Chapter 1

Number Systems

Introduction

medium • 1 min read

Irrational Numbers

medium • 2 min read

Real Numbers and their Decimal Expansions

medium • 3 min read

Representing Real Numbers on the Number Line

medium • 4 min read

Operations on Real Numbers

medium • 5 min read

Laws of Exponents for Real Numbers

medium • 6 min read

Chapter 2

Polynomials

Introduction

medium • 1 min read

Polynomials in One Variable

medium • 2 min read

Zeroes of a Polynomial

medium • 3 min read

Remainder Theorem

medium • 4 min read

Factorisation of Polynomials

medium • 5 min read

Algebraic Identities

medium • 6 min read

Chapter 3

Coordinate Geometry

Introduction

medium • 1 min read

Cartesian System

medium • 2 min read

Plotting a Point in the Plane if its Coordinates are Given

medium • 3 min read

Chapter 4

Linear Equations in Two Variables

Introduction

medium • 1 min read

Linear Equations

medium • 2 min read

Solution of a Linear Equation

medium • 3 min read

Graph of a Linear Equation in Two Variables

medium • 4 min read

Equations of Lines Parallel to the x-axis and y-axis

medium • 5 min read

Chapter 5

Introduction to Euclid's Geometry

Introduction

medium • 1 min read

Euclid's Definitions, Axioms and Postulates

medium • 2 min read

Equivalent Versions of Euclid's Fifth Postulate

medium • 3 min read

Chapter 6

Lines and Angles

Introduction

medium • 1 min read

Basic Terms and Definitions

medium • 2 min read

Intersecting Lines and Non-intersecting Lines

medium • 3 min read

Pairs of Angles

medium • 4 min read

Parallel Lines and a Transversal

medium • 5 min read

Lines Parallel to the Same Line

medium • 6 min read

Angle Sum Property of a Triangle

medium • 7 min read

Chapter 7

Triangles

Introduction

medium • 1 min read

Congruence of Triangles

medium • 2 min read

Criteria for Congruence of Triangles

medium • 3 min read

Some Properties of a Triangle

medium • 4 min read

Some More Criteria for Congruence of Triangles

medium • 5 min read

Inequalities in a Triangle

medium • 6 min read

Chapter 8

Quadrilaterals

Introduction

medium • 1 min read

Angle Sum Property of a Quadrilateral

medium • 2 min read

Types of Quadrilaterals

medium • 3 min read

Properties of a Parallelogram

medium • 4 min read

Another Condition for a Quadrilateral to be a Parallelogram

medium • 5 min read

The Mid-point Theorem

medium • 6 min read

Chapter 9

Areas of Parallelograms and Triangles

Introduction

medium • 1 min read

Figures on the Same Base and Between the Same Parallels

medium • 2 min read

Parallelograms on the Same Base and Between the Same Parallels

medium • 3 min read

Triangles on the Same Base and Between the Same Parallels

medium • 4 min read

Chapter 10

Circles

Introduction

medium • 1 min read

Circles and Its Related Terms: A Review

medium • 2 min read

Angle Subtended by a Chord at a Point

medium • 3 min read

Perpendicular from the Centre to a Chord

medium • 4 min read

Circle through Three Points

medium • 5 min read

Equal Chords and their Distances from the Centre

medium • 6 min read

Angle Subtended by an Arc of a Circle

medium • 7 min read

Cyclic Quadrilaterals

medium • 8 min read

Chapter 11

Constructions

Introduction

medium • 1 min read

Basic Constructions

medium • 2 min read

Some Constructions of Triangles

medium • 3 min read

Chapter 12

Heron's Formula

Introduction

medium • 1 min read

Area of a Triangle - by Heron's Formula

medium • 2 min read

Application of Heron's Formula in Finding Areas of Quadrilaterals

medium • 3 min read

Chapter 13

Surface Areas and Volumes

Introduction

medium • 1 min read

Surface Area of a Cuboid and a Cube

medium • 2 min read

Surface Area of a Right Circular Cylinder

medium • 3 min read

Surface Area of a Right Circular Cone

medium • 4 min read

Surface Area of a Sphere

medium • 5 min read

Volume of a Cuboid

medium • 6 min read

Volume of a Cylinder

medium • 7 min read

Volume of a Right Circular Cone

medium • 8 min read

Volume of a Sphere

medium • 9 min read

Chapter 14

Statistics

Introduction

medium • 1 min read

Collection of Data

medium • 2 min read

Presentation of Data

medium • 3 min read

Graphical Representation of Data

medium • 4 min read

Measures of Central Tendency

medium • 5 min read

Chapter 15

Probability

Introduction

medium • 1 min read

Probability - an Experimental Approach

medium • 2 min read