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Syllabus
OFFICIAL SYLLABUS
The CBSE Class 11 Mathematics syllabus covers important concepts that help students develop a strong foundation for higher-level mathematics. The syllabus includes topics such as Sets and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Introduction to Three-Dimensional Geometry, Limits and Derivatives, Statistics, and Probability. It focuses on conceptual understanding, logical reasoning, and problem-solving skills.
| S.NO | CHAPTERS |
| 1 | Sets |
| 2 | Relations and Functions |
| 3 | Trigonometric Functions |
| 4 | Principle of Mathematical Induction |
| 5 | Complex Numbers and Quadratic Equations |
| 6 | Linear Inequalities |
| 7 | Permutations and Combinations |
| 8 | Binomial Theorem |
| 9 | Sequences and Series |
| 10 | Straight Lines |
| 11 | Conic Sections |
| 12 | Introduction to three Dimensional Geometry |
| 13 | Limits and Derivatives |
| 14 | Statistics |
| 15 | Probability |
Unit-I: Sets and Functions
Chapter 1: Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal Set, Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set, Properties of Complement.
Chapter 2: Relations & Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of Relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation, Pictorial representation of a function, domain, co-domain, and range of A function. Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.
Chapter 3 : Trigonometric Functions
Positive and negative angles, Measuring angles in radians and in degrees, and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:
tan (x±y) = tanx ± tany/ 1 -+ tanx tany
cot (x±y) = cotx coty -+1 / coty ± cotx
sin alpha (±) sin beta = 2sin(1/2) (alpha ± beta) cos(1/2) (alpha -+ beta)
cos alpha + cos beta = 2cos(1/2) (alpha + beta) cos(1/2) (alpha - beta)
cos alpha - cos beta = - 2sin(1/2) (alpha + beta) sin(1/2) (alpha - beta)
Identities related to sin2x, cos2x, tan2x, sin3x, cos3xand tan3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
Unit-II: Algebra
Chapter 4: Complex Numbers and Quadratic Equations
Need for complex numbers, especially ??1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane.
Chapter 6: Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
Chapter 7: Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr , nCr and their connections, simple applications.
Chapter 8: Binomial Theorem
Historical perspective, statement and proof of the b
...OFFICIAL SYLLABUS
The CBSE Class 11 Mathematics syllabus covers important concepts that help students develop a strong foundation for higher-level mathematics. The syllabus includes topics such as Sets and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Introduction to Three-Dimensional Geometry, Limits and Derivatives, Statistics, and Probability. It focuses on conceptual understanding, logical reasoning, and problem-solving skills.
| S.NO | CHAPTERS |
| 1 | Sets |
| 2 | Relations and Functions |
| 3 | Trigonometric Functions |
| 4 | Principle of Mathematical Induction |
| 5 | Complex Numbers and Quadratic Equations |
| 6 | Linear Inequalities |
| 7 | Permutations and Combinations |
| 8 | Binomial Theorem |
| 9 | Sequences and Series |
| 10 | Straight Lines |
| 11 | Conic Sections |
| 12 | Introduction to three Dimensional Geometry |
| 13 | Limits and Derivatives |
| 14 | Statistics |
| 15 | Probability |
Unit-I: Sets and Functions
Chapter 1: Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal Set, Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set, Properties of Complement.
Chapter 2: Relations & Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of Relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation, Pictorial representation of a function, domain, co-domain, and range of A function. Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.
Chapter 3 : Trigonometric Functions
Positive and negative angles, Measuring angles in radians and in degrees, and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:
tan (x±y) = tanx ± tany/ 1 -+ tanx tany
cot (x±y) = cotx coty -+1 / coty ± cotx
sin alpha (±) sin beta = 2sin(1/2) (alpha ± beta) cos(1/2) (alpha -+ beta)
cos alpha + cos beta = 2cos(1/2) (alpha + beta) cos(1/2) (alpha - beta)
cos alpha - cos beta = - 2sin(1/2) (alpha + beta) sin(1/2) (alpha - beta)
Identities related to sin2x, cos2x, tan2x, sin3x, cos3xand tan3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
Unit-II: Algebra
Chapter 4: Complex Numbers and Quadratic Equations
Need for complex numbers, especially ??1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane.
