Ch 0: Some Preliminaries

The Prerequisites: Introduction
How To 'add' Numbers
How To 'subtract' Numbers
How To 'multiply' Numbers
Multiplying By 10, 100, 1000, ...
How To 'divide' Numbers
The Division Algorithm
Multiple Of Divisor Nearest To The Dividend
Divisibility Tests Of Numbers
How To Do 'cancellations' In Division
The 'vbodmas' Rule
Problem Session: On 'vbodmas'

Ch 1: The Basics: Number, Numeral And Numeration

'number' Vs 'numeral' Vs 'numeration'
Numbers
Numerals
Roman Numeral System: Introduction
Roman Numeral System: Rule 1
Roman Numeral System: Rule 2
Roman Numeral System: Rule 3
Roman Numeral System: Rule 4
Roman Numeral System: All 4 Rules
Problem Session: On 4 Rules
Roman Numeral System - 1 To 1000
Roman Numeral System - 1001 To 3999
Problem Session: Hindu-Arabic To Roman
Roman Numeral System: Roman To Hindu-Arabic
Problem Session: Roman To Hindu-Arabic
Roman Numeral System - Beyond 3999
Roman Numeral System: Demerits
Hindu-Arabic Numeral System
Numeration
International System Of Numeration
Problem Session: International System Of Numeration
Indian System Of Numeration
Problem Session: Indian System Of Numeration
International Numeration And Indian Numeration
Conversion Problems
Difference Between International Numeration And Indian Numeration

Ch 1: The Basics: 'face Value' And 'place Value'

Face Value And Place Value
Difference Between 'face Value' And 'place Value'
Problem Session: 1
Problem Session: 2
Problem Session: 3

Ch 1: The Basics: 'expanded Form' Of A Number

Expanded Form Of A Number: Introduction
Problem Session: Writing Expanded Form
Problem Session: Writing Number From Expanded Form

Ch 1: The Basics: Comparing Numbers

Comparing 2 Numbers: Introduction
Comparing 2 Numbers: Rule 1
Problem Session: Rule 1
Comparing 2 Numbers: Rule 2
Problem Session: Rule 2
Comparing 2 Numbers: Rule 3
Problem Session: Rule 3
Comparing 2 Numbers: Rule 4
Problem Session: Rule 4
Ascending Order (Increasing Order)
Descending Order (Decreasing Order)
Difference: Ascending Order Vs Descending Order
Comparing More Than 2 Numbers: Rules
Comparing More Than 2 Numbers: Example 1
Comparing More Than 2 Numbers: Example 2
Comparing More Than 2 Numbers: Example 3
Problem Session: Ascending Order And Descending Order
Problem Session: Finding The Smallest Number
Problem Session: Finding The Largest Number

Ch 1: The Basics: Formation Of Numbers

Formation Of Numbers - 1
Formation Of Numbers - 2
Formation Of Numbers - 3
Formation Of Numbers - 4
Problem Session - 1
Problem Session - 2
Problem Session - 3
Problem Session - 4
Formation Of Numbers - 5
Formation Of Numbers - 6
Problem Session - 5
Problem Session - 6
Problem Session - 7
Problem Session - 8
Problem Session - 9
Problem Session - 10

Ch 1: The Basics: Forming The Greatest And The Smallest Number

Forming The Greatest And The Smallest Numbers With The Given Digits
Problem Session - 1
Problem Session - 2

Ch 1: The Basics: The Smallest And The Greatest Numbers Of N-Digits

The Smallest And The Greatest Numbers Of N-Digits
Problem Session - 1
Problem Session - 2
Some Patterns

Ch 1: The Basics: Rounding Off

Rounding Off - Introduction
Rule - Rounding Off To Nearest Tens
Examples - Rounding Off To Nearest Tens
Problem Session - Rounding Off To Nearest Tens
Rule - Rounding Off To Nearest Hundreds
Examples - Rounding Off To Nearest Hundreds
Problem Session - Rounding Off To Nearest Hundreds
Rule - Rounding Off To Nearest Thousands
Examples - Rounding Off To Nearest Thousands
Problem Session - Rounding Off To Nearest Thousands
Problem Session - Rounding Off
Rounding Off To Nearest Ten-Thousands And Further

