Tamil Nadu Board of Secondary Education Class 8 Mathematics Syllabus - Free PDF Download
Tamil Nadu Board of Secondary Education Syllabus 2026-27 Class 8: The Tamil Nadu Board of Secondary Education Class 8 Mathematics Syllabus for the examination year 2026-27 has been released by the Tamil Nadu Board, Tamil Nadu Board of Secondary Education. 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 Tamil Nadu Board of Secondary Education Class 8 Mathematics Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Tamil Nadu Board of Secondary Education syllabus to prepare for their annual exam properly.
The detailed Tamil Nadu Board of Secondary Education Class 8 Mathematics Syllabus for 2026-27 is below.
Academic year:
Tamil Nadu Board of Secondary Education Class 8 Mathematics Revised Syllabus
Tamil Nadu Board of Secondary Education Class 8 Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Numbers | |
| 2 | Measurements | |
| 3 | Algebra | |
| 4 | Life Mathematics | |
| 5 | Geometry | |
| 6 | Statistics | |
| 7 | Information Processing | |
| Total | - |
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Syllabus
1 Numbers
- 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
- Integers
- Definition: Integers
- Introduction to Integers and Their Representation
- Understanding the Collection of Integers through Sets
- Real-Life Application
- Key Points Summary
- Rational Numbers
- Rational Numbers on a Number Line
- Decimal Representation of Rational Numbers
- Positive and Negative Rational Numbers
- Equivalent Rational Number
- Rational Numbers in Standard Form
- Comparison of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Addition of Rational Number
- Additive Inverse of Rational Number
- Subtraction of Rational Number
- Concept of Reciprocals or Multiplicative Inverses
- Division of Rational Numbers
- Word Problems on Rational Numbers (All Operations)
- Properties of Rational Numbers
- Concept of Square Number
- Properties of Square Numbers
- Concept of Square Roots
- Finding square roots
- Finding Square Root Through Prime Factorisation
- Finding Square Root by Division Method
- Finding the Square Root of a Perfect Square
- Square Root of Decimal Numbers
- Square Root of Product and Quotient of Numbers
- Estimating Square Root
- Concept of Cube Number
- Properties of Cubes of Numbers
- Concept of Cube Root
- Cube Root Through Prime Factorisation Method
- Concept of Exponents
- Laws of Exponents
- Expanded Form of Numbers Using Exponents
- Crores
- Introducing crores
- A standard form of large numbers
2 Measurements
- Measurements
- Measurement
- The need for measurement in daily life
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Central Angle and the Measure of an Arc
- Length of an Arc
- Area of a Sector
- Perimeter of a Sector
- Perimeter and Area of Combined Shapes
- Impact on Removing / Adding a portion from / to a given shape
- Three Dimensional 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
- Drawing Solids on a Flat Surface - Isometric Sketches
- Cross Section of Solid Shapes
- Volume = Area of cross - section x length
- Surface area ( excluding cross - section ) = Perimeter of cross - section x length
- Viewing Different Sections of a Solid
- Sector of a Circle
- Introduction
- Types of Sectors
- The Quadrant
- Key Points Summary
- Segment of a Circle
- Introduction
- Types of Segments
- Key Points Summary
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
3 Algebra
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
- Terms, Factors and Coefficients of Expression
- Classification of Terms in Algebra
- Introduction
- Parts of an Algebraic Expression
- Definition: Like Terms
- Definition: Unlike Terms
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Introduction
- Multiplying Algebraic Expressions
- Examples: Monomial × Monomial
- Examples: Monomial × Polynomial
- Examples: Binomial × Binomial
- Key Points Summary
- Division of Algebraic Expressions
- Introduction
- Dividing Algebraic Expressions
- Fundamental Rule
- Example: Monomial × Monomial
- Example: Polynomial × Monomial
- Key Points Summary
- Concept of Identity
- Expansion of (a + b)2 = a2 + 2ab + b2
- Expansion of (a - b)2 = a2 - 2ab + b2
- Expansion of (a + b)(a - b) = a2-b2
- Expansion of (x + a)(x + b)
- Expansion of (a + b)3
- Expansion of (a - b)3
- Expansion of (x + a)(x + b)(x + c)
- Factorising Algebraic Expressions
- Factorisation by Taking Out Common Factors
- Factorisation by Taking Out the Common Binomial Factor from Each Term
- Factorisation by Regrouping Terms
- Factorisation Using Identities
- Factors of the Form (x + a)(x + b)
- Factorise Using the Identity (a + b)3
- Factorise Using the Identity (a – b)3
- Concept of Find the Error
- 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
- Concept of Graph
- Definition: Graph
- Graph Paper
- X-axis and Y-axis
- Use of Scale
- Cartesian Coordinate System
- Co-ordinate Geometry
- Co-ordinate Axes
- Coordinates of a Point
- Important Results
- Quadrants and Sign Convention
- Plotting a Point in the Plane If Its Coordinates Are Given.
