Maharashtra State Board 5th Standard Mathematics Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 5th Standard: The Maharashtra State Board 5th 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 5th 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 5th Standard Mathematics Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 5th Standard Mathematics Revised Syllabus
Maharashtra State Board 5th Standard Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Roman Numerals | |
| 2 | Number Work | |
| 3 | Addition and Subtraction | |
| 4 | Multiplication and Division | |
| 5 | Fractions | |
| 6 | Angles | |
| 7 | Circles | |
| 8 | Multiples and Factors | |
| 9 | Decimal Fractions | |
| 10 | Measuring Time | |
| 11 | Problems on Measurement | |
| 12 | Perimeter and Area | |
| 13 | Three Dimensional Objects and Nets | |
| 14 | Pictographs | |
| 15 | Patterns | |
| 16 | Preparation for Algebra | |
| Total | - |
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Syllabus
1 Roman Numerals
- Introduction to Roman Numerals
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
2 Number Work
- Introduction of Number Work
- Introducing the Six Digit Number - 1,00,000
- Introduction
- Reading and Writing six-digit numbers
- Introducing seven-digit numbers
- Introduction
- Reading and writing seven-digit numbers
- Expansion Form of Numbers
- Concept of Place Value
- Definition: Place Value
- Place Value of the Whole Number
- Place Value of a Decimal Number
- Real-Life Applications
- Key Points Summary
- Largest and Smallest Numbers
- Pattern Formed by Largest Numbers
- Pattern Formed by Smallest Numbers
- Key Points Summary
- Crores
- Introducing crores
- A standard form of large numbers
3 Addition and Subtraction
4 Multiplication and Division
5 Fractions
- Types of Fractions
- Introduction
- Classification of Fractions with Examples and Conditions
- Concept of Equivalent Fractions
- Definition: Equivalent Fractions
- Definition: Cross Product
- Obtaining Equivalent Fractions
- Examples
- Real-Life Application
- Key Points Summary
- Like and Unlike Fraction
- Definition: Like Fractions
- Definition: Unlike Fractions
- Key Points Summary
- Concept of Mixed Fractions
- Definition: Mixed Fraction
- Structure of Mixed Fractions
- Example 1
- Example 2
- Example 3
- Real-Life Application
- Key Points Summary
- Concept of Proper and Improper Fractions
- Definition: Proper Fraction
- Definition: Improper Fraction
- Key Points Summary
- Conversion between Improper and Mixed fraction
- Introduction
- Steps to Convert a Mixed Fraction into an Improper Fraction
- Example of Converting a Mixed Fraction to an Improper Fraction
- Steps to Convert an Improper Fraction into a Mixed Fraction
- Example of Converting an Improper Fraction to a Mixed Fraction
- Key Points Summary
- Conversion between Unlike and Like Fractions
- Introduction
- Steps to Convert Unlike Fractions into Like Fractions
- Examples
- Key Points Summary
- Comparing Fractions
- Introduction
- Case 1: Comparing Like Fractions
- Case 2: Comparing Unlike Fractions
- Case 3: Comparing Unlike Fractions with the Same Numerators
- Example 1
- Example 2
- Key Points Summary
- 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
- Multiplication of Fraction
- Introduction
- Formula
- Steps to Multiply Fractions
- Examples
- Key Points Summary
- Using Operator 'Of' with Multiplication and Division
- Introduction
- Understanding Fractions as Multiplication ('of')
- Example 1
- Example 2
- Real-Life Application
- Key Points Summary
6 Angles
- Measuring Angles
- Introduction
- Units of Measurement
- Measuring with a Protractor
- Steps to Measure an Angle Using a Protractor
- Activity: Make Your Own Paper Protractor
- Key Points Summary
- Common Errors
- 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
- Types of Angles
- Introduction
- Types of Angles
- Activity: Exploring a Straight Angle Using Paper Folding
- Key Rotational Benchmarks
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- The Perpendicular
- Introduction
- Definition: Perpendicular Lines
- Real-Life Applications
- Key Points Summary
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
7 Circles
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Drawing a Circle with a Compass
- Relationship Between Radius and Diameter
- The Interior and the Exterior of a Circle
- Definition: Interior of a Circle
- Definition: Exterior of a Circle
- Definition: The Boundary
- Real-Life Applications
- Key Points Summary
- Circumference of a Circle
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
8 Multiples and Factors
- 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
- 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
- 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
- Co-prime Numbers
- Definition: Co-primes
- Properties of Co-Prime Numbers
- Thread Art Patterns and Co-primality
- Eratosthenes’ Method of Finding Prime Numbers
- Historical Note
- Step-by-Step Guide to Eratosthenes’ Prime Number Method
- Key Points Summary
- Method to Find Prime Numbers
9 Decimal Fractions
- Decimal Fractions
- Definition: Decimal Fraction
- Positional Notation and Fraction Representation
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Decimal Place Value
- Concept of Place Value
- Definition: Place Value
- Place Value of the Whole Number
- Place Value of a Decimal Number
- Real-Life Applications
- Key Points Summary
- Use of Decimal Fraction
- Writing Half, Quarter, Three-quarters and One and a Quarter in Decimal Form
- 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
- Decimals Used for Measurement
10 Measuring Time
11 Problems on Measurement
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 Squares
- Introduction
- Formula: Perimeter of Squares
- Example 1
- Example 2
- Key Points Summary
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Area of Rectangle
- Introduction
- Formula: Area of a Rectangle
- Example 1
- Example 2
- Key Points Summary
- Area of Square
- Introduction
- Formula: Area of a Square
- Example 1
- Example 2
- Key Points Summary
13 Three Dimensional Objects and Nets
- Two Dimensional Drawings of Three Dimensional Objects
- Nets of 3D Figures
- Definition: Net
- Example
- Key Points Summary
- A five-square net (Pentomino)
14 Pictographs
- Pictographs
- Introduction
- Scale
- Example 1
- Example 2
- Key Points Summary
15 Patterns
- Mathematical Patterns
- Definition: Pattern
- Example
- Square Numbers and Their Formation
- Triangular Numbers and Their Formation
- Key Points Summary
- Patterns in Numbers
- Number Patterns and Sequences
- Visualising Number Sequence
- Exploring Number Patterns
- Relations Among Number Sequences
16 Preparation for Algebra
