Maharashtra State Board 11th Standard Maths Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 11th Standard: The Maharashtra State Board 11th Standard Maths Syllabus for the examination year 2026-27 has been released by the MSBSHSE, Maharashtra State Board. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 Maharashtra State Board 11th Standard Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Maharashtra State Board syllabus to prepare for their annual exam properly.
The detailed Maharashtra State Board 11th Standard Maths Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 11th Standard Mathematics and Statistics Revised Syllabus
Maharashtra State Board 11th Standard Mathematics and Statistics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1.1 | Angle and Its Measurement | |
| 1.2 | Trigonometry - 1 | |
| 1.3 | Trigonometry - 2 | |
| 1.4 | Determinants and Matrices | |
| 1.5 | Straight Line | |
| 1.6 | Circle | |
| 1.7 | Conic Sections | |
| 1.8 | Measures of Dispersion | |
| 1.9 | Probability | |
| 2.1 | Complex Numbers | |
| 2.2 | Sequences and Series | |
| 2.3 | Permutations and Combination | |
| 2.4 | Methods of Induction and Binomial Theorem | |
| 2.5 | Sets and Relations | |
| 2.6 | Functions | |
| 2.7 | Limits | |
| 2.8 | Continuity | |
| 2.9 | Differentiation | |
| Total | - |
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Syllabus
1.1 Angle and Its Measurement [Revision]
- Directed Angle
- Angles of Different Measurements
- Zero angle
- One rotation angle
- Straight angle
- Right angle
- Angles in Standard Position
- Angle in a Quadrant
- Quadrantal Angles
- Co-terminal angles
- Measures of Angles with Various Systems
- Sexagesimal system (Degree measure)
- Circular system (Radian measure)
- Theorem:The radian so defined is independent of the radius of the circle used and πc = 1800.
- Area of a Sector
- Length of an Arc
1.2 Trigonometry - 1 [Revision]
- Trigonometric Ratios
- Trigonometric Functions with the Help of a Circle
- Trigonometric ratios of any angle
- Signs of Trigonometric Functions in Different Quadrants
- Range of Cosθ and Sinθ
- Trigonometric Functions of Specific Angles
- Angle of measure 0°
- Angle of measure 90° or (π/2)c
- Angle of measure 360° or (2π)c
- Angle of measure 120° or (2π/3)c
- Angle of measure 225° or (5πc/4)c
- Angle of measure –60° or - π/3
- Trigonometric Functions of Negative Angles
- Important Identities and Standard Results
- Periodicity of Trigonometric Functions
- Domain and Range of Trigonometric Functions
- Domain and Range of Trignometric Functions and Their Graphs
- Graphs of Trigonometric Functions
- The graph of sine function
- The graph of cosine function
- The graph of tangent function
- Polar Co-ordinate System
1.3 Trigonometry - 2 [Revision]
1.4 Determinants and Matrices [Revision]
- Definition and Expansion of Determinants
- Value of a Determinant
- Determinant of order 3
- Expansion of Determinant
- Minors and Cofactors of Elements of Determinants
- Properties of Determinants
- Property 1 - The value of the determinant remains unchanged if its rows are turned into columns and columns are turned into rows.
- Property 2 - If any two rows (or columns) of a determinant are interchanged then the value of the determinant changes only in sign.
- Property 3 - If any two rows ( or columns) of a determinant are identical then the value of the determinant is zero.
- Property 4 - If each element of a row (or column) of a determinant is multiplied by a constant k then the value of the new determinant is k times the value of the original determinant.
- Property 5 - If each element of a row (or column) is expressed as the sum of two numbers then the determinant can be expressed as the sum of two determinants
- Property 6 - If a constant multiple of all elements of any row (or column) is added to the corresponding elements of any other row (or column ) then the value of the new determinant so obtained is the same as that of the original determinant.
- Property 7 - (Triangle property) - If all the elements of a determinant above or below the diagonal are zero then the value of the determinant is equal to the product of its diagonal elements.