Chapter 6: Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
Chapter 7: Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr , nCr and their connections, simple applications.
Chapter 8: Binomial Theorem
Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.
Chapter 9 : Sequence and Series
Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M
Unit- III: Coordinate Geometry
Chapter 10: Straight Lines
Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form, and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.
Chapter 11: Conic Sections
Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse, and hyperbola. Standard equation of a circle.
Chapter 12: Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Unit- IV: Calculus
Chapter 13: Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product, and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit- V: Mathematical Reasoning
Chapter 14: Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, difference among contradiction, converse and contrapositive.
Unit- VI: Statistics and Probability
Chapter 15: Statistics
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
Chapter 16: Probability
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Format
EXAM PATTERN
The CBSE Class 11 Mathematics exam pattern is based on the prescribed syllabus and includes questions designed to assess students’ conceptual understanding, problem-solving skills, and mathematical reasoning. The theory paper carries 80 marks, while 20 marks are allotted for internal assessment. The question paper generally includes different types of questions, such as multiple-choice, short-answer, and long-answer questions, covering the major topics in the syllabus.
Paper Format
Paper Type - Theory + Internal Assessment
Paper Marks - Theory (80 Marks) + Internal Assessment (20 Marks)
Maximum Total marks - 80 + 20 = 100 Marks
Time duration - 3 hours (Only For Theory Exam)
Unit & their Weightage
| S.No. | Units | Total Weightage |
| 1. | Sets and Functions | 23 marks |
| 2. | Algebra | 25 marks |
| 3. | Coordinate Geometry | 12 marks |
| 4. | Calculus | 08 marks |
| 5. | Statistics and Probability | 12 marks |
| Total | 80 marks | |
| Internal Assessment | ||
| 1. | Periodic Tests (Best 2 out of 3 tests conducted) | 10 marks |
| 2. | Mathematics Activities | 10 marks |
| Grand Total | 100 marks | |
Eligibility
ELIGIBILITY CRITERIA
CBSE Class 11 admission requires students to pass the Class 10 examination conducted by CBSE or another recognised board. Admission depends on school rules, seat availability, subject-specific requirements, and submission of the required documents.
Conditions of eligibility for admission to class XI
1. Candidates who have been studying in a School recognised by or affiliated to this Board or any other recognised Board of Secondary Education in India.
2. Candidates can not take admission directly in class XI.
3. Candidates had completed a regular course of study for class X and passed class X examination from a school affilicated to this Board.
4. The candidates percentage for attendance should be 75% so that the Board to make him/her eligible for the Examinations.
5. Candidate can be admitted to a school only on the transfer of the parents(s) or shifting of their families from one place to another, after procuring from the student the marksheet and the Transfer Certificate duly countersigned by the Educational Authorities of the Board concerned.
6. There is no age limit for candidates taking the Examination.
7. Candidate should have doucments in support of his having passed the qualifying or equivalent qualifying examination.
Schedule
EXAM SCHEDULE
Class 11 final examination dates and timetables are generally announced by individual schools. The examination schedule may vary depending on the school, education board, subjects, and academic session.
Students are advised to check their school's official notices for the latest examination dates, subject-wise timetable, exam timings, and important instructions.
Important Information:
Examination dates and timings are determined by the respective schools.
The subject-wise timetable is generally released before the examinations begin.
Students should confirm the reporting time, examination duration, and any special instructions with their school.
Any changes to the examination schedule should be verified through official school announcements.
Note: There is no single common timetable for Class 11 final examinations across all schools. Students should refer to their school's official examination schedule for accurate information.
Analysis
EXAM ANALYSIS
Since Class 11 final examinations are conducted by individual schools, their schedules and question paper patterns may vary. To help you prepare for future board examinations, we have included an analysis of Class 12 board exams, offering useful insights into question patterns and examination trends.