- Geometrical Representation of a Linear Equation by Plotting a Straight Line
- Geometrical Representation of a Linear Equation by Line Parallel to the Coordinate Axes
- Linear Pattern
- Graphical Method with Different Cases of Solution
4 Life Mathematics
- Basic Concepts of Profit and Loss
- Concept of Compound Interest
- Difference Between Compound Interest and Simple Interest
- Compound Variation
- Proportion Method
- Multiplicative Factor Method
- Formula Method
- Concept of Direct Proportion
- Concept of Inverse Proportion
- Time and Work
- Unitary Method
- Sharing of the money for work
5 Geometry
- Similarity and Congruency of Figures
- Definition: Similarity of Figures
- Examples
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Criteria for Similarity of Triangles
- Similarity of Triangles (Corresponding Sides & Angles)
- Corresponding Sides
- Corresponding Angles
- Right-angled Triangles and Pythagoras Property
- Converse of Pythagoras Theorem
In a triangle if the square of one side is equal to the sum of the squares of the remaining two sides, then the triangle is a right angled triangle.
- Point of Concurrency
- 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
- Perpendicular Bisectors of a Triangle
- Circumcircle of a Triangle
- Introduction
- Definition: Circumcircle
- Definition: Circumcenter
- Definition: Circumradius
- Step-by-Step Construction
- Position of Circumcenter in Different Triangles
- Key Points Summary
- The Property of the Angle Bisectors of a Triangle
- Constructing a Quadrilateral
- Construct a Quadrilateral When Its Four Sides and One Angle Are Given.
- Constructing a trapezium when its three sides and one diagonal are given
- Constructing a Trapezium When Its Three Sides and One Angle Are Given
- Constructing a Trapezium When Its Two Sides and Two Angles Are Given.
- Constructing a Trapezium When Its Four Sides Are Given.
- Constructing a Parallelogram When Its Two Adjacent Sides and One Angle Are Given.
- Constructing a Parallelogram When Its Two Adjacent Sides and One Diagonal Are Given.
- Constructing a Parallelogram When Its Two Diagonals and One Included Angle Are Given.
- Constructing a Parallelogram When Its One Side, One Diagonal and One Angle Are Given.
- Construction of a Rhombus When One Side and One Diagonal Are Given.
- Construction of a Rhombus When One Side and One Angle Are Given.
- Construction of a Rhombus When Two Diagonals Are Given.
- Construction of a Rhombus When One Diagonal and One Angle Are Given.
- Construction of a Rectangle When Its Length and Breadth Are Given.
- Construction of a Rectangle When a Side and a Diagonal Are Given.
- Construction of a Square When Its Side is Given.
- Construction of a Square When Its Diagonal is Given.
6 Statistics
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table
- Grouped Frequency Distribution Table
- Pie Diagram
- Histograms
- Frequency Polygon
7 Information Processing
- Information Processing
- Principles of Counting
- Addition principle
- Multiplication principle
- SET - Game
- Map Colouring
- Fibonacci Numbers
- Highest Common Factor (HCF)
- Definition: HCF
- Steps to Find HCF
- Example 1
- Example 2
- Key Points Summary
- Prime Factorisation
- Definition: Prime Factor
- Examples
- Prime Factorisation of a Product
- Applications of Prime Factorisation: Checking Co-primeness
- Applications of Prime Factorization: Checking Divisibility
- Factorisation by Taking Out Common Factors
- Repeated Division Method of HCF
- Repeated Subtraction Method
- Cryptology
- Cryptology – Some technical details
- Examples of Cipher Code
- Shopping Comparison
- Comparing containers of diff erent size.
- Packing
