CISCE ICSE Class 7 Maths Syllabus - Free PDF Download
CISCE Syllabus 2025-26 ICSE Class 7: The CISCE ICSE Class 7 Maths Syllabus for the examination year 2025-26 has been released by the Council for the Indian School Certificate Examinations, CISCE. 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 CISCE ICSE Class 7 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CISCE syllabus to prepare for their annual exam properly.
The detailed CISCE ICSE Class 7 Maths Syllabus for 2025-26 is below.
Academic year:
CISCE ICSE Class 7 Mathematics Revised Syllabus
CISCE ICSE Class 7 Mathematics Course Structure 2025-26 With Marking Scheme
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Syllabus
1: Number System
CISCE ICSE Class 7 Mathematics Syllabus
1.01 Integers
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
- Multiplication and Division of Integers
- Properties of Operations on Integers
- Concept for Commutativity, Associativity, Existence of Identity
- Inverse and Distributivity
- Problem Solving Using Operations on Integers
- Statement Problems on Integers Using All Fundamental Operations.
1.02 Rational Numbers
- Rational Numbers
- Word Problems on Rational Numbers (All Operations)
- Decimal Representation of Rational Numbers
- Concept for Problem Solving Using Operations on Rational Numbers
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
1.03 Fractions (Including Problems)
- Concept of Fraction
- Definition: Fraction
- Structure of Fraction
- Understanding Parts of a Whole with Fractions
- Real-Life Applications
- 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
- Concept of Reciprocals or Multiplicative Inverses
1.04 Decimal Fractions (Decimals)
- The Decimal Number System
- Introduction
- Rules
- Understanding the Decimal Number System
- Real-Life Applications
- Key Points Summary
- Concept of Multiplication
- 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
1.05 Exponents (Including Laws of Exponents)
- Concept of Exponents
- Concept for Exponents Only Natural Numbers.
- Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.)
- Concept for Application of Laws of Exponents in Simple Daily Life Problems
2: Commercial Arithmetic
CISCE ICSE Class 7 Mathematics Syllabus
2.01 Ratio and Proportion (Including Sharing in a Ratio)
- Ratio
- Definition: Ratio
- Key Concepts in Ratios
- Examples
- Real-Life Application
2.02 Unitary Method (Including Time and Work)
- 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
- Speed, Distance and Time
- Introduction
- Formula: Speed
- Formula: Distance
- Formula: Time
- Units Used
- Example 1
- Example 2
- Key Points Summary
2.03 Percent and 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
2.04 Profit, Loss and Discount
- Concept of Discount
- Concept for Application to Profit and Loss (Single Transaction Only)
2.05 Simple Interest
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
3: Algebra
CISCE ICSE Class 7 Mathematics Syllabus
3.01 Fundamental Concepts (Including Fundamental Operations)
- Fundamental Concepts
- Terms, Factors and Coefficients of Expression
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Performs Operations (Addition and Subtraction) on Algebraic Expressions with Integral Coefficients Only.
3.02 Simple Linear Equations (Including Word Problems)
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Concept for Inequalities
- The sign > means, "is greater than" i.e.; if 'a' is greater than 'b', we write : a > b.
- The sign < means, "is less than" i.e.; if 'a' is less than 'b', we write : a < b.
- Concept for Solution of Simple Inequalities in One Variable
3.03 Set Concepts (Some Simple Divisions by Vedic Method)
- Concept of Set Concepts
- Concept for Revision Idea of Sets
- Universal Set
- Cardinality of a Set
- Definition: Cardinality
- Examples
- Real-Life Application
- Key Points Summary
4: Geometry
CISCE ICSE Class 7 Mathematics Syllabus
4.01 Lines and Angles (Including Construction of Angles)
- Introduction to Lines and 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
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Construction of a Line Parallel to a Given Line from a Point Outside It .
4.02 Triangles
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Concept for Angle Sum Property
- Concept for Exterior Angle Property
- Concept for Construction of Simple Triangles.
4.03 Pythagoras Theorem
4.04 Symmetry (Including Reflection and Rotation)
- 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
- Reflection Symmetry in 2-D Shapes
- Introduction
- Reflection Symmetry
- Key Characteristics
- Shapes with Reflection Symmetry
- Real-Life Applications
4.05 Recognition of Solids (Representing 3-d in 2-d)
- Concept of Recognition of Solids
- Faces, Edges and Vertices of Polyhedron
- Introduction
- Faces, Edges, and Vertices
- Cuboid
- Cube
- Cylinder
- Sphere
- Cone
- Prism
- Triangular Pyramid
- Quadrilateral Pyramid
- Key Points Summary
- Concept for Mapping the Space Around Approximately Through Visual Estimation.
4.06 Congruency: Congruent Triangles
- Congruence of Triangles
- Concept for Congruence Through Superimposition
- Extend Congruence to Simple Geometrical Shapes E.G. Triangles, Circles.
- Criteria for Congruence of Triangles
4.07 Mensuration
- 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
- Circumference of a Circle
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Concept of Measurement Using a Basic Unit Area of a Square, Rectangle, Triangle, Parallelogram and Circle, Rings and Combined Figures.
5: Data Handling (Statistics)
CISCE ICSE Class 7 Mathematics Syllabus
5.01 Data Handling
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Arithmetic Mean
- 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
- Basic Concept of Mode
- Geometric Constructions
- Bar Graphs
- Introduction
- Elements of Bar Graph
- Example 1
- Example 2
- Example 3
- Key Points summary
5.02 Probability
- Concept of Probability
- Concept for Feel of Probability Using Data Through Experiments.
- Concept for Notion of Chance
- Concept for Tabulating and Counting Occurrences
- Comparing the Observation with that for a Coin. Observing Strings of Throws, Notion of Randomness.