The CBSE Class 12 Mathematics Board Exam 2026 was conducted on 9 March 2026. The paper covered major areas such as Calculus, Algebra, Vectors and Three-Dimensional Geometry, Linear Programming, and Probability. The overall difficulty level was reported as moderate to moderately challenging, with a combination of direct, conceptual, calculation-based, and application-oriented questions. The paper was largely aligned with the NCERT syllabus and tested students’ conceptual understanding, formula application, analytical thinking, and problem-solving skills.
Exam Date: 9 March 2026
Exam Time: 10:30 AM – 1:30 PM
Subject Code: 041
Theory Marks: 80 | Duration: 3 Hours
Paper Pattern: 5 sections, 38 questions.
The CBSE Class 12 Mathematics 2026 paper was generally reported as moderate to moderately challenging, with some questions requiring lengthy calculations and careful time management. Section A contained 20 one-mark questions, including multiple-choice and assertion-reason questions. Section B had 5 two-mark questions, Section C included 6 three-mark questions, Section D consisted of 4 five-mark questions, and Section E contained 3 case-study-based questions carrying 4 marks each.
Major areas covered included Matrices, Determinants, Integrals, Differential Equations, Vectors, Three-Dimensional Geometry, and Probability. Students and subject experts noted that some multiple-choice questions required careful reasoning, while questions from Integration and Differential Equations involved multi-step calculations. The long-answer section was considered demanding by some students, and case-study questions required a clear understanding of the given information. Overall, the paper tested both conceptual clarity and the ability to solve problems accurately within the allotted time.
Overall Difficulty: Moderate to Moderately Challenging
NCERT Relevance: High
Question Type: Direct + Conceptual + Calculation-based + Application-based
Key Preparation Focus: NCERT examples and exercises, Calculus, Matrices and Determinants, Vectors and Three-Dimensional Geometry, Probability, formula revision, and regular practice of previous years’ question papers.
Study Tips
STUDY TIPS
Start by understanding the syllabus, exam pattern, marking scheme, and important topics, then create a realistic study schedule based on the available time. Focus on understanding concepts rather than only memorising answers, and use the prescribed textbook as the primary study resource. Prepare concise notes, revise regularly, practise previous-year/sample papers, and solve questions within the given time limit. Identify weak areas through regular self-assessment and give them additional practice. Maintain consistency, take short breaks, get adequate sleep, and avoid leaving the entire syllabus for the final few weeks. In the final stage, focus mainly on revision, practice papers, important concepts, formulas, diagrams, definitions, and commonly tested areas.
3 MONTHS STUDY PLAN
Month 1: Complete the syllabus systematically, understand the basic concepts, and prepare short revision notes for each chapter or topic. Give extra attention to difficult and high-priority areas.
Month 2: Complete the remaining syllabus and begin intensive revision. Practise textbook questions, previous-year questions, sample papers, numerical problems, diagrams, and application-based questions according to the subject.
Month 3: Focus primarily on revision and examination practice. Take full-length mock tests under actual exam conditions, analyse mistakes, revise weak topics, and repeatedly review important concepts, formulas, definitions, diagrams, and key facts. Keep the final days for light revision and avoid starting major new topics.
6 MONTHS STUDY PLAN
Months 1–2: Understand the complete syllabus and build strong conceptual foundations. Study each subject regularly and complete the easier and core topics first while maintaining concise notes.
Months 3–4: Complete the remaining syllabus and strengthen difficult topics. Start practising chapter-wise questions, previous-year questions, numerical problems, diagrams, and application-based questions. Revise completed chapters regularly.
Month 5: Begin full-syllabus revision and increase examination practice. Solve sample and previous-year papers within the prescribed time, analyse errors, and focus on topics where performance is weak.
Month 6: Use the final month mainly for revision and mock tests. Follow a subject-wise revision cycle, practise under exam conditions, correct recurring mistakes, and revise important formulas, definitions, diagrams, concepts, and facts. Maintain a consistent routine, adequate sleep, and a calm approach during the final days.
