Maharashtra State Board 12th Standard Board Exam Maths Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 12th Standard Board Exam: The Maharashtra State Board 12th Standard Board Exam 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 12th Standard Board Exam 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 12th Standard Board Exam Maths 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 | Differentiation | |
| 4 | Applications of Derivatives | |
| 5 | Integration | |
| 6 | Definite Integration | |
| 7 | Applications of Definite Integration | |
| 8 | Differential Equation and Applications | |
| 🞽 | Part - II | - |
| 9 | Commission, Brokerage and Discount | |
| 10 | Insurance and Annuity | |
| 11 | Linear Regression | |
| 12 | Time Series | |
| 13 | Index Numbers | |
| 14 | Linear Programming | |
| 15 | Assignment Problem and Sequencing | |
| 16 | Probability Distributions | |
| Total | - |
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Syllabus
🞽 Part - I
1 Mathematical Logic [Revision]- Truth Value of Statement
- Logical Connective, Simple and Compound Statements
- Concept of Statements
- Conjunction (∧)
- Disjunction (∨)
- Conditional statement (Implication) (→)
- Biconditional (Double implication) (↔) or (⇔)
- Negation (∼)
- Quantifier and Quantified Statements in Logic
- Universal quantifier (∀)
- Existential quantifier (∃)
- Statement Patterns and Logical Equivalence
- Algebra of Statements
- Idempotent law
- Associative law
- Commutative law
- Distributive law
- Identity law
- Complement law
- Involution law
- DeMorgan’s laws
- Venn Diagrams
- Overview of Mathematical Logic
2 Matrices [Revision]
3 Differentiation [Revision]
- Derivatives of Composite Functions - Chain Rule
- Derivatives of Inverse Functions
- The Concept of Derivative
- Derivatives of Logarithmic Functions
- Derivatives of Implicit Functions
- Derivatives of Parametric Functions
- Second Order Derivative
- Overview of Differentiation
4 Applications of Derivatives [Revision]
- Introduction of Derivatives
- 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
- Application of Derivatives to Economics
- Overview of Applications of Derivatives
5 Integration [Revision]
6 Definite Integration [Revision]
7 Applications of Definite Integration [Revision]
- Standard Forms of Parabola and Their Shapes
- Standard Forms of Ellipse
- Area Under Simple Curves
- Simple curves: lines, parabolas, polynomial functions
- Overview of Application of Definite Integration
8 Differential Equation and Applications [Revision]
- Differential Equations
- Order and Degree of a Differential Equation
- Formation of Differential Equation by Eliminating Arbitary Constant
- 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
- Overview of Differential Equations
🞽 Part - II
9 Commission, Brokerage and Discount [Revision]- Commission and Brokerage Agent
- Principal
- Commission
- Commission Agents
- Broker
- Factor
- Del Credere Agent
- Concept of Discount
- Overview of Commission, Brokerage and Discount
10 Insurance and Annuity [Revision]
- Types of Business Services
- Insurance
-
Introduction
-
Principles
-
- Insurance
- Types of Insurance
-
Life Insurance
-
Marine Insurance
-
Fire Insurance
-
- Annuity
- Terminology of Annuity
- Annuity Due
- Sinking Fund - Overview of Insurance and Annuity
11 Linear Regression [Revision]
- Regression
- Evolution of Regression
- Difference between Correlation and Regression
- Two Regression lines
- X on Y => X = a + by
- Y on X => Y = a + bx
- Types of Linear Regression
- Fitting Simple Linear Regression
- The Method of Least Squares
- Lines of Regression of X on Y and Y on X Or Equation of Line of Regression
- Properties of Regression Coefficients
- Overview: Linear Regression
12 Time Series [Revision]
- Introduction to Time Series
- Uses of Time Series Analysis
- Components of a Time Series
- Secular Trend
- Seasonal Variation
- Cyclical Variation
- Irregular Variation
- Mathematical Models
- Additive Model
- Multiplicative Model
- Measurement of Secular Trend
- Method of Freehand Curve ( Graphical Method)
- Method of Moving Averages
- Method of Least Squares
- Overview of Time Series
13 Index Numbers [Revision]
- Construction of Index Numbers
- Weighted Aggregate Method
- Laspeyre's Price Index Number
- Paasche’s Price Index Number
- Dorbish-Bowley’s Price Index Number
- Fisher’s Ideal Price Index Number
- Marshall-Edgeworth’s Price Index Number
- Walsh’s Price Index Number
- Weighted Aggregate Method
- Cost of Living Index Number
Steps in Construction of Cost of Living Index Numbers
- Choice of Base Year
- Choice of Commodities
- Collection of Prices
- Choice of Average
- Choice of Weights
- Purpose of Index Numbers
- Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
- Overview of Index Numbers
- Method of Constructing Cost of Living Index Numbers - Family Budget Method
- Uses of Cost of Living Index Number
14 Linear Programming [Revision]
- Introduction of Linear Programming
- Definition of related terminology such as constraints, objective function, optimization.
- 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
- Mathematical Formulation of Linear Programming Problem
- Overview of Linear Programming
15 Assignment Problem and Sequencing [Revision]
- Assignment Problem
- Definition and formulation
- Solution of assignment problems (Hungarian Method)
- Hungarian Method of Solving Assignment Problem
- Special Cases of Assignment Problem
- Unbalanced assignment problem
- Maximization Problem
- Restricted assignment problem
- Alternative optimal solutions
- Sequencing Problem
- Types of Sequencing Problem
- Sequencing n jobs on Two Machine
- Sequencing n jobs on three machine
- Finding an Optimal Sequence
- Overview of Assignment Problem and Sequencing
16 Probability Distributions [Revision]
- Poisson Distribution
- Expected Value and Variance of a Random Variable
- Overview of Probability Distributions
- Overview of Binomial Distribution
