Table of Contents

Chapter 1 Real Numbers
 Classification of Real Numbers

Decimal Fractions

Chapter 2 Sets and Functions
 Sets
 Relations
 Functions

Chapter 3 Algebraic Expressions
 Algebraic Expressions
 Algebraic Formulae
 Formulae of Cubes
 Resolution into Factors
 Remainder Theorem
 Forming and Applying Algebraic Formulae in Solving Real Life Problems

Chapter 4 Exponents and Logarithms
 Exponents or Indices
 𝑛th Root of 𝑎
 Logarithms
 Scientific or Standard Form of Numbers
 Logarithmic Methods
 Characteristics of Common Log
 Mantissa of Common Log

Chapter 5 Equations in One Variable
 Variable
 Equation and Identity
 Solving Linear Equations
 Usage of Linear Equations
 Quadratic Equations in One Variable
 Usage of Quadratic Equations

Chapter 6 Lines, Angles and Triangles
 Concepts of Space, Plane, Line and Point
 Euclid’s Axioms and Postulates
 Plane Geometry
 Proof of Mathematical Statements
 Geometrical Proof
 Line, Ray, Line Segment
 Angle
 Parallel Lines
 Triangle

Chapter 7 Practical Geometry
 Construction of Triangles
 Construction of Quadrilaterals

Chapter 8 Circle
 Circle
 The Arc of a Circle
 Quadrilateral Inscribed in a Circle (Inscribed Quadrilaterals)
 Secant and Tangent of the Circle
 Constructions Related to Circles

Chapter 9 Trigonometric Ratio
 Trigonometric Ratios of an Acute Angle
 Trigonometric Ratios of the Angles
 Chapter 10 Distance and Elevation

Chapter 11 Algebraic Ratio and Proportion
 Ratio and Proportion
 Continued Ratio

Chapter 12 Simple Simultaneous Equations in Two Variables
 Simple Simultaneous Equations
 Solution of Simple Simultaneous Equations
 Solving Using Graphical Method
 Formation of Simultaneous Equations From Real Life Problems and Solution

Chapter 13 Finite Series
 Arithmetic Series
 Formulas of Series
 Geometric Series

Chapter 14 Ratio, Similarity and Symmetry
 Properties of Ratio and Proportion
 Similarity
 Symmetry
 Chapter 15 Area Related Theorems and Constructions

Chapter 16 Mensuration
 Area of Triangular Region
 Area of Quadrilateral Region
 Measurement Regarding Circle
 Solids
 Chapter 17 Statistics