General info
OVERVIEW
Class 11 final examinations are an important academic milestone that help students assess their understanding of subjects and prepare for Class 12 board examinations. Since these examinations are generally conducted by individual schools, students should stay informed about their school's examination schedule, rules, assessment criteria, and result-related procedures while preparing for their exams.
1. Key Exam Timings & Schedule
Examination Schedule: Exam dates and timetables are announced by individual schools and may vary depending on the school and education board.
Reporting Time: Students should reach the examination centre or designated examination room at the time specified by their school.
Reading Time: Any additional reading time before writing begins depends on the examination instructions issued by the school.
Exam Duration: The duration of each examination depends on the subject, question paper pattern, and school guidelines.
2. Allowed & Prohibited Items
Allowed Items: Students should carry their school ID card, admit card or examination permission slip (if required), and permitted stationery such as blue or black pens, pencils, erasers, and other subject-specific supplies.
Prohibited Items: Mobile phones, smartwatches, unauthorised electronic devices, written notes, and other unauthorised materials are generally prohibited in the examination room.
Dress Code: Students should follow their school's dress code and examination guidelines. Schools may require students to wear their prescribed uniform.
3. Essential Passing Criteria
Minimum Passing Marks: The minimum marks required to pass Class 11 examinations depend on the applicable education board and school assessment policy.
Theory and Practical Assessments: Subjects may include theory examinations, practical examinations, internal assessments, projects, or other evaluation components. The passing requirements for each component depend on the applicable rules.
Promotion to Class 12: Promotion generally depends on meeting the school's prescribed academic and attendance requirements, along with any applicable board guidelines.
4. Post-Exam Provisions & Student Support
Results and Marks Verification: Students should contact their school to understand the result declaration process and the procedure for requesting marks verification or answer-sheet review, where available.
Re-examinations and Compartment Exams: Schools may provide supplementary examinations, re-tests, or other opportunities to eligible students who do not meet the required passing criteria. The applicable rules and timelines vary by school.
Academic Guidance and Counselling: Students can approach their teachers, school counsellors, or school administration for help with exam-related queries, academic difficulties, and examination stress.
Important Note: Class 11 examination schedules, rules, passing criteria, promotion policies, and supplementary examination provisions may differ across schools and education boards. Students should refer to their school's official notices and the applicable board guidelines for accurate and updated information.
2027 exam
LATEST UPDATE
Class 11 final examinations for the current academic year are generally conducted by individual schools according to their own schedules. Since exam dates and timetables may vary from school to school, students should check with their respective schools for the official schedule. To help students prepare effectively, we provide Class 11 syllabus details, study materials, and exam preparation resources for their final examinations.
TIME TABLE
DATE | SUBJECTS |
To be announced | Biotechnology, Entrepreneurship, Shorthand English, Shorthand Hindi |
To be announced | Physical Education |
To be announced | Engineering Graphics, Bharatanatyam, Kuchipudi, Odissi, Manipuri, Kathakali, Horticulture, Cost Accounting |
To be announced | Physics |
To be announced | Automotive, Fashion Studies |
To be announced | Mass Media Studies, Design Thinking & Innovation |
To be announced | Accountancy |
To be announced | Beauty & Wellness, Typography & Computer Application |
To be announced | Geography |
To be announced | Painting, Graphics, Sculpture, Applied Art |
To be announced | Chemistry |
To be announced | Urdu Elective, Sanskrit Elective, Carnatic Music, Kathak Dance, Urdu Core, Front Office Operations, Insurance, Geospatial Technology, Electrical Technology |
To be announced | Psychology |