Ch 1: The Basics: Estimation

Estimation - Introduction
Understanding Estimation - Example
Understanding Estimation - Examples
Uderstanding Estimation - Examples
Estimation - Theoritical Points
Understanding Estimation - Example
Understanding Estimation - Example
General Rule Of Estimation
Problem Session - 1
Problem Session - 2
Problem Session - 3
'estimation In Lower Places' Vs 'estimation In Higher Places'

Ch 2: Factors And Multiples

What Is A 'product'
What Is A 'factor'
What Is A 'multiple'
Properties Of 'factors'
Properties Of 'multiples'
How To Find 'factors'
Problem Session - Finding 'factors'
How To Find 'multiples'
Problem Session - Finding 'multiples'
What Are 'common Factors'
Problem Session - Finding 'common Factors'
What Are 'common Multiples'
Problem Session - Finding 'common Multiples'
Insight On 'prime Numbers' And 'composite Numbers'
What Are 'prime Numbers'
What Are 'composite Numbers'
Which Number Is 'neither Prime Nor Composite'
Which Number Is 'both Prime And Composite'
What Is 'sieve Of Eratosthenes'
Steps To Write 'sieve Of Eratosthenes'
Problem Session - Based On 'sieve Of Eratosthenes'
Problem Session - Testing Primality Of A Number Between 1 And 100
Properties Of Prime Numbers
Problem Session - Properties Of Prime Numbers
Test Of Prime
Problem Session - Test Of Prime
Problem Session - Test Of Prime
Proof Of 'primality Test For Numbers Upto 100'
Problem Session - Test Of Prime
Problem Session - Test Of Prime
What Is 'factorisation'
What Is 'prime Factorisation'
'factorisation' Vs 'prime Factorisation'
Fundamental Theorem Of Arithmetic
How To Find 'prime Factorisation'
Problem Session - Finding Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Problem Session - Prime Factorisation
Importance Of 'prime Factors' And 'prime Factorisation'
What Is 'hcf'
Different Names Of Hcf
Hcf Of Two Numbers - Method 1
Hcf Of Two Numbers - Method 2
Hcf Of Two Numbers - Method 3
Hcf Of Two Numbers - Method 4
Hcf Of Two Numbers - Method 5
Hcf Of Two Numbers - Method 6
Hcf Of Two Numbers - Method 7
Hcf Of Two Numbers - Method 8
Hcf Of Two Numbers - All 8 Methods
Hcf Of More Than Two Numbers - Method 1
Hcf Of More Than Two Numbers - Method 2
Hcf Of More Than Two Numbers - Method 3
Hcf Of More Than Two Numbers - Method 4
Hcf Of More Than Two Numbers - Method 5
Hcf Of More Than Two Numbers - Method 6
Hcf Of More Than Two Numbers - Method 7
Problem Session - Finding Hcf
What Is 'lcm'
Lcm Of Two Numbers - Method 1
Lcm Of Two Numbers - Method 2
Lcm Of Two Numbers - Method 3
Lcm Of Two Numbers - Method 4
Lcm Of Two Numbers - Method 5
Lcm Of Two Numbers - Method 6
Lcm Of Two Numbers - Method 7
Lcm Of Two Numbers - All 6 Methods
Lcm Of More Than Two Numbers - Method 1
Lcm Of More Than Two Numbers - Method 2
Lcm Of More Than Two Numbers - Method 3
Lcm Of More Than Two Numbers - Method 4
Lcm Of More Than Two Numbers - Method 5
Lcm Of More Than Two Numbers - Method 6
Problem Session - Finding Lcm
Problem Session - Hcf Vs Lcm
What Are 'coprime Numbers'
What Are 'twin-Primes'
What Is A 'perfect Number'
What Is A 'prime-Triplet'
What Are 'even Numbers' And 'odd Numbers'
Properties Of Hcf And Lcm
Problem Session - Properties Of Hcf And Lcm
Relation Between Hcf, Lcm And Product Of Two Numbers
Problem Session - Relation Between Hcf, Lcm And Product Of Two Numbers
Hcf Word Problems - Introduction
Problem Session - Word Problems On Hcf
Problem Session - Word Problems On Hcf
Problem Session - Word Problems On Hcf
Lcm Word Problems - Introduction
Problem Session - Word Problems On Lcm
Problem Session - Word Problems On Lcm
Problem Session - Word Problems On Lcm
Problem Session - Problems On Hcf And Lcm
Problem Session - Problems On Hcf And Lcm
Problem Session - Problems On Hcf And Lcm
Problem Session - Word Problems On Hcf And Lcm
Problem Session - Word Problems On Hcf And Lcm
Problem Session - Word Problems On Hcf And Lcm

