CBSE Class 7 Maths Syllabus - Free PDF Download
CBSE Syllabus 2025-26 Class 7: The CBSE Class 7 Maths 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 7 Maths 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 7 Maths Syllabus for 2025-26 is below.
Academic year:
CBSE Class 7 Mathematics Revised Syllabus
CBSE Class 7 Mathematics Course Structure 2025-26 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Integers | |
| 2 | Fractions and Decimals | |
| 3 | Data Handling | |
| 4 | Simple Equations | |
| 5 | Lines and Angles | |
| 6 | The Triangle and Its Properties | |
| 7 | Comparing Quantities | |
| 7 | Congruence of Triangles | |
| 8 | Rational Numbers | |
| 9 | Perimeter and Area | |
| 10 | Practical Geometry | |
| 10 | Algebraic Expressions | |
| 11 | Exponents and Powers | |
| 12 | Symmetry | |
| 13 | Visualizing Solid Shapes | |
| Total | - |
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Syllabus
1 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
- Representation of Integers on the Number Line
- 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
- Properties of Addition and Subtraction of Integers
- Multiplication of a Positive and a Negative Integers
- Multiplication of Two Negative Integers
- Product of Three Or More Negative Integers
- Properties of Multiplication of Integers
- Division of Integers
- Properties of Division of Integers
2 Fractions and Decimals
- Concept of Fraction
- Definition: Fraction
- Structure of Fraction
- Understanding Parts of a Whole with Fractions
- Real-Life Applications
- Key Points Summary
- Types of Fractions
- Introduction
- Classification of Fractions with Examples and Conditions
- Concept of Proper and Improper Fractions
- Definition: Proper Fraction
- Definition: Improper Fraction
- 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 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
- 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
- Problems Based on Fraction
- Example 1
- Example 2
- Example 3
- Example 4
- Key Points Summary
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Comparing Decimal Numbers
- Comparison when whole parts equal
- Comparison when whole parts are unequal
- 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
- 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
- Problems Based on Decimal Numbers
3 Data Handling
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Concept of Representative Values - Average
- Arithmetic Mean
- Basic Concept of Mode
- Basic Concept of Median
- Definition: Median
- Formula: Odd Number of Observations
- Formula: Even Number of Observations
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Concept of Graph
- Definition: Graph
- Graph Paper
- X-axis and Y-axis
- Use of Scale
- Chance and Probability - Chance
4 Simple Equations
- Constants and Variables in Mathematics
- Definition: Constants
- Definition: Variables
- Identifying Terms
- Real-Life Application
- Key Points Summary
- Use of Variables in Common Rules
- Expressions with Variables
- Equation in Mathematics
- Definition: Equation
- Balancing an Equation
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Method of Solving an Equation
- From Solution to Equation
- Applications of Simple Equations to Practical Situations
5 Lines and Angles
- 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
- 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
- Intersecting Lines
- Definition: Intersecting Lines
- Properties of a Intersecting Lines
- Key Points Summary
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Concept of Transversal Lines
- Introduction
- Angles Formed by Two Lines and Their Transversal
- When Two Parallel Lines Are Cut by a Transversal
- Example 1
- Concept of Angle
- Introduction
- Parts of an Angle
- Naming and Representation of an Angle
- Example
- Real-Life Examples
6 The Triangle and Its 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
- Median of a Triangle
- Definition: Median
- Properties of Medians
- The Centroid
- Key Points Summary
- Altitudes of a Triangle
- Introduction
- Definition: Altitude
- Altitudes and Their Point of Convergence
- Key Points Summary
- Exterior Angle of a Triangle and Its Property
- Definition: Exterior Angle
- Properties of Exterior Angles
- Example
- Key Points Summary
- Some Special Types of Triangles - Equilateral and Isosceles Triangles
- 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
- Right-angled Triangles and Pythagoras Property
7 Comparing Quantities
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
- Concept of Equivalent Ratios
- 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
- 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
- Estimation in Percentages
- Interpreting Percentages
- 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
- Ratios to Percents
- Increase Or Decrease as Percent
- Basic Concepts of Profit and Loss
- Profit or Loss as a Percentage
- Profit Percentage
- Loss Percentage
- Formula
- Understanding Profit or Loss Percentage with Example
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
7 Congruence of Triangles
- Similarity and Congruency of Figures
- Definition: Similarity of Figures
- Examples
- Congruence Among Line Segments
- Congruence of Angles
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Criteria for Similarity of Triangles
- Exceptional Criteria for Congruence of Triangles
8 Rational Numbers
- Rational Numbers
- Equivalent Rational Number
- Positive and Negative Rational Numbers
- Rational Numbers on a Number Line
- Rational Numbers in Standard Form
- Comparison of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Addition of Rational Number
- Subtraction of Rational Number
- Multiplication of Rational Numbers
- Division of Rational Numbers
9 Perimeter and Area
- 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
- Perimeter of Triangle
- 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
- Triangles as Parts of Rectangles and Square
- Generalising for Other Congruent Parts of Rectangles
- Area of a Parallelogram
- Area of a Triangle
- Circumference of a Circle
- Area of Circle
- Conversion of Units
- Problems based on Perimeter
- Perimeter Formulas
- Example 1
- Example 2
- Example 3
- Example 4
- Activity: Race Track Problem
- Key Points and Common Mistakes to Avoid
- Problems based on Area
- Features and Formulas
- Example 1
- Example 2
- Example 3
- Example 4
- Example 5
- Key Points Summary
10 Practical Geometry
- Construction of a Line Parallel to a Given Line, Through a Point Not on the Line
- 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
10 Algebraic Expressions
- 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
- Evaluation of Algebraic Expressions
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Use of Variables in Common Rules
11 Exponents and Powers
- Concept of Exponents
- Laws of Exponents
- Miscellaneous Examples Using the Laws of Exponents
- Decimal Number System Using Exponents and Powers
- Crores
- Introducing crores
- A standard form of large numbers
12 Symmetry
- Concept of Symmetry
- Introduction
- Definition: Symmetry
- Definition: Line of Symmetry
- Activity 1
- Activity 2
- Key Points Summary
- Lines of Symmetry for Regular Polygons
- Reflection Symmetry (Mirror Symmetry)
- Definition: Reflectional Symmetry
- Axis of Symmetry
- Examples
- Concept of Rotational Symmetry
- Rotational Symmetry
- Introduction
- Symmetries of a Circle
13 Visualizing Solid Shapes
- 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
- 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
- Viewing Different Sections of a Solid
