Class 9 Maths: 24 Chapters | Free Study, Tests & IMO Practice

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Chapter 1

Number Systems

Review of Number Line Representation Rational Numbers as Recurring/Terminating Decimals Operations on Real Numbers Irrational Numbers and Their Representation Rationalization of Real Numbers Laws of Exponents for Real Numbers

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Chapter 2

Polynomials

Introduction to Polynomials Zeros of a Polynomial Remainder and Factor Theorems Algebraic Identities

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Chapter 3

Coordinate Geometry

Cartesian Plane and Plotting Points Distance Formula Section Formula

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Chapter 4

Linear Equations in Two Variables

Introduction to Linear Equations Graphical Representation Solutions of Linear Equations

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Chapter 5

Introduction to Euclid's Geometry

Euclid's Definitions and Axioms Euclid's Postulates Theorems from Euclid

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Chapter 6

Lines and Angles

Basic Angle Relationships Parallel Lines and Transversal Triangle Angle Properties

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Chapter 7

Triangles

Congruence of Triangles Criteria for Congruence Properties of Triangles

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Chapter 8

Quadrilaterals

Properties of Quadrilaterals Types of Quadrilaterals Parallelogram Theorems

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Chapter 9

Areas of Parallelograms and Triangles

Area of Parallelogram Area of Triangle Figures on Same Base and Between Same Parallels

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Chapter 10

Circles

Circle and Its Properties Theorems on Chords Angle Subtended by Arc

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Chapter 12

Heron's Formula

Heron's Formula for Triangle Area Application to Quadrilaterals

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Chapter 13

Surface Areas and Volumes

Surface Area of Solids Volume of Solids Application Problems

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Chapter 14

Statistics

Collection and Presentation of Data Measures of Central Tendency Frequency Distribution

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Chapter 15

Probability

Basic Probability Concepts Experimental Probability Theoretical Probability

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Chapter 16

Compound Interest

Simple vs Compound Interest Compound Interest Formula Applications of CI

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Chapter 17

Expansions

Algebraic Identities Expanding Expressions Applications of Expansions

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Chapter 18

Factorisation

Methods of Factorisation Factor Theorem Applications Factorising Cubics

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Chapter 19

Simultaneous Linear Equations

Methods of Solving Simultaneous Equations Substitution Method Elimination Method

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Chapter 20

Indices (Exponents)

Laws of Indices Negative and Fractional Indices Applications

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Chapter 21

Logarithms

Introduction to Logarithms Laws of Logarithms Solving Logarithmic Equations

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Chapter 22

Mid-point Theorem

Mid-point Theorem Intercept Theorem Applications

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Chapter 23

Pythagoras Theorem

Pythagoras Theorem Converse of Pythagoras Theorem Applications

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Chapter 24

Mensuration (Areas and Volumes)

Perimeter and Area of Plane Figures Surface Area of 3D Shapes Volume Calculations

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Chapter 25

Trigonometry

Trigonometric Ratios Trigonometric Identities Heights and Distances Trigonometric Tables

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