- Application of Determinants
- Consistency of Three Equations in Two Variables
- Area of Triangle and Collinearity of Three Points
- Determinant Method (Cramer’s Rule)
- Concept of Matrices
- Matrices
- Determinants
- Cramer’s Rule
- Application in Economics
- Types of Matrices
- Row Matrix
- Column Matrix
- Zero or Null matrix
- Square Matrix
- Diagonal Matrix
- Scalar Matrix
- Unit or Identity Matrix
- Upper Triangular Matrix
- Lower Triangular Matrix
- Triangular Matrix
- Symmetric Matrix
- Skew-Symmetric Matrix
- Determinant of a Matrix
- Singular Matrix
- Transpose of a Matrix
- Operation on Matrices
- Properties of Matrix Multiplication
- Transpose of a Matrix
1.5 Straight Line [Revision]
- Locus of a Points in a Co-ordinate Plane
- Locus
- Equation of Locus
- Shift of Origin
- Equations of Line in Different Forms
- Family & Concurrent Lines
1.6 Circle [Revision]
- Equation of a Circle in some special cases
- Equation of a Circle in Different Forms
- Secant and Tangent
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
- Equation of Tangent and Condition of Tangency
- Tangent and Secant Properties
- Director Circle
1.7 Conic Sections [Revision]
- Double Cone
- Fundamentals of Conic Sections
- Parabola and its types
- Ellipse and its Types
- Standard equation of the ellipse
- Special cases of an ellipse
- Tangent to an ellipse
- Equation of tangent to the ellipse
- Condition for tangency
- Tangents from a point to the ellipse
- Locus of point of intersection of perpendicular tangents
- Auxilary circle and director circle of the ellipse
- Hyperbola and its Types
1.8 Measures of Dispersion [Revision]
- Meaning and Definition of Dispersion
- Measures of Dispersion
- Quartiles and Range in Statistics
- Variance
- Standard Deviation
- Variance and Standard Deviation for raw data
- Variance and Standard Deviation for ungrouped frequency distribution
- Variance and Standard Deviation for grouped frequency distribution
- Change of Origin and Scale of Variance and Standard Deviation
- Standard Deviation for Combined Data
- Coefficient of Variation
1.9 Probability [Revision]
- Basic Terminologies
- Random Experiment
- Outcome
- Sample space
- Favourable Outcome
- Elementary Types of Events and Properties of Probability
- Concept of Probability
- Addition Theorem for Two Events
- Conditional Probability
- Independent Events
- Multiplication Theorem on Probability
- Independent Events
- Bayes’ Theorem
- Partition of a sample space
- Theorem of total probability
- Odds (Ratio of Two Complementary Probabilities)
2.1 Complex Numbers [Revision]
- Introduction of Complex Number
- Concept of Complex Numbers
- Imaginary number
- Complex Number
- Algebraic Operations of Complex Numbers
- Equality of two Complex Numbers
- Conjugate of a Complex Number
- Properties of `barz`
- Addition of complex numbers - Properties of addition, Scalar Multiplication
- Subtraction of complex numbers - Properties of Subtraction
- Multiplication of complex numbers - Properties of Multiplication
- Powers of i in the complex number
- Division of complex number - Properties of Division
- The square roots of a negative real number
- Identities
- Square Root of a Complex Number
- Fundamental Theorem of Algebra
- Solution of a Quadratic Equation in complex number system
- Argand Diagram or Complex Plane
- Modulus of z
- Argument of z
- Argument of z in different quadrants/axes - Properties of modulus of complex numbers, Properties of arguments
- Polar & Exponential form of C.N.
- De Moivres Theorem
- Cube Root of Unity
- Properties of 1, w, w2
- Set of Points in Complex Plane
2.2 Sequences and Series [Revision]
- Sequence, Series, and Progression
- Arithmetic Progression (A.P.)
- Geometric Progression (G. P.)
- Nth Term of Geometric Progression (G.P.)
- General Term of a Geometric Progression (G.P.)
- Sum of First N Terms of a Geometric Progression (G.P.)
- Sum of infinite terms of a G.P.
- Geometric Mean (G.M.)
- Harmonic Progression (H. P.)
- Arithmetico Geometric Series
- nth term of A.G.P.
- Sum of n terms of A.G.P.
- Properties of Summation
- Power Series
2.3 Permutations and Combination [Revision]
- Fundamental Principles of Counting
- Tree Diagram
- Addition Principle
- Multiplication principle
- Invariance Principle
- Factorial Notation
- Permutations
- Circular Permutations
- Permutations of distinct objects
- Properties of Permutations
- Objects always together (String method)
- No two things are together (Gap method)
- Combination
2.4 Methods of Induction and Binomial Theorem [Revision]
- Principle of Mathematical Induction
- Binomial Theorem for Positive Integral Index
- General Term in Expansion of (a + b)n
- Middle term(s) in the expansion of (a + b)n
- Binomial Theorem for Negative Index Or Fraction
- Binomial Coefficients
2.5 Sets and Relations [Revision]
- Sets and Their Representations
- Roster or Tabular method or List method
- Set-Builder or Rule Method
- Classification of Sets
- Fundamental Concepts of Ordered Pairs and Relations
- Definition of Relation
- Domain
- Co-domain and Range of a Relation
- Intervals
- Open Interval
- Closed Interval
- Semi-closed Interval
- Semi-open Interval
2.6 Functions [Revision]
2.7 Limits [Revision]
- Concept of Limits
- Methods to Find Limit of Rational Function>Factorization Method
- Methods to Find Limit of Rational Function> Rationalization Method
- Limits of Trigonometric Functions
- Algebraic Methods of Solving a Pair of Linear Equations
- Limits of Exponential and Logarithmic Functions
- Limit at Infinity
- Limit at infinity
- Infinite Limits
2.8 Continuity [Revision]
- Continuous and Discontinuous Functions
- Continuity of a function at a point
- Definition of Continuity
- Continuity from the right and from the left
- Examples of Continuous Functions
- Properties of continuous functions
- Types of Discontinuities
- Jump Discontinuity
- Removable Discontinuity
- Infinite Discontinuity
- Continuity over an interval
- The intermediate value theorem for continuous functions
2.9 Differentiation [Revision]
- Definition of Derivative and Differentiability
- Derivative by the method of the first Principle
- Derivatives of some standard functions
- Relationship between differentiability and continuity
- Rules of Differentiation (Without Proof)
- Theorem 1. Derivative of Sum of functions
- Theorem 2. Derivative of Difference of functions.
- Theorem 3. Derivative of Product of functions.
- Theorem 4. Derivative of Quotient of functions.
- Derivative of Algebraic Functions
- Derivative of Inverse Function
- Derivative of Logarithmic Functions
- Derivatives of Exponential Functions
- L' Hospital'S Theorem
