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]- Concept of Statements
- Truth Value of Statement
- Logical Connective, Simple and Compound Statements
- Concept of Statements
- Conjunction (∧)
- Disjunction (∨)
- Conditional statement (Implication) (→)
- Biconditional (Double implication) (↔) or (⇔)
- Negation (∼)
- Statement Patterns and Logical Equivalence
- Tautology, Contradiction, and Contingency
- Duality
- Quantifier and Quantified 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
- Idempotent law
- Associative law
- Commutative law
- Distributive law
- Identity law
- Complement law
- Involution law
- DeMorgan’s laws
- 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
- Polar co-ordinates
- Relation between the polar co-ordinates and the Cartesian co-ordinates
- Solving a Triangle
- The Sine rule
- The Projection rule
- Applications of the Sine rule, the Cosine rule and the Projection rule
- Inverse Trigonometric Functions
- Introduction of 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 in x and y
- The necessary conditions for a general second degree equation
ax2 + 2hxy + by2 + 2gx + 2fy + c = 0
- abc + 2fgh - af2 - bg2 - ch2 = 0
- h2 - ab ≥ 0
- The necessary conditions for a 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 of a Point from a Line
- 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
- Graphical Method of Solving Linear Programming Problems
- 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]- Differentiation
- Rule of Differentiation
- Introduction
- Derivatives of Composite Functions - Chain Rule
- Geometrical Meaning of Derivative
- Derivatives of Inverse Functions
- 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
- First and Second Derivative test
- Determine critical points of the function
- Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values
- Find the absolute maximum and absolute minimum value of a function
- 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 the Curve, Axis and Line
- Area Between 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
- Methods of Solving First Order, First Degree Differential Equations
- Application of Differential Equations
- Population Growth and Growth of bacteria
- Ratio active Decay
- Newton's Law of Cooling
- Surface Area
- Solution of a Differential Equation
- Overview of Differential Equations
14 Probability Distributions [Revision]
- Random Variables and Its Probability Distributions
- Probability distribution of a random variable
- Types of 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
- Probability Distribution of a Continuous Random Variable
- Probability density function
- Cumulative distribution function
- Variance of a Random Variable
- Expected Value and Variance of a Random Variable
- Overview of Probability Distributions
15 Binomial Distribution [Revision]
- Bernoulli Trial
- Binomial Distribution
- Mean of Binomial Distribution (P.M.F.)
- Variance of Binomial Distribution (P.M.F.)
- Bernoulli Trials and Binomial Distribution
- Overview of Binomial Distribution
