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 | Marks | Marks with options |
|---|---|---|---|
| 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]
- Expansion of Determinant
- Minors and Co-factors
- 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 to Coordinate Geometry
- Consistency of Three Equations in Two Variables
- Area of Triangle and Collinearity of Three Points
- Methods of Solving Linear Equations in Two Variables > Determinant method (Cramer’s Rule)
- Concept of Matrices
- Types of Matrices
- Operations on Matrices>Scalar Multiplication
- Operations on Matrices> 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]
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
- Multiplication Theorem of Probability
- Independent Events
- Bayes’ Theorem
- Odds (Ratio of Two Complementary Probabilities)
2.1 Complex Numbers [Revision]
- Introduction of Complex Number
- Concept of Complex Numbers
- Algebraic Operations of Complex Numbers
- Square Root of a Complex Number
- Fundamental Theorem of Algebra
- Argand Diagram or Complex Plane
- De Moivres Theorem
- Cube Root of Unity
- 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
- Invariance Principle
- Factorial Notation
- Permutations
- Circular Permutations
- 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
- Concept of Relations
- 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]
2.9 Differentiation [Revision]
- Concept of Differentiability
- 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 Trigonometric Function
- Exponential and Logarithmic Functions
- L' Hospital'S Theorem
