11 Applied Mathematics theory paper is structured as a single, time-bound examination (NCERT, p. 2). The board structures the assessment to test competency over memorisation.

• Number of Paper: 1
• Time: 3 Hours
• Max Marks: 80

Unlike the Class XII board exams which use a positional grading system based on rank order, Class XI follows an absolute grading scale conducted at the school level. The CBSE curriculum explicitly states the grading scale for Class XI electives (NCERT, p. 13).

The board emphasises competency-based questions that require students to apply, analyse, evaluate, and synthesise information rather than recalling textbook facts. This policy is designed to eliminate predictability and rote learning from the assessment process.

Internal Assessment Breakdown (20 Marks)

The remaining 20 marks come from Internal Assessment. This section is heavily focused on practical spreadsheet proficiency, which is tested through specific exercises and projects (NCERT, p. 9, 18). Because these assessments require actual software usage, students should master basic Excel formulas and graphing tools early in the academic year.

Suggested Spreadsheet Practicals

These practicals use tools like GeoGebra and Microsoft Excel to apply mathematical concepts to real data.

• Visualizing Functions: Plotting graphs in GeoGebra to observe how coefficients change a graph’s shape and to determine domain and range graphically.
• Understanding Derivatives: Constructing a tangent line in GeoGebra to demonstrate the derivative as an instantaneous rate of change.
• Personal Budgeting: Designing a monthly budget tracker in a spreadsheet using summation and percentage formulas.
• Comparative Cost-Benefit Analysis: Building a decision-making model to compare cost, shipping, tax, and hidden charges for high-value purchases.
• Descriptive Measures of Data: Using spreadsheet functions like AVERAGE and STDEV.P to compute mean, median, mode, variance, and standard deviation of a raw dataset.
• Interest Growth Analysis: Creating a comparative sheet for Simple vs. Compound Interest to track investment growth.
• Environmental and Economic Data Modelling: Analysing weather, inflation, or AQI data via scatter plots and histograms to identify seasonal trends.

Suggested Projects

Students can choose from a wide range of topics to build their project work. These topics require data collection, graphical representation, and statistical inference.

• Stock price movement and predicting stock market crashes.
• Weather prediction using past monsoon data.
• Analysis of population migration data and its influence on urbanisation.
• Analysis of a cricketer’s career graph using batting or bowling averages.
• Risk assessments by insurance firms based on collected datasets.
• Predicting election outcomes using exit polls.

Deletions and Changes in the Current Syllabus

The official CBSE Applied Mathematics curriculum document for 2026-27 does not list any specific deleted chapters or rationalised syllabus compared to the previous session. The document outlines the full curriculum across the seven units without a dedicated section for removed topics. Students should not trust unofficial pages claiming dropped topics unless those changes are explicitly listed on cbseacademic.nic.in.

Relying on stale pages might cause you to skip content that is actually being tested this session.

Applied Mathematics (241) vs Core Mathematics (041)

CBSE offers two distinct mathematics electives at the senior secondary level. Knowing the difference helps confirm you are studying the right subject for your future academic path.

The official CBSE curriculum document explicitly states: “Mathematics (Code 041) and Applied Mathematics (Code 241)” cannot be opted simultaneously (NCERT, p. 9). A candidate must choose one based on their intended university course of study since the two subjects serve entirely different academic purposes.

Frequently Asked Questions

What is the total marks distribution for Class 11 Applied Maths syllabus 2026-27?

The theory exam is worth 80 marks, allocated across seven units: Numbers, Quantification and Numerical Applications (10), Algebra (18), Calculus (12), Combinatorics and Probability (10), Descriptive Statistics (10), Basics of Financial Mathematics (15), and Coordinate Geometry (05). An additional 20 marks are reserved for Internal Assessment, making the total evaluation 100 marks.

Does Class 11 Applied Mathematics have a practical or internal assessment component?

Yes, 20 marks are dedicated to Internal Assessment. This involves spreadsheet practicals using tools like Excel and GeoGebra—such as visualising functions, budgeting, and calculating standard deviation—as well as project work on topics like weather prediction, stock data analysis, and population migration.

Can a student opt for both Applied Mathematics (241) and Core Mathematics (041) in Class 11?

No. The official CBSE curriculum rules clearly state that Mathematics (041) and Applied Mathematics (241) cannot be taken simultaneously. A student must select the elective that best aligns with their higher education plans—Applied Maths for Commerce/Economics and Core Maths for Engineering/Sciences.

Which units carry the highest weight in the Class 11 Applied Maths theory paper?

Unit 2 (Algebra) carries the highest weight at 18 marks, closely followed by Unit 6 (Basics of Financial Mathematics) at 15 marks. Together, these two units make up 33 of the 80 theory marks, so they should receive the bulk of your study time.

Has CBSE deleted any chapters or topics from the Class 11 Applied Maths syllabus for 2026-27?

The official 2026-27 CBSE Applied Mathematics curriculum document does not contain a list of deleted chapters or rationalised topics. Any claims of dropped content on third-party sites should be verified directly against the official cbseacademic.nic.in portal before altering your preparation strategy.

Reference: CBSE Class 11 Applied Mathematics curriculum document, session as stated on cbseacademic.nic.in.