To be announced | Punjabi, Bengali, Tamil, Telugu, Sindhi, Marathi, Gujarati, Manipuri, Malayalam, Odia, Assamese, Kannada, Arabic, Tibetan, German, Russian, Persian, Nepali, Limbo, Lepcha, Telugu Telangana, Bodo, Tangkhul, Japanese, Bhutia, Spanish, Kashmiri, Miz |
To be announced | Yoga, Electronics & Hardware |
To be announced | Mathematics, Applied Mathematics |
To be announced | Food Production, Office Procedures and Practices, Library & Information Science, Early Childhood Care & Education |
To be announced | Hindustani Music, Healthcare, Design |
To be announced | English Elective, English Core |
To be announced | Tourism, Air-Conditioning & Refrigeration |
To be announced | Home Science |
To be announced | Hindi Elective, Hindi Core |
To be announced | Hindustani Music Vocal |
To be announced | Economics |
To be announced | Physical Activity Trainer |
To be announced | Marketing |
To be announced | Political Science |
To be announced | Retail, Artificial Intelligence |
To be announced | Informatics Practices, Computer Science, Information Technology |
To be announced | Biology |
To be announced | Business Studies, Business Administration |
To be announced | History |
To be announced | Financial Market Management, Agriculture, Medical Diagnostics, Salesmanship |
To be announced | National Cadet Corps, Food Nutrition & Dietetics |
To be announced | Sociology |
To be announced | Knowledge Tradition & Practices of India, Bhoti, Kokborok, Banki |
LATEST UPDATE
Class 11 final examinations for the current academic year are generally conducted by individual schools according to their own schedules. Since exam dates and timetables may vary from school to school, students should check with their respective schools for the official schedule. To help students prepare effectively, we provide Class 11 syllabus details, study materials, and exam preparation resources for their final examinations.
TIME TABLE
DATE | SUBJECTS |
To be announced | Biotechnology, Entrepreneurship, Shorthand English, Shorthand Hindi |
To be announced | Physical Education |
To be announced | Engineering Graphics, Bharatanatyam, Kuchipudi, Odissi, Manipuri, Kathakali, Horticulture, Cost Accounting |
To be announced | Physics |
To be announced | Automotive, Fashion Studies |
To be announced | Mass Media Studies, Design Thinking & Innovation |
To be announced | Accountancy |
To be announced | Beauty & Wellness, Typography & Computer Application |
To be announced | Geography |
To be announced | Painting, Graphics, Sculpture, Applied Art |
To be announced | Chemistry |
To be announced | Urdu Elective, Sanskrit Elective, Carnatic Music, Kathak Dance, Urdu Core, Front Office Operations, Insurance, Geospatial Technology, Electrical Technology |
To be announced | Psychology |
To be announced | Punjabi, Bengali, Tamil, Telugu, Sindhi, Marathi, Gujarati, Manipuri, Malayalam, Odia, Assamese, Kannada, Arabic, Tibetan, German, Russian, Persian, Nepali, Limbo, Lepcha, Telugu Telangana, Bodo, Tangkhul, Japanese, Bhutia, Spanish, Kashmiri, Miz |
To be announced | Yoga, Electronics & Hardware |
To be announced | Mathematics, Applied Mathematics |
To be announced | Food Production, Office Procedures and Practices, Library & Information Science, Early Childhood Care & Education |
To be announced | Hindustani Music, Healthcare, Design |
To be announced | English Elective, English Core |
To be announced | Tourism, Air-Conditioning & Refrigeration |
To be announced | Home Science |
To be announced | Hindi Elective, Hindi Core |
To be announced | Hindustani Music Vocal |
To be announced | Economics |
To be announced | Physical Activity Trainer |
To be announced | Marketing |
To be announced | Political Science |
To be announced | Retail, Artificial Intelligence |
To be announced | Informatics Practices, Computer Science, Information Technology |
To be announced | Biology |
To be announced | Business Studies, Business Administration |
To be announced | History |
To be announced | Financial Market Management, Agriculture, Medical Diagnostics, Salesmanship |
To be announced | National Cadet Corps, Food Nutrition & Dietetics |
To be announced | Sociology |
To be announced | Knowledge Tradition & Practices of India, Bhoti, Kokborok, Banking, Electronics Technology |
To be announced | Web Application |
To be announced | Sanskrit Core, French, Taxation |
To be announced | Multi-Media, Textile Design, Data Science |
To be announced | Legal Studies |
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