Ch 3: Rules Of Divisibility

First Rule Of Divisibility
Problem Session
Second Rule Of Divisibility
Problem Session
Third Rule Of Divisibility
Problem Session
Problem Session
Problem Session
Fourth Rule Of Divisibility

Ch 4: Divisibility Tests (With Proofs)

What Is 'divisibility Test'
Division By 0
Divisibility Test Of 1
Divisibility Test Of 2
Problem Session - Divisibility Test Of 2
Proof Of 'divisibility Test Of 2'
Divisibility Test Of 3
Problem Session - Divisibility Test Of 3
Proof Of 'divisibility Test Of 3'
Divisibility Test Of 4
Problem Session - Divisibility Test Of 4
Proof Of 'divisibility Test Of 4'
Divisibility Test Of 5
Problem Session - Divisibility Test Of 5
Proof Of 'divisibility Test Of 5'
Divisibility Test Of 6
Problem Session - Divisibility Test Of 6
Proof Of 'divisibility Test Of 6'
Divisibility Test Of 7
Problem Session - Divisibility Test Of 7
Proof Of 'divisibility Test Of 7'
Divisibility Test Of 8
Problem Session - Divisibility Test Of 8
Proof Of 'divisibility Test Of 8'
Divisibility Test Of 9
Problem Session - Divisibility Test Of 9
Proof Of 'divisibility Test Of 9'
Divisibility Test Of 10
Problem Session - Divisibility Test Of 10
Proof Of 'divisibility Test Of 10'
Divisibility Test Of 11
Problem Session - Divisibility Test Of 11
Proof Of 'divisibility Test Of 11'
Divisibility Test Of 12
Proof Of 'divisibility Test Of 12'
Divisibility Test Of 13
Proof Of 'divisibility Test Of 13'
Divisibility Test Of 14
Proof Of 'divisibility Test Of 14'
Divisibility Test Of 15
Proof Of 'divisibility Test Of 15'
Coprime Factors Test
Revision Of Divisibility Tests Of Natural Numbers Upto 15
Problem Session - Divisibility Tests Upto 15

Ch 5: Number System: The Various Number Systems

Number System - Introduction
Natural Numbers
Problem Session - Natural Numbers
Whole Numbers - Part 1
Whole Numbers - Part 2
Problem Session - Whole Numbers
Integers - Part 1
Integers - Part 2
Problem Session - Integers
Problem Session - Integers
Problem Session - Integers On Number Line
Fractions - Part 1
Fractions - Part 2
Fractions - Part 3
Fractions - Part 4
Fractions - Part 5
Fractions - Part 6
Fractions - Part 7
Fractions - Part 8
Fractions - Part 9
Problem Session - Fractions
Problem Session - Fractions
Problem Session - Fractions (Shading)
Problem Session - Fractions (Shading) 2
Problem Session - Fractions (Proper, Improper, Mixed)
Problem Session - Fractions (Simplest Form)
Problem Session - Fractions (Equivalent Fractions)
Problem Session - Fractions (Like And Unlike)
Problem Session - Fractions (Plotting)
Problem Session - Fractions (Word Problems)
Rational Numbers - Part 1
Rational Numbers - Part 2
Rational Numbers - Part 3
Rational Numbers - Part 4
Rational Numbers - Part 5
Rational Numbers - Part 6
Rational Numbers - Part 7
Rational Numbers - Part 8
Rational Numbers - Part 9
Rational Numbers - Part 10
Rational Numbers - Part 11
Rational Numbers - Part 12
Rational Numbers - Part 13
Rational Numbers - Part 14
Rational Numbers - Part 15
Rational Numbers - Part 16
Rational Numbers - Part 17
Rational Numbers - Part 18
Rational Numbers - Part 19
Rational Numbers - Part 20
Problem Session - Rational Numbers
Problem Session - Rational Numbers 1
Problem Session - Rational Numbers 2
Problem Session - Rational Numbers 3
Problem Session - Rational Numbers 4
Recap Of Number Systems - Part 1
Recap Of Number Systems - Part 2
God Made Integers, Rest Are Man-Made

Ch 5:Number System: Comparison And Ordering Of Numbers Of Various Number Systems

Comparison And Ordering Of Numbers - Introduction
Comparison Of Natural Numbers - Introduction
Comparison Of Natural Numbers - Method 1
Comparison Of Natural Numbers - Method 2
Comparison Of Natural Numbers - Method 3
Comparison Of Natural Numbers - All 3 Methods
Ordering Of Natural Numbers
Comparison Of Whole Numbers - Introduction
Comparison Of Whole Numbers - Method 1
Comparison Of Whole Numbers - Method 2
Comparison Of Whole Numbers - Method 3
Comparison Of Whole Numbers - All 3 Methods
Ordering Of Whole Numbers
Comparison Of Integers - Introduction
Absolute Value Or Modulus Of An Integer
Problem Session - Plotting Integers
Comparison Of Integers - Method 1
Comparison Of Integers - Method 2
Comparison Of Integers - Method 3
Comparison Of Integers - All 3 Methods
Ordering Of Integers
Problem Session - Comparison Of Integers
Problem Session - Comparison Of Integers
Comparison Of Fractions - Introduction
Comparison Of Fractions - Method 1
Comparison Of Fractions - Method 2
Comparison Of Fractions - Method 3
Comparison Of Fractions - Method 4
Comparison Of Fractions (Mixed Fractions) - Method 5
Comparison Of Fractions - Method 6
Comparison Of Fractions - Method 7
Comparison Of Fractions - Method 8
Comparison Of Fractions - All 8 Methods
Ordering Of Fractions
Problem Session - Comparison Of Fractions
Comparison Of Rational Numbers - Introduction
Comparison Of Rational Numbers - Method 1
Comparison Of Rational Numbers - Method 2
Comparison Of Rational Numbers - Method 3
Comparison Of Rational Numbers - All 7 Methods
Ordering Of Rational Numbers
Problem Session - Comparison Of Rational Numbers

Ch 5: Number System: Fundamental Operations On Numbers Of Various Number Systems

Fundamental Operations On Numbers - Introduction
How To Add, Subtract, Multiply And Divide Two Natural Numbers
Operations On Natural Numbers Through Number Line
How To Add, Subtract, Multiply And Divide Two Whole Numbers
Operations On Whole Numbers Through Number Line
Absolute Value Of An Integer
How To Add Two Integers
How To Add Two Or More Integers
Problem Session - Addition Of Integers
How To Multiply Two Integers
How To Multiply Two Or More Integers
Important Points In Multiplication Of Integers
Problem Session - Multiplication Of Integers
Problem Session - Additive Inverse Of Integers
How To Subtract Two Integers
A Useful Tip In Addition And Subtraction Of Two Integers
Easier Ways Of Subtracting Integers
How To Subtract Two Or More Integers
Problem Session - Subtraction Of Integers
Problem Session - Addition And Subtraction Of Integers
Problem Session - Successor And Predecessor Of Integers
How To Divide Two Integers
How To Divide Two Or More Integers
Problem Session - Division Of Integers
Problem Session - Simplification Of Integers
How To Add Two Fractions
How To Add Two Or More Fractions
Problem Session - Addition Of Fractions
How To Subtract Two Fractions
How To Subtract Two Or More Fractions
Problem Session - Subtraction Of Fractions
How To Multiply Two Fractions
How To Multiply Two Or More Fractions
Problem Session - Multiplication Of Fractions
How To Divide Two Fractions
How To Divide Two Fractions - An Important Point
How To Divide Two Or More Fractions
Problem Session - Division Of Fractions
All Operations On Two Fractions
Problem Session - Simplification Of Fractions
How To Add Two Rational Numbers
How To Add Two Or More Rational Numbers
Problem Session - Addition Of Rational Numbers
How To Subtract Two Rational Numbers
How To Subtract Two Or More Rational Numbers
Problem Session - Subtraction Of Rational Numbers
How To Multiply Two Rational Numbers
How To Multiply Two Or More Rational Numbers
Problem Session - Multiplication Of Rational Numbers
How To Divide Two Rational Numbers
How To Divide Two Or More Rational Numbers
Problem Session - Division Of Rational Numbers
All Operations On Two Rational Numbers

Ch 5: Number System: Properties Of Numbers Of Various Number Systems

Closure Property - Introduction
Closure Property For Natural Numbers
Closure Property For Whole Numbers
Closure Property For Integers
Closure Property For Fractions
Closure Property For Rational Numbers
Summary Of Closure Property
Commutative Property - Introduction
Commutative Property For Natural Numbers
Commutative Property For Whole Numbers
Commutative Property For Integers
Commutative Property For Fractions
Commutative Property For Rational Numbers
Summary Of Commutative Property
Associative Property - Introduction
Associative Property For Natural Numbers
Associative Property For Whole Numbers
Associative Property For Integers
Associative Property For Fractions
Associative Property For Rational Numbers
Summary Of Associative Property
Distributive Property - Introduction
Distributive Property For Natural Numbers
Distributive Property For Whole Numbers
Distributive Property For Integers
Distributive Property For Fractions
Distributive Property For Rational Numbers
Summary Of Distributive Property
Why Do We Multiply The Way We Multiply
Additive Identity And Multiplicative Identity - Introduction
Additive Identity And Multiplicative Identity For Natural Numbers
Additive Identity And Multiplicative Identity For Whole Number
Additive Identity And Multiplicative Identity For Integers
Additive Identity And Multiplicative Identity For Fractions
Additive Identity And Multiplicative Identity For Rational Numbers
Summary Of Additive Identity And Multiplicative Identity
Multiplication And Division By Zero (0)

Ch 6: Decimal Numbers

Revision Of 'integers'
Integral Powers Of 10
Understanding Numbers
'place Values' And 'place Value Table'
'place Value Table' And 'integral Powers Of 10'
Extension Of 'place Value Table' Towards Right Of Ones Place
Expansion Of Numbers Written In Place Value Table
Obtaining A Number Written In Place Value Table
Introducing The 'decimal Point'
Obtaining A Number Written In Place Value Table
Problem Session - Obaining Number And Its Expansion From Table
Problem Session - Expansion Of Decimal Numbers
Problem Session - Writing Decimal Numbers In Place Value Table
How To Read Decimal Numbers
Problem Session - Decimal Numbers In Words
What Are 'decimal Fractions'
How To Convert 'decimal Fractions' To 'decimal Numbers'
Problem Session - Expressing Decimal Fractions As Decimal Numbers
How To Convert 'decimal Numbers' To 'decimal Fractions'
Problem Session - Expressing Decimal Numbers As Decimal Fractions
Problem Session - Expressing Decimal Numbers As Mixed Fractions
Some Important Points About The 'decimal Point'
How To Convert 'certain Fractions' To 'decimal Numbers'
Problem Session - Expressing Fractions To Decimals
Like And Unlike Decimals
Problem Session - Like And Unlike Decimals
How To Compare Two Decimal Numbers
Problem Session - Comparision Of Decimal Numbers
How To Add Two Decimal Numbers
Problem Session - Adding Decimal Numbers
How To Subtract Two Decimal Numbers
Problem Session - Subtracting Decimal Numbers
How To Multiply Two Decimal Numbers
Problem Session - Multiplying Decimal Numbers
How To Divide Two Decimal Numbers
Problem Session - Dividing Decimal Numbers
Multiplying And Dividing By 'positive Integral Powers Of 10'
Problem Session - Multiplying And Dividing By 'positive Integral Powers Of 10'
How To Plot Decimal Numbers On The Number Line
Problem Session - Plotting The Decimal Numbers
Types Of Decimals
Problem Session - Types Of Decimals
What Is 'decimal Number System'
Problem Session - Miscellaneous Problems
Problem Session - Miscellaneous Problems
Problem Session - Revision Problems
Problem Session - Revision Problems
Problem Session - Revision Problems
Problem Session - Revision Problems

Ch 7: Bases And Exponents: The Basics

What Is 'exponentiation'
Problem Session - Writing In Exponential Notation
Problem Session - Expanding An Exponential Notation
What Are 'base' And 'exponent'
Problem Session - Identifying 'base' And 'exponent'
How To Read An Exponential Notation
Problem Session - Reading An Exponential Notation
Problem Session - Evaluating Powers
Problem Session - Simplification Problems
'rational Base' And 'integral Power' - Part 1
'rational Base' And 'integral Power' - Part 2
'rational Base' And 'positive Integral Power'
'rational Base' And 'negative Integral Power'
'rational Base' And 'zero Power'
Complete Definition Of 'rational Base' Raised To'integral Power'
Summary Of 'basics Of Exponentiation'
Problem Session - Writing In Power Notation
Problem Session - '0' Raised To Any Integral Power
Problem Session - '1' Raised To Any Integral Power
Problem Session - '-1' Raised To Any Integral Power
Problem Session - Any Number To The Power 0
Problem Session - Any Number To The Power 1
Problem Session - Any Number To The Power -1
Problem Session - Simplification Problems

Ch 7: Bases And Exponents: Laws Of Indices

'restrictions' While Studying 'laws Of Indices'
First Law - 'product Of Powers With Same Base'
Second Law - 'quotient Of Powers With Same Base'
Third Law - 'power Of A Power'
Fourth Law - 'product Of Powers With Same Exponent'
Fifth Law - 'quotient Of Powers With Same Exponent'
Some Proofs Using The Law 'quotient Of Powers With Same Exponent'

Ch 8: Binary Number System

Introduction - 'binary Numbers'
What Are 'binary Numbers'
What Is 'decimal Number System'
What Is 'binary Number System'
What Are 'bits'
How To Distinguish 'decimal Number' And 'binary Number'
Problem Session - 'decimal Number' Vs 'binary Number'
How Are 'decimal Numbers' Formed
How To Form 'binary Numbers'
Counting In 'binary Number System'
Weights Of Places In Binary System
Problem Session - On Weights Of Places
How To Convert 'binary' To 'decimal'
Problem Session - 'binary' To 'decimal'
How To Convert 'decimal' To 'binary'
Problem Session - 'decimal' To 'binary'
Problem Session
Some Units Of Computer Memory

Ch 9: Set Theory

Who Developed 'set Theory'
What Is A 'set'
Problem Session - Identifying Sets
Problem Session - Identifying Sets
What Are 'elements' Of A Set
Notations Used In Set Theory
Two Methods To Represent A Set
'roster Form' Of Set Representation
Problem Session - Understanding Roster Form
Properties Of A Set
Problem Session - Properties Of Sets
Problem Session - Properties Of Sets -2
'set-Builder Form' Of Set Representation
Problem Session - Understanding Set Builder Form
Problem Session - Understanding Set Builder Form
Problem Session - Set Builder Form To Roster Form
Problem Session - Roster Form To Set-Builder Form
Problem Session - Set Builder Form And Roster Form
Problem Session - Set Builder Form And Roster Form
What Is 'cardinality' Of A Set
Problem Session - Finding 'cardinality' Of A Set
Equal And Unequal Sets
Problem Session - Equal And Unequal Sets
Two Types Of Sets
What Is A 'finite Set'
What Is An 'infinite Set'
Problem Session - Finite And Infinite Sets
Two Special Types Of Finite Sets
What Is A 'null Set'
What Is A 'singleton Set'
Problem Session - Null Set And Singleton Set
Some Standard Sets Used In Mathematics
What Is A 'subset'
Problem Session - Subsets
Problem Session - Subsets
Problem Session - Subsets
Problem Session - Subsets
Problem Session - Subsets
Problem Session - Subsets

Ch 10: Unitary Method

Basics Of Unitary Method
What Is Unitary Method
Problem Session - Applying Unitary Method (2 Directions)
Problem Session - Applying Unitary Method
Faster Way Of Applying Unitary Method
Problem Session - Faster Way Of Unitary Method
Role Of 'variation' In 'unitary Method'
Problem Session - Unitary Method For Inverse Variation

Ch 11: Ratio And Proportion

Some Situations Of Comparision
Two Ways Of Comparision
Problem Session - 2 Ways Of Comparision
Comparision By Division
Problem Session - Comparision By Division
What Is A 'ratio'
Problem Session - Ratio As 'comparision By Division'
Problem Session - Writing As A Ratio
An Example Of Ratio
'terms' Of A Ratio
Problem Session - Writing Terms Of A Ratio
A Ratio Of 2 Terms
Problem Session - Antecedent And Consequent
Problem Session - Expressing Ratio As Fraction
What Are 'equivalent Ratios'
Problem Session - Finding Equivalent Ratios
'simplest Form' Or 'lowest Form' Of A Ratio
Problem Session - Expressing In Simplest Form
Problem Session - Expressing In Simplest Form
Problem Session - Expressing In Simplest Form
Problem Session - Finding The Simplest Form
Problem Session - Judgement Of Equivalent Ratios
Problem Session - Judgement Of Equivalent Ratios
General Method To Find Equivalent Ratios
Problem Session - Problems On Equivalent Ratios
Properties Of A Ratio
Problem Session - Word Problems On Writing A Ratio
Problem Session - Word Problems On Writing A Ratio
Problem Session - A Problem On Writing A Ratio
How To Divide 'a Total' In A Given 'ratio'
Problem Session - Dividing In A Ratio
Problem Session - Dividing In A Ratio
Problem Session - Working With Ratio
Problem Session - Working With Ratio
Problem Session - Working With Ratio
How To Compare Ratios Of Two Terms
Problem Session - Comparing Ratios Of 2 Terms
What Is 'proportion'
Problem Session - Understanding Proportion
'extreme Terms' And 'mean Terms' Of A Proportion
Problem Session - Identifying 'mean Terms' And 'extreme Terms'
Properties Of 'extremes ' And 'means'
Problem Session - On Properties Of 'extremes ' And 'means'
Problem Session - Quantities In Proportion Or Not
Problem Session - Quantities In Proportion Or Not
Problem Session - Quantities In Proportion Or Not
Problem Session - Quantities In Proportion Or Not
Problem Session - Problems On Proportion
Problem Session - Problems On Proportion
Problem Session - Problems On Proportion
Problem Session - A Good Problem
Problem Session - Word Problems - Part 1
Problem Session - Word Problems - Part 2
What Is 'continued Proportion'
Problem Session - On Continued Proportion
Revision Of The Chapter - Fill In The Blanks
Revision Of The Chapter - True Or False
Revision Of The Chapter - True Or False
Revision Of The Chapter - Mcqs
Revision Of The Chapter - Mcqs

Ch 12: Percentage

What Is 'percentage'
Symbol For 'percent'
Derivation Of The Word 'percent'
Meaning Of '100 Percent Of Something'
Meaning Of '50 Percent Of Something'
Meaning Of '1 Percent Of Something'
Meaning Of 'x Percent Of Something'
The 'base' Of A Percentage
Problem Session - On 'base' Of A Percentage
Why Do We Need Percentage
Interconnection Between Fraction, Decimal And Percentage
Converting 'fractions' And 'decimals' To 'percentages'
Problem Session - Converting To Percentage
How To Convert A 'percentage' To A 'fraction' Or A 'decimal'
How To Convert A Decimal To A Percentage
Problem Session - Decimal To Percentage
How To Convert A Fraction To A Percentage
Problem Session - Fraction To Percentage
Problem Session - Finding Percentage Of Something
Problem Session - Simple Problems
Problem Session - Simple Problems
Problem Session - Simple Problems
Problem Session - Problems For Competitive Exams
Problem Session - Problems For Competitive Exams
Problem Session - Word Problems - Part 1
Problem Session - Word Problems - Part 2
Problem Session - Word Problems - Part 3
Problem Session - Word Problems - Part 4
What Is 'change'
What Is 'pecentage Change'
A 'percentage Change' Can Be Positive, Negative Or Zero
Problem Session - Finding Percentage Change
Understanding 'percentage Change'
Problem Session - Working Out A Percentage Change
Successive Percentage Change
Percentage Table
Using The Percentage Table
Applications Of Percentage Table

