Maharashtra State Board 6th Standard Mathematics Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 6th Standard: The Maharashtra State Board 6th Standard Mathematics 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 6th Standard Mathematics 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 6th Standard Mathematics Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 6th Standard Mathematics Revised Syllabus
Maharashtra State Board 6th Standard Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Basic Concepts in Geometry | |
| 2 | Angles | |
| 3 | Integers | |
| 4 | Operations on Fractions | |
| 5 | Decimal Fractions | |
| 6 | Bar Graphs | |
| 7 | Symmetry | |
| 8 | Divisibility | |
| 9 | HCF-LCM | |
| 10 | Equations | |
| 11 | Ratio and Proportion | |
| 12 | Percentage | |
| 13 | Profit –Loss | |
| 14 | Banks and Simple Interest | |
| 15 | Triangles and Their Properties | |
| 16 | Quadrilaterals | |
| 17 | Geometrical Constructions | |
| 18 | Three Dimensional Shapes | |
| Total | - |
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Syllabus
1 Basic Concepts in Geometry
- Fundamentals of Geometrical Concepts
- Introduction
- Fundamental Geometrical Concepts
- Concept of Points
- Definition: Point
- Fundamental Concept of a Point
- Definition: Collinear Points
- Definition: Non-Collinear Points
- Real-Life Examples
- Key Points Summary
- Concept of Lines
- Definition: Line
- Definition: Concurrent Lines
- Fundamental Properties and Representation of a Line
- Line Segments
- Definition: Line Segment
- Properties and Measurement of a Line Segment
- Activity: Understanding a Line Segment
- Rays
- Introduction
- Definition: Ray
- Properties and Representation of a Ray
- Planes
- Definition: Plane
- Properties of Plane
- Key Points Summary
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Intersecting Lines
- Definition: Intersecting Lines
- Properties of a Intersecting Lines
- Key Points Summary
2 Angles
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
- Types of Angles
- Introduction
- Types of Angles
- Activity: Exploring a Straight Angle Using Paper Folding
- Key Rotational Benchmarks
- Geometric Tool
- Concept of Angle Bisector
- Definition
- Properties of an Angle Bisector
- Activity
- Construction of an Angle Bisector Using a Compass
- Construction of an Angle
- Introduction
- Drawing an Angle Using a Protractor
- Construct an Angle Equal to a Given Angle
- Constructing Particular Angles (Bisecting an Angle)
- Key Points Summary
- Construction of an Angle Bisector: 30°, 45°, 60°, 90°
- Construction of an Angle 30°
- Construction of an Angle 45°
- Construction of an Angle 60°
- Construction of an Angle 90°
3 Integers
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
- 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
- Representation of Integers on the Number Line
- Addition of Integers
- Rules for Addition of Integers
- Real-Life Applications
- Activity
- Opposite Numbers
- Comparison of Integers
- Subtraction of Integers
- Rules for Subtraction of Integers
- Real-Life Application
4 Operations on Fractions
- Concept of Fraction
- Definition: Fraction
- Structure of Fraction
- Understanding Parts of a Whole with Fractions
- Real-Life Applications
- Key Points Summary
- Conversion Between Improper Fractions and Mixed Numbers
- Conversion of an Improper Fraction into a Mixed Number
- Conversion of a Mixed Number into an Improper Fraction
- Addition of Fraction
- Introduction
- Steps for Adding Fractions
- Case 1: Proper Fraction + Proper Fraction
- Case 2: Improper Fraction + Improper Fraction
- Case 3: Mixed Fraction + Mixed Fraction
- Brahmagupta’s Method for Adding Fractions (Adding Unlike Fractions)
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Subtraction of Fraction
- Introduction
- Steps for Subtracting Fractions
- Case 1: Proper Fraction – Proper Fraction
- Case 2: Improper Fraction – Improper Fraction
- Case 3: Mixed Fraction – Mixed Fraction
- Real-Life Application
- Key Points Summary
- Representation of a Fractions on the Number Line
- Concept of Fractions on a Number Line
- Marking Fractions on the Number Line
- Multiplication of Fraction
- Introduction
- Formula
- Steps to Multiply Fractions
- Examples
- Key Points Summary
- Concept of Reciprocals or Multiplicative Inverses
- Division of Fractions
- Introduction
- Formula
- Definition: Fraction, Division and Reciprocal
- Example
- Key Points Summary
- Ramanujan’s Magic Square
5 Decimal Fractions
- Decimal Fractions
- Definition: Decimal Fraction
- Positional Notation and Fraction Representation
- Addition of Decimal Fraction
- Introduction
- Steps to Add Decimals
- Example 1
- Example 2
- Key Points Summary
- Subtraction of Decimal Numbers
- Introduction
- Steps to Subtract Decimals
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Decimal Place Value
- Decimals on the Number Line
- Conversion between Decimal Fraction and Common Fraction
- Introduction
- Case 1: To Convert a Common Fraction into a Decimal Fraction
- Case 2: To Convert a Common Fraction into a Decimal Fraction
- Case 3: To Convert a Common Fraction into a Decimal Fraction
- Steps to Convert a Decimal Fraction into a Common Fraction
- Key Points Summary
- Multiplication of Decimal Numbers
- Introduction
- Steps to Multiply Decimals
- Multiplying by Powers of 10
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- Division of Decimal Numbers
- Introduction
- Case 1: Division of Decimal by a Natural (Whole) Number
- Case 2: Division of a Decimal Number by a Decimal Number
- Case 3: Division of Decimal by 10, 100, 1000, etc.
