CBSE Class 5 Mathematics Syllabus - Free PDF Download
CBSE Syllabus 2025-26 Class 5: The CBSE Class 5 Mathematics Syllabus for the examination year 2025-26 has been released by the Central Board of Secondary Education, CBSE. 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 2025-26 CBSE Class 5 Mathematics Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.
The detailed CBSE Class 5 Mathematics Syllabus for 2025-26 is below.
Academic year:
CBSE Class 5 Mathematics Revised Syllabus
CBSE Class 5 Mathematics Course Structure 2025-26 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Math Magic | |
| 1 | The Fish Tale | |
| 2 | Shapes and Angles | |
| 3 | How Many Squares? | |
| 4 | Parts and Wholes | |
| 5 | Does It Look the Same? | |
| 6 | Be My Multiple, I'll Be Your Factor | |
| 7 | Can You See the Pattern? | |
| 8 | Mapping Your Way | |
| 9 | Boxes and Sketches | |
| 10 | Tenths and Hundredths | |
| 11 | Area and Its Boundary | |
| 12 | Smart Charts | |
| 13 | Ways to Multiply and Divide | |
| 14 | How Big? How Heavy? | |
| Total | - |
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Syllabus
1: Math Magic
CBSE Class 5 Mathematics Syllabus
1 The Fish Tale
- The Fish Tale
- Properties of a Square
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Measurement of Length (CM, Meter, Kilometer)
- Comparing quantity by sizes
- Measurement of Weight (Gram, Kilogram)
- Comparing quantity by weight
- Measurement of Height
- Measurement of Depth (Feet)
- Speed, Distance and Time
- Introduction
- Formula: Speed
- Formula: Distance
- Formula: Time
- Units Used
- Example 1
- Example 2
- Key Points Summary
- Introducing a 5 Digit Number - 10,000
- 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
- Crores
- Introducing crores
- A standard form of large numbers
- Relation Between Money and Weight
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
- Basic Concepts of Profit and Loss
2 Shapes and Angles
- Basic Concept of Polygons
- Introduction
- Definition: Polygon
- Parts of a Polygon
- Classification of Polygons (Naming)
- Types of Polygons
- Real-LIfe Examples
- Key Points Summary
- Classification of Polygons
- Regular Polygon
- Irregular Polygon
- Convex Polygon
- Concave Polygon
- Simple Polygon
- Complex Polygon
- Sum of Interior Angles of a Polygon
- Introduction
- Formula: Sum of Interior Angles
- Example
- Key Points Summary
- Measuring Line Segments
- Types of Angles
- Introduction
- Types of Angles
- Activity: Exploring a Straight Angle Using Paper Folding
- Key Rotational Benchmarks
- Plane Figures and Solid Shapes
- Change in Shapes
- Right, Straight, and Complete Angle by Direction and Clock
- 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
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
3 How Many Squares?
- Basic Concepts in Mensuration
- Introduction
- Plane Closed Figures
- Region of the Figure
- Key Points Summary
- 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 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
- Triangles as Parts of Rectangles and Square
- Mathematical Patterns
- Definition: Pattern
- Example
- Square Numbers and Their Formation
- Triangular Numbers and Their Formation
- Key Points Summary
4 Parts and Wholes
- Concept of Fraction
- Definition: Fraction
- Structure of Fraction
- Understanding Parts of a Whole with Fractions
- Real-Life Applications
- Key Points Summary
- Mathematical Patterns
- Definition: Pattern
- Example
- Square Numbers and Their Formation
- Triangular Numbers and Their Formation
- Key Points Summary
- Patterns in Parts
- 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
- Using Operator 'Of' with Multiplication and Division
- Introduction
- Understanding Fractions as Multiplication ('of')
- Example 1
- Example 2
- Real-Life Application
- Key Points Summary
- Multiplication of Fraction
- Introduction
- Formula
- Steps to Multiply Fractions
- Examples
- Key Points Summary
- Division of Fractions
- Introduction
- Formula
- Definition: Fraction, Division and Reciprocal
- Example
- Key Points Summary
- Concept of Reciprocals or Multiplicative Inverses
5 Does It Look the Same?
- Generating Symmetric Shapes
- 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
- Lines of Symmetry for Regular Polygons
- Concept of Rotational Symmetry
- Rotational Symmetry
- Introduction
- Symmetries of a Circle
6 Be My Multiple, I'll Be Your Factor
- 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 3
- 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
- Some More Divisibility Rules
- 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
- Arranging the Objects in Rows and Columns
- Prime Factorisation
- Definition: Prime Factor
- Examples
- Prime Factorisation of a Product
- Applications of Prime Factorisation: Checking Co-primeness
- Applications of Prime Factorization: Checking Divisibility
7 Can You See the Pattern?
- 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
- Pattern in Letter
- Games with Numbers
8 Mapping Your Way
- Map
- The Central Hexagon
- Waiting for the Parade
- Trip to Red Fort
- Enlarging Or Reducing of Pictures and Maps
- Map of India
- Physical Map
- Political Map
- Transport map in India
- Coast map in India
- Mapping Space Around Us
9 Boxes and Sketches
- Plane Figures and Solid Shapes
- Faces, Edges and Vertices of Polyhedron
- Introduction
- Faces, Edges, and Vertices
- Cuboid
- Cube
- Cylinder
- Sphere
- Cone
- Prism
- Triangular Pyramid
- Quadrilateral Pyramid
- Key Points Summary
- Viewing Different Sections of a Solid
- Nets of 3D Figures
- Definition: Net
- Example
- Key Points Summary
- Oblique Sketches of 3D Shapes
- Introduction
- Step-by-Step Construction
- Example 1: Oblique Sketch of a Cube
- Real-life Application
- Key Points Summary
- Drawing Solids on a Flat Surface - Isometric Sketches
- Visualising Solid Objects
10 Tenths and Hundredths
- Understand Relationship Between Metre and Centimetre.
- Conversion of Metre into Centimetre.
- Conversion of Centimetre into Metre.
- Measurement of Length
- Length and Its Measurement
- The Parallax Method
- Activity: Understanding Parallax Through Experience
- Measuring Stellar Distances
- Measuring the Size od Celestial Objects
- Measuring Very Small Distances
- Special Units for Large Distances
- Example
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- 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
- Using Decimal Number as Units
- Decimals in money
- Decimals in length measurement
- Decimals in weight measurement
- Conversion of Units
- Decimal Place Value
11 Area and Its Boundary
- Concept of Perimeter
- Introduction
- Formula: Perimeter
- Units of Perimeter
- Example 1
- Example 2
- Key Points Summary
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Measurement of Length
- Length and Its Measurement
- The Parallax Method
- Activity: Understanding Parallax Through Experience
- Measuring Stellar Distances
- Measuring the Size od Celestial Objects
- Measuring Very Small Distances
- Special Units for Large Distances
- Example
- Measurement of Width
- Measuring the Length of a Curved Line
12 Smart Charts
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
- Pie Diagram
- Concept of Graph
- Definition: Graph
- Graph Paper
- X-axis and Y-axis
- Use of Scale
- Concept of Double Bar Graph
- Histograms
- Concept of a Line Graph
- Family Tree
13 Ways to Multiply and Divide
- Concept of Multiplication
- Application of Multiplication
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Concept of Division
- Application of Division
14 How Big? How Heavy?
- Concept of Volume
- Concept of Capacity
- Volume of Cube
- Mensuration of Cylinder
- Definition: Cylinder
- Properties of a Cylinder
- Activity 1
- Activity 2
- Measurement of Weight