Ch 13: Profit And Loss

What Is 'purchasing Cost'
What Are 'overhead Expenses'
Problem Session - Finding Overhead Expenses
What Is 'cost Price'
'purchasing Cost' Vs 'cost Price'
What Is 'selling Price'
3 Possible Cases Between C.P And S.P
Introduction To 'profit' And 'loss'
Values Of 'profit' And 'loss'
Problem Session - Finding Profit Or Loss
What Are 'profit Percent' And 'loss Percent'
Importance Of 'profit Percent' And 'loss Percent'
Problem Session - Calculating Profit Or Loss Percent
Information Hidden In 'profit Percent' And 'loss Percent'
How To Find Profit Or Loss, Given Their Percentages And C.P
Problem Session - Finding Profit Or Loss From Their Percentages
How To Find S.P, Given Profit Or Loss Percentage And C.P
Problem Session - Finding S.P From Profit Or Loss Percentage
How To Find C.P, Given Profit Or Loss Percentage And S.P
Problem Session - Finding C.P From Profit Or Loss Percentage
How To Find Profit Or Loss, Given Their Percentages And S.P
Problem Session - Finding Profit Or Loss From Their Percentages
All Major Concepts Revised In 1 Video
Problem Session - Miscellaneous Problems
Problem Session - Miscellaneous Problems
Problem Session - Miscellaneous Problems
Problem Session - Miscellaneous Problems
Revision Problems
Revision Problems
Revision Problems
Revision Problems

Ch 14: Simple Interest

Interest - Introduction
Problem Session - On A = P + I
How To Find Interest For 1 Year
Problem Session - Finding Interest For 1 Year
Types Of Interest
What Is Simple Interest (S.I.)
An Example On Simple Interest (S.I.)
Simple Interest Vs Compound Interest
Problem Session - On S.I.
Problem Session - On S.I.
Problem Session - On S.I. And C.I. Combined
Problem Session - On S.I. And C.I. Combined
How To Find S.I. For 2 Years
Problem Session - Finding S.I. For 2 Years
How To Find S.I. For 3 Years
Problem Session - Finding S.I. For 3 Years
How To Find S.I. For 4 Years
Problem Session - Finding S.I. For 4 Years
Problem Session - Finding S.I. For Various Number Of Years
How To Find S.I. For 't' Years
The S.I. Formula (S.I. = Pr%T)
Problem Session - Using The S.I. Formula
Problem Session - Various Ways Of Finding S.I.
The 4 Variables In S.I. Formula
Problem Session - The Same Problem Asked In 4 Different Ways
Problem Session - Extra Problems

Ch 15: Average Speed

What Is 'object In Motion'
What Is 'path Length' Or 'distance'
What Is 'average Speed'
Interconversion Of Units Of Speed
Problem Session - Interconversion Of Units Of Speed
Problem Session - Calculating Average Speed
Problem Session - Calculating Distance Travelled
Problem Session - Calculating Time Taken
Meaning Of 'average Speed'
Fastness Or Slowness Of Motion
Properties Of Average Speed
'average Speed' And 'interval Of Time'
How To Solve Problems Of This Chapter
Problem Session - Miscellaneous Problems - Part 1
Problem Session - Miscellaneous Problems - Part 2
Problem Session - Miscellaneous Problems - Part 3
Problem Session - Miscellaneous Problems - Part 4
Problem Session - Miscellaneous Problems - Part 5
Problem Session - Miscellaneous Problems - Part 6
Two Types Of Speed
What Is 'uniform Motