Chapter 1

Rational and Irrational Numbers

Rational numbers properties

medium • 1 min read

Irrational numbers concept

medium • 2 min read

Representation on number line

medium • 3 min read

Surds and their properties

medium • 4 min read

Rationalization of denominator

medium • 5 min read

Chapter 2

Compound Interest

Review of Simple Interest

medium • 1 min read

Compound Interest without formula

medium • 2 min read

Compound Interest using formula

medium • 3 min read

Growth and Depreciation

medium • 4 min read

Population growth problems

medium • 5 min read

Chapter 3

Expansions

Expansion of (a±b)^2

medium • 1 min read

Expansion of (a±b)^3

medium • 2 min read

Expansion of (a+b+c)^2

medium • 3 min read

Finding value of algebraic expressions

medium • 4 min read

Application of identities

medium • 5 min read

Chapter 4

Factorisation

Taking out common factors

medium • 1 min read

Grouping of terms

medium • 2 min read

Difference of two squares

medium • 3 min read

Sum or difference of two cubes

medium • 4 min read

Splitting the middle term

medium • 5 min read

Chapter 5

Simultaneous Linear Equations

Method of Substitution

medium • 1 min read

Method of Elimination

medium • 2 min read

Method of Cross Multiplication

medium • 3 min read

Equations reducible to linear form

medium • 4 min read

Word problems

medium • 5 min read

Chapter 6

Indices

Laws of Indices

medium • 1 min read

Zero exponent and negative integral exponents

medium • 2 min read

Fractional exponents

medium • 3 min read

Solving equations involving indices

medium • 4 min read

Simplification of expressions

medium • 5 min read

Chapter 7

Logarithms

Concept of Logarithm

medium • 1 min read

Laws of Logarithms

medium • 2 min read

Interconversion of logarithmic and exponential forms

medium • 3 min read

Common Logarithms

medium • 4 min read

Solving equations using logarithms

medium • 5 min read

Chapter 8

Triangles

Congruency conditions (SSS, SAS, ASA, RHS)

medium • 1 min read

Properties of Isosceles triangles

medium • 2 min read

Inequalities in triangles

medium • 3 min read

Mid-point Theorem

medium • 4 min read

Converse of Mid-point Theorem

medium • 5 min read

Chapter 9

Pythagoras Theorem

Statement and proof of Pythagoras Theorem

medium • 1 min read

Converse of Pythagoras Theorem

medium • 2 min read

Applications in 2D figures

medium • 3 min read

Finding length of diagonal

medium • 4 min read

Word problems

medium • 5 min read

Chapter 10

Rectilinear Figures

Properties of quadrilaterals

medium • 1 min read

Parallelogram properties

medium • 2 min read

Rhombus, Rectangle, Square

medium • 3 min read

Trapezium and Kite

medium • 4 min read

Condition for a quadrilateral to be a parallelogram

medium • 5 min read

Chapter 11

Theorems on Area

Figures on the same base and between same parallels

medium • 1 min read

Area of parallelograms

medium • 2 min read

Area of triangles

medium • 3 min read

Proof of area theorems

medium • 4 min read

Applications of area theorems

medium • 5 min read

Chapter 12

Circle

Terms related to circle

medium • 1 min read

Properties of chords

medium • 2 min read

Perpendicular from centre to chord

medium • 3 min read

Equal chords and their distance from centre

medium • 4 min read

Angles subtended by arcs

medium • 5 min read

Chapter 13

Statistics

Collection and presentation of data

medium • 1 min read

Frequency distribution tables

medium • 2 min read

Mean of ungrouped data

medium • 3 min read

Median of ungrouped data

medium • 4 min read

Graphical representation (Histogram, Frequency Polygon)

medium • 5 min read

Chapter 14

Mensuration

Area and perimeter of Triangles

medium • 1 min read

Heron's Formula

medium • 2 min read

Area and perimeter of Quadrilaterals

medium • 3 min read

Area and circumference of Circle

medium • 4 min read

Surface area and Volume of Cube and Cuboid

medium • 5 min read

Chapter 15

Trigonometry

Trigonometric Ratios (sin, cos, tan)

medium • 1 min read

Reciprocal ratios

medium • 2 min read

Trigonometric ratios of standard angles (0, 30, 45, 60, 90)

medium • 3 min read

Simple 2D problems using Right Angled Triangle

medium • 4 min read

Relation between trigonometric ratios

medium • 5 min read

Chapter 16

Coordinate Geometry

Cartesian Plane system

medium • 1 min read

Plotting of points

medium • 2 min read

Distance formula concept

medium • 3 min read

Graphical solution of linear equations

medium • 4 min read

Determining equation of a line

medium • 5 min read

Chapter 17

Probability

Concept of Probability

medium • 1 min read

Random experiments

medium • 2 min read

Sample space

medium • 3 min read

Event

medium • 4 min read

Probability of an event

medium • 5 min read

Chapter 18

Graphic Solutions

Solution of simultaneous linear equations graphically

medium • 1 min read

Distance-time graphs

medium • 2 min read

Velocity-time graphs

medium • 3 min read

Reading and interpreting graphs

medium • 4 min read

Applications

medium • 5 min read