Maharashtra State Board 12th Standard Board Exam Maths and Stats Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 12th Standard Board Exam: The Maharashtra State Board 12th Standard Board Exam Maths and Stats 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 12th Standard Board Exam Maths and Stats 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 12th Standard Board Exam Maths and Stats Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 12th Standard Board Exam Mathematics and Statistics Revised Syllabus
Maharashtra State Board 12th Standard Board Exam Mathematics and Statistics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 🞽 | Part - I | - |
| 1 | Mathematical Logic | |
| 2 | Matrices | |
| 3 | Trigonometric Functions | |
| 4 | Pair of Straight Lines | |
| 5 | Vectors | |
| 6 | Line and Plane | |
| 7 | Linear Programming | |
| 🞽 | Part II | - |
| 8 | Differentiation | |
| 9 | Applications of Derivatives | |
| 10 | Indefinite Integration | |
| 11 | Definite Integration | |
| 12 | Application of Definite Integration | |
| 13 | Differential Equations | |
| 14 | Probability Distributions | |
| 15 | Binomial Distribution | |
| Total | - |
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Syllabus
🞽 Part - I
1 Mathematical Logic [Revision]- Statements and Truth Values in Mathematical Logic
- Logical Connectives
- Tautology, Contradiction, and Contingency
- Quantifier, Quantified and Duality Statements in Logic
- Universal quantifier (∀)
- Existential quantifier (∃)
- Negations of Compound Statements
- Negation of conjunction
- Negation of disjunction
- Negation of implication
- Negation of biconditional
- Converse, Inverse, and Contrapositive
- Algebra of Statements
- Application of Logic to Switching Circuits
- Two switches in series
- Two switches in parallel
- Overview of Mathematical Logic
2 Matrices [Revision]
- Elementry Transformations
- Properties of Matrix Multiplication
- Application of Matrices
- Method of Inversion
- Method of Reduction
- Applications of Determinants and Matrices
- Consistent System
- Inconsistent System
- Solution of a system of linear equations using the inverse of a matrix
- Overview of Matrices
3 Trigonometric Functions [Revision]
- Trigonometric Equations and Their Solutions
- Trigonometric equation
- Solution of Trigonometric equation
- Principal Solutions
- The General Solution
- Solutions of Triangle
- Inverse Trigonometric Functions
- Overview of Trigonometric Functions
4 Pair of Straight Lines [Revision]
- Combined Equation of a Pair Lines
- Homogeneous Equation of Degree Two
- Degree of a term
- Homogeneous Equation
- Angle between lines represented by ax2 + 2hxy + by2 = 0
- General Second Degree Equation
- Equation of a Line in Space
- Equation of a line through a given point and parallel to a given vector `vec b`
- Equation of a line passing through two given points
- Overview of Pair of Straight Lines
5 Vectors [Revision]
6 Line and Plane [Revision]
- Vector and Cartesian Equations of a Line
- Equation of a line passing through a given point and parallel to given vector
- Equation of a line passing through given two points
- Distance in Lines (Point & Parallel Lines)
- Introduction of Distance of a Point from a Line
- Distance between two parallel lines
- Distance Between Skew Lines and Parallel Lines
- Distance between skew lines
- Distance between parallel lines
- Equation of a Plane
- Passing through a point and perpendicular to a vector
- Passing through a point and parallel to two vectors
- Passing through three non-collinear points
- In normal form
- Passing through the intersection of two planes
- Angle Between Planes
- Coplanarity of Two Lines
- Distance of a Point from a Plane
- Overview of Line and Plane
7 Linear Programming [Revision]
- Linear Programming Problem (L.P.P.)
- Meaning of Linear Programming Problem
- Mathematical formulation of a linear programming problem
- Familiarize with terms related to Linear Programming Problem
- Lines of Regression of X on Y and Y on X Or Equation of Line of Regression
- Methods to Solve LPP (Graphical / Corner Point Method)
- Graphical method of solution for problems in two variables
- Feasible and infeasible regions and bounded regions
- Feasible and infeasible solutions
- Optimum feasible solution
- Linear Programming Problem in Management Mathematics
- Overview of Linear Programming
🞽 Part II
8 Differentiation [Revision]- Introduction & Derivatives of Some Standard Functions
- Rule of Differentiation
- Introduction
- Derivative of Composite Functions
- Geometrical Meaning of Derivative
- Derivative of Inverse Function
- Logarithmic Differentiation
- Derivatives of Implicit Functions
- Derivatives of Parametric Functions
- Higher Order Derivatives
- Overview of Differentiation
9 Applications of Derivatives [Revision]
- Applications of Derivatives in Geometry
- Derivatives as a Rate Measure
- Velocity
- Acceleration
- Jerk
- Approximations
- Rolle's Theorem
- Lagrange's Mean Value Theorem (LMVT)
- Increasing and Decreasing Functions
- Maxima and Minima
- Overview of Applications of Derivatives
10 Indefinite Integration [Revision]
11 Definite Integration [Revision]
- Definite Integral as Limit of Sum
- Concept of Calculus
- Integral Calculus
- Introduction
- Definition: Definite Integral
- Definition: Indefinite Integral
- Characteristics
- Process: Finding the Area Under a General Curve
- Significance
- Basics of Integration
- Example
- Integral Calculus
- Methods of Evaluation and Properties of Definite Integral
- Overview of Definite Integration
12 Application of Definite Integration [Revision]
- Application of Definite Integration
- Area Bounded by Two Curves
- Overview of Application of Definite Integration
13 Differential Equations [Revision]
- Differential Equations
- Order and Degree of a Differential Equation
- Formation of Differential Equations
- Formation of Differential equations from Physical Situations
- Formation of Differential Equations from Geometrical Problems
- Homogeneous Differential Equations
- Linear Differential Equations
- Applications of Differential Equation
Population growth, Bacterial colony growth, Surface area, Newton’s laws of cooling, Radioactive decay
- Solution of a Differential Equation
- Overview of Differential Equations
14 Probability Distributions [Revision]
- Random Variables
- Discrete random variable
- Continuous random variable
- Probability Mass Function
- Cumulative Distribution Function or Distribution Function
- Cumulative Distribution Function from Probability Mass function
- Probability Mass Function from Cumulative Distribution Function
- Probability Distribution of Discrete Random Variables
- Expected Value and Variance of a Random Variable
- Apply arithmetic mean of frequency distribution to find the expected value of a random variable
- Calculate the Variance and S.D. of a random variable
- Expected Value and Variance of a Random Variable
- Probability Distribution of a Continuous Random Variable
- Probability density function
- Cumulative distribution function
- Variance of a Random Variable
- Overview of Probability Distributions
15 Binomial Distribution [Revision]