- Key Points Summary
- The 7-13-11 Multiplication Trick
6 Bar Graphs
- Concept of Graph
- Definition: Graph
- Graph Paper
- X-axis and Y-axis
- Use of Scale
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
- Bar Graphs
- Introduction
- Elements of Bar Graph
- Example 1
- Example 2
- Example 3
- Key Points summary
- Pictographs
- Introduction
- Scale
- Example 1
- Example 2
- Key Points Summary
7 Symmetry
- Concept of Symmetry
- Introduction
- Definition: Symmetry
- Definition: Line of Symmetry
- Activity 1
- Activity 2
- Key Points Summary
- Reflection Symmetry (Mirror Symmetry)
- Definition: Reflectional Symmetry
- Axis of Symmetry
- Examples
- Drawing a Symmetric Figure on a Graph
8 Divisibility
- Tests for Divisibility of Numbers
- Introduction
- Divisibility Rules
- Divisibility by 2
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 5
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 10
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 3
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 4
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 9
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
9 HCF-LCM
- Elements of Division
- Factors and Common Factors
- Definition: Factor
- Product and Factor
- Examples of Finding Factors of Numbers
- Properties of Factors
- Definition: Common Factor
- Activity
- Multiples and Common Multiples
- Introduction
- Definition: Multiple
- Examples
- Properties of Multiples
- Real-life Application
- 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
10 Equations
- Equation in Mathematics
- Definition: Equation
- Balancing an Equation
- Constants and Variables in Mathematics
- Definition: Constants
- Definition: Variables
- Identifying Terms
- Real-Life Application
- Key Points Summary
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
11 Ratio and Proportion
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Proportion
- Definition: Proportion
- Rules of Proportion
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Key Points Summary
- Unitary Method
- Definition: Unitary Method
- Steps for Applying the Unitary Method
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Examples
- Key Points Summary
12 Percentage
- Basic Concept of Percentage
- Introduction
- Symbol of Percentage
- Formula: Percentage
- Steps to Convert Fractions to Percentages
- Example 1
- Example 2
- Real-Life Examples
- Key Points Summary
- Conversion between Percentage and Fraction or Decimal
- Introduction
- Steps to Convert a Percentage into a Fraction
- Examples: Converting Percentages to Fractions
- Steps to Convert a Fraction into a Percentage
- Examples: Converting Fractions to Percentages
- Real-Life Applications
13 Profit –Loss
- Basic Concepts of Profit and Loss
- Profit or Loss as a Percentage
- Profit Percentage
- Loss Percentage
- Formula
- Understanding Profit or Loss Percentage with Example
- Total Cost Price in Mathematics
- Definition: Total Cost Price
- Examples
14 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
15 Triangles and Their Properties
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Classification of Triangles based on Sides
- Introduction
- Classification of Triangles based on Sides
- Key Points Summary
- Classification of Triangles based on Angles
- Introduction
- Classification of Triangles based on Angles
- Key Points Summary
- Basic Properties of a Triangle
- Sum of the three angles of a triangle = 180°
- Sum of any two sides is greater than the third side.
- Activity 1
- Activity 2
16 Quadrilaterals
- Quadrilaterals
- Introduction
- Parts of a Quadrilateral
- Reading and Writing of a Quadrilateral
- Real-Life Examples
- Key Points Summary
- Properties of Quadrilateral
- Adjacent Sides and Angles
- Opposite Sides and Angles
- Diagonals of a Quadrilateral
- Angle Sum Property of a Quadrilateral
- Basic Concept of Polygons
- Introduction
- Definition: Polygon
- Parts of a Polygon
- Classification of Polygons (Naming)
- Types of Polygons
- Real-LIfe Examples
- Key Points Summary
- Kaprekar Number
- Definition
- Steps
17 Geometrical Constructions
- The Perpendicular
- Introduction
- Definition: Perpendicular Lines
- Real-Life Applications
- Key Points Summary
- 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 Perpendicular Bisector
- Definition: Perpendicular Bisector
- Properties
- Construction of the Perpendicular Bisector
- Activity: Understanding the Perpendicular Bisector
- Carl Gauss’s Clever Trick
18 Three Dimensional Shapes
- Prism
- Definition: Prism
- Cubes
- Definition: Cubes
- Properties of a Cube
- Basic Concept of Cylinder
- Pyramid
- Definition: Pyramid
- Properties of a Pyramid
- Activity 1
- Activity 2
- Basic Concept of Cone
- Basic Concept of Spheres
- Definition: Sphere
- Properties of a Sphere
