CISCE ICSE Class 8 Maths Syllabus - Free PDF Download
CISCE Syllabus 2025-26 ICSE Class 8: The CISCE ICSE Class 8 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 8 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 8 Maths Syllabus for 2025-26 is below.
Academic year:
CISCE ICSE Class 8 Mathematics Revised Syllabus
CISCE ICSE Class 8 Mathematics Course Structure 2025-26 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Number System | |
| 1.1 | Rational Numbers | |
| 1.2 | Exponents | |
| 1.3 | Squares and Square Root | |
| 1.4 | Cubes and Cube Roots | |
| 1.5 | Playing with Numbers | |
| 1.6 | Sets | |
| 2 | Ratio and Proportion | |
| 2.1 | Percent and Percentage | |
| 2.2 | Profit, Loss and Discount | |
| 2.3 | Interest | |
| 2.4 | Direct and Inverse Variations | |
| 3 | Algebra | |
| 3.1 | Algebraic Expressions | |
| 3.2 | Identities | |
| 3.3 | Factorisation | |
| 3.4 | Linear Equations in One Variable | |
| 3.5 | Linear Inequations | |
| 4 | Geometry | |
| 4.1 | Understanding Shapes | |
| 4.2 | Special Types of Quadrilaterals | |
| 4.3 | Constructions | |
| 4.4 | Representing 3-D in 2-D | |
| 5 | Mensuration | |
| 5.1 | Area of a Trapezium and a Polygon | |
| 5.2 | Surface Area, Volume and Capacity | |
| 6 | Data Handling (Statistics) | |
| 6.1 | Data Handling | |
| 6.2 | Probability | |
| Total | - |
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Syllabus
1: Number System
CISCE ICSE Class 8 Mathematics Syllabus
1.1 Rational Numbers
- Rational Numbers
- Addition of Rational Number
- Subtraction of Rational Number
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Rational Numbers on a Number Line
- Inserting Rational Numbers Between Two Given Rational Numbers
- Method of Finding a Large Number of Rational Numbers Between Two Given Rational Numbers
1.2 Exponents
- Concept of Exponents
- Law of Exponents (For Integral Powers)
- Product law
- Quotient Law
- Power Law
- Negative Integral Exponents
- More About Exponents
1.3 Squares and Square Root
- Concept of Square Roots
- Finding square roots
- Finding Square Root by Division Method
- Finding Square Root Through Prime Factorisation
- To Find the Square Root of a Number Which is Not a Perfect Square (Using Division Method)
- Properties of Square Numbers
1.4 Cubes and Cube Roots
1.5 Playing with Numbers
- Arranging the Objects in Rows and Columns
- Generalized Form of Numbers
- Two-digit Numbers
- Three-digit numbers
- Some Interesting Properties
- Letters for Digits (Cryptarithms)
- Tests for Divisibility of Numbers
- Divisibility by 10
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- 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 3
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 6
- Rule
- Step-by-Step Explanation
- Examples
- Real-Life Application
- Key Points Summary
- Divisibility by 11
- 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 10
1.6 Sets
- Concept of Sets
- Introduction
- Definition: Sets
- Well-defined and Not Well-defined Sets
- Elements of a Set and Notation
- Properties of Sets
- Examples
- Real-Life Applications
- Key Points Summary
- Representation of a Set
- Introduction
- Methods of Set Representation
- Number Sets with Different Methods
- Representing Sets Using Pictures
- Representing Sets Using Brackets
- Key Points Summary
- Cardinality of a Set
- Definition: Cardinality
- Examples
- Real-Life Application
- Key Points Summary
- Types of Sets
- Introduction
- Exploring Different Types of Sets
- Real-Life Applications
- Key Points Summary
- Subset
- Proper Subset
- Super Set
- Universal Set
- Complement of a Set
- De Morgan's Law
- Some Properties of Complement Sets
- Difference of Two Sets
- Distributive Laws
- Venn Diagrams
2: Ratio and Proportion
CISCE ICSE Class 8 Mathematics Syllabus
2.1 Percent and Percentage
2.2 Profit, Loss and Discount
- Overhead Expenses
- To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given
- To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
- Concept of Discount
2.3 Interest
- Calculation of Interest
- Introduction
- Important Terms
- Formula: Simple Interest
- Calculation of Interest
- Examples
- Concept of Compound Interest
- To Find the Principle (P); the Rate Percent (R) and the Time
- Interest Compounded Half Yearly
- Applications of Compound Interest Formula
2.4 Direct and Inverse Variations
- Types of Variation
- Definition: Direct Variation
- Definition: Inverse Variation
- Example 1
- Example 2
- Example 3
- Example 4
- 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
- Concept of Arrow Method
- Time and Work
- Unitary Method
- Sharing of the money for work
3: Algebra
CISCE ICSE Class 8 Mathematics Syllabus
3.1 Algebraic Expressions
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Degree of Polynomial
- Polynomial in one variable
- Polynomial in more than one variable
- Factors and Common Factors
- Definition: Factor
- Product and Factor
- Examples of Finding Factors of Numbers
- Properties of Factors
- Definition: Common Factor
- Activity
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Combining like Terms
- Multiplication of Algebraic Expressions
- Multiplying a Monomial by a Polynomial
- Multiplying a Polynomial by a Polynomial
- Division of Algebraic Expressions
- Simplification of Expressions
3.2 Identities
- Algebraic Identities
( a + b )2 = a2 + 2ab + b2 .
- Product of Sum and Difference of Two Terms
- Expansion Form of Numbers
- Important Formula of Expansion
- Cubes of Binomials
- Application of Formulae
3.3 Factorisation
- Factorisation by Taking Out Common Factors
- Factorisation by Grouping
- Factorisation by Difference of Two Squares
- Factorisation of Trinomials
- Factorising a Perfect Square Trinomial
- Factorising Completely
3.4 Linear Equations in One Variable
- Method of Solving a Linear Inequality
- Rules to solve inequation
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Equations Reducible to Linear Equations
3.5 Linear Inequations
- Pair of Linear Equations in Two Variables
- Replacement Set and Solution Set
- Operation of Whole Numbers on Number Line
- Concept of Properties
4: Geometry
CISCE ICSE Class 8 Mathematics Syllabus
4.1 Understanding Shapes
- Different Types of Curves - Closed Curve, Open Curve, Simple Curve.
- Basic Concept of Polygons
- Introduction
- Definition: Polygon
- Parts of a Polygon
- Classification of Polygons (Naming)
- Types of Polygons
- Real-LIfe Examples
- Key Points Summary
- Sum of Interior Angles of a Polygon
- Introduction
- Formula: Sum of Interior Angles
- Example
- Key Points Summary
- Sum of Exterior Angles of a Polygon
- Introduction
- Properties
- Example 1
- Example 2
- Key Points Summary
- Basic Concept of Regular Polygon
- Definition: Regular Polygon
- Formula: Sum of Interior Angles
- Formula: Each Interior Angle
- Formula: Each Exterior Angle
- Formula: Number of Sides
- Formula: Relationship between Interior and Exterior Angles
- Example 1
- Example 2
- Example 3
- Example 4
- Real-Life Applications
- Quadrilaterals
- Introduction
- Parts of a Quadrilateral
- Reading and Writing of a Quadrilateral
- Real-Life Examples
- Key Points Summary
4.2 Special Types of Quadrilaterals
4.3 Constructions
- Introduction of Constructions
- 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
- To Construct an Angle Equal to Given Angle
- To Draw the Bisector of a Given Angle
- Construction of Bisector of a Line
- Construction of Parallel Lines
- 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°
- The Perpendicular Bisector
- Definition: Perpendicular Bisector
- Properties
- Construction of the Perpendicular Bisector
- Activity: Understanding the Perpendicular Bisector
- Constructing a Quadrilateral
- To construct a quadrilateral, whose four sides and one angle are given.
- To construct a quadrilateral, whose three sides and two consecutive angles are given.
- To construct a quadrilateral, whose four sides and one diagonal are given.
- To construct a quadrilateral, whose three sides and two diagonals are given.
- To construct a quadrilateral if two adjacent sides and any three angle are given.
- Construction of Parallelograms
- Construction of a Rectangle When Its Length and Breadth Are Given.
- Construction of Rhombus
- Square: Properties and Construction
- Reflection Symmetry (Mirror Symmetry)
- Definition: Reflectional Symmetry
- Axis of Symmetry
- Examples
4.4 Representing 3-D in 2-D
- 2dimensional Perspective of 3dimensional Objects
- Draw 3D shapes from 2D Shapes
- Cube
- Cuboid
- Cylinder
- Sphere
- Cone
- Faces, Edges and Vertices of Polyhedron
- Introduction
- Faces, Edges, and Vertices
- Cuboid
- Cube
- Cylinder
- Sphere
- Cone
- Prism
- Triangular Pyramid
- Quadrilateral Pyramid
- Key Points Summary
- Euler's Formula
- Concept of Polyhedron
- Nets of 3D Figures
- Definition: Net
- Example
- Key Points Summary
5: Mensuration
CISCE ICSE Class 8 Mathematics Syllabus
5.1 Area of a Trapezium and a Polygon
- Perimeter of Triangle
- 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
- Area of Trapezium
- Area of a Parallelogram
- Area of a Rhombus
- Area of the rhombus if base and height are given.
- Area of the rhombus if the diagonals are given.
- Area of Circle
5.2 Surface Area, Volume and Capacity
- Surface Area of a Combination of Solids
- Surface Area of a Cube
- Mensuration of Cylinder
- Definition: Cylinder
- Properties of a Cylinder
- Activity 1
- Activity 2
- Surface Area of a Cuboid
6: Data Handling (Statistics)
CISCE ICSE Class 8 Mathematics Syllabus
6.1 Data Handling
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Frequency
- Raw Data, Arrayed Data and Frequency Distribution
- Cumulative Frequency and Cumulative Frequency Table
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table
- Grouped Frequency Distribution Table
- Class Intervals and Class Limits
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
6.2 Probability
