Maharashtra State Board 7th Standard Maths Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 7th Standard: The Maharashtra State Board 7th 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 7th 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 7th Standard Maths Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 7th Standard Mathematics Revised Syllabus
Maharashtra State Board 7th Standard Mathematics Course Structure 2026-27 With Marking Scheme
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Syllabus
1 Geometrical Constructions
- Concept of Angle Bisector
- Definition
- Properties of an Angle Bisector
- Activity
- Drawing a Perpendicular to a Line
- Introduction
- By Folding Paper
- Using a Protractor
- Perpendicular at a Point on the Line (Using a Set Square)
- Perpendicular from a Point Outside the Line (Using a Set Square)
- Perpendicular from a Point on the Line (Using a Compass)
- Perpendicular from a Point Outside the Line (Using a Compass)
- Key Points Summary
- The Property of the Angle Bisectors of a Triangle
- Perpendicular Bisectors of the Sides of an Acute-angled Triangle
- Perpendicular Bisectors of the Sides of an Obtuse-angled Triangle
- Construction of Triangles
- Introduction
- Construction 1: Three Sides Given (SSS)
- Construction 2: Two Sides and Included Angle Given (SAS)
- Construction 3: Two Angles and the Included Side Given (ASA)
- Key Points Summary
- Congruence Among Line Segments
- Congruence of Angles
- Congruence of Circles
2 Multiplication and Division of Integers
- Natural Numbers
- Definition: Natural Numbers
- Characteristic of Natural Numbers
- Real-life Examples
- Key Points Summary
- Whole Numbers
- Definition: Whole Numbers
- Characteristic of Whole Numbers
- Real-life Examples
- Key Points Summary
- Negative and Positive Numbers
- Definition
- Integer Positions and Their Relationships
- Bela’s Building of Fun
- Numbering the floors in the building of fun
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
- Ordering of Integers
- Introduction
- Properties of Integer Ordering
- Examples 1
- Examples 2
- Addition of Integers
- Rules for Addition of Integers
- Real-Life Applications
- Activity
- Subtraction of Integers
- Rules for Subtraction of Integers
- Real-Life Application
- Multiplication of a Positive and a Negative Integers
- Multiplication of Two Negative Integers
- Multiplication of Two Positive Integers
- Division of Integers
3 HCF and LCM
- Co-prime Numbers
- Definition: Co-primes
- Properties of Co-Prime Numbers
- Thread Art Patterns and Co-primality
- Prime and Composite Numbers
- Definition: Prime Numbers
- Definition: Twin Prime Numbers
- Definition: Composite Number
- Activity: Prime or Composite? Build and Decide!
- Classification of Numbers Based on Their Factors
- Key Points Summary
- Prime Factorisation
- Definition: Prime Factor
- Examples
- Prime Factorisation of a Product
- Applications of Prime Factorisation: Checking Co-primeness
- Applications of Prime Factorization: Checking Divisibility
- Highest Common Factor (HCF)
- Definition: HCF
- Steps to Find HCF
- Example 1
- Example 2
- Key Points Summary
- Lowest Common Multiple
- Definition: LCM
- Steps to Find the LCM
- Examples
4 Angles and Pairs of Angles
- Trigonometrical Ratios of Complementary Angles
- Related Angles
- Concept of Pairs of Angles
- Introduction
- Adjacent Angles
- Vertically Opposite Angles
- Congruent Angles
- Complementary Angles
- Supplementary Angles
- Example 1
- Example 2
- Key Points Summary
- Sum of Interior Angles of a Polygon
- Introduction
- Formula: Sum of Interior Angles
- Example
- Key Points Summary
- Exterior Angle of a Triangle and Its Property
- Definition: Exterior Angle
- Properties of Exterior Angles
- Example
- Key Points Summary
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
5 Operations on Rational Numbers
- Rational Numbers
- Addition of Rational Number
- Additive Inverse of Rational Number
- Subtraction of Rational Number
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Decimal Representation of Rational Numbers
- BODMAS Rule
- Introduction
- Order of Operations
- Example 1
- Example 2
- Real-Life Application
- Key Points Summary
6 Indices
- Concept of Exponents
- Concept of Square Number
- Concept of Cube Number
- Laws of Exponents
- Miscellaneous Examples Using the Laws of Exponents
- Crores
- Introducing crores
- A standard form of large numbers
- Finding the Square Root of a Perfect Square
7 Joint Bar Graph
- Concept of Joint Bar Graph
- Interpretation of a Joint Bar Graph
- Drawing a Joint Bar Graph
8 Algebraic Expressions and Operations on Them
- Terms, Factors and Coefficients of Expression
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Introduction
- Multiplying Algebraic Expressions
- Examples: Monomial × Monomial
- Examples: Monomial × Polynomial
- Examples: Binomial × Binomial
- Key Points Summary
- Equations in One Variable
9 Direct Proportion and Inverse Proportion
10 Banks and Simple Interest
- Money and Banking in Arithmetic
- Introduction to Banks
- Definition: Bank and Banking
- Functions of a Bank
- Financial Transactions
- Bank Accounts
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
11 Circle
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Circumference of a Circle
- Relationship Between Circumference and Diameter
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
- Central Angle and the Measure of an Arc
12 Perimeter and Area
- Concept of Perimeter
- Introduction
- Formula: Perimeter
- Units of Perimeter
- Example 1
- Example 2
- Key Points Summary
- Perimeter of a Rectangle
- Introduction
- Formula : Perimeter of a Rectangle
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Perimeter of Polygon
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Area of Square
- Introduction
- Formula: Area of a Square
- Example 1
- Example 2
- Key Points Summary
- Area of Rectangle
- Introduction
- Formula: Area of a Rectangle
- Example 1
- Example 2
- Key Points Summary
- Area of a Triangle
- Area of a Right-angled Triangle
- Surface Area of a Cuboid
- Surface Area of a Cube
13 Pythagoras’ Theorem
14 Algebraic Formulae - Expansion of Squares
15 Statistics
- Concepts of Statistics
- Concept of Representative Values - Average
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table
- Grouped Frequency Distribution Table
