Check CBSE Class 11 Maths Syllabus 202021 and download it in PDF format. The link to download CBSE Syllabus for Class 11 Maths 202021 is given at the end of this article. This latest CBSE Maths Syllabus for Class 11 contains complete details about units and chapters to be studied in the academic session 202021.
CBSE Class 11 Maths Syllabus: 202021
No. 
Units 
No. of Periods 
Marks 
I. 
Sets and Functions 
60 
23 
II. 
Algebra 
70 
30 
III. 
Coordinate Geometry 
40 
10 
IV. 
Calculus 
30 
05 
V. 
Mathematical Reasoning 
10 
02 
VI. 
Statistics and Probability 
30 
10 

Total 
240 
80 

Internal Assessment 

20 
*No chapter/unitwise weightage. Care to be taken to cover all the chapters.
NCERT Exemplar: CBSE Class 11 Mathematics – All Chapters
NCERT Solutions for CBSE Class 11 Mathematics: All Chapters
UnitI: Sets and Functions
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.
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 (upto R x R x R).Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, codomain 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.
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 sin 2x + cos 2x = 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:
Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tany = tan a.
UnitII: Algebra
1.Principle of Mathematical Induction
Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.The principle of mathematical induction and simple applications.
2. 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 and polar representation of complex numbers.Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.Square root of a complex number.
3. Linear inequalities.
Algebraic solutions of linear inequalities in one variable and their representation on the number line.Graphical solution of linear inequalities in two variables.Graphical method of finding a solution of a system of linear inequalities in two variables.
4. Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae form nPr and nCr and their connections, simple applications.
5. Binomial Theorem
Historical perspective, statement and proof of the binomial theorem for positive integral indices.Pascal's triangle, General and middle term in binomial expansion, simple applications.
6. Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). 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. Formulae for the following special sums.
UnitIII: Coordinate Geometry
1. 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, slopeintercept form, twopoint 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.
2. 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.
3. Introduction to Threedimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance
between two points and section formula.
UnitIV: Calculus
1. 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.
UnitV: Mathematical Reasoning
1. 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.
UnitVI: Statistics and Probability
1. Statistics
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of
ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
2. 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.
Mathematics Question Paper Design Class – XI (202021)
Time : 3 Hours, Max. Marks: 80
S. No. 
Typology of Questions 
Total Marks 
% Weight age 
1 
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas 
44 
55 
2 
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 
20 
25 
3 
Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations
Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions 
16 
20 

Total 
80 
100 
No chapter wise weightage. Care to be taken to cover all the chapters
Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.
Choice(s):
 There will be no overall choice in the question paper.
 However, 33% internal choices will be given in all the sections
However, 33% internal choices will be given in all the sections
Internal Assessment: 20 Marks 
Periodic Tests ( Best 2 out of 3 tests conducted)  10 Marks 
Mathematics Activities  10 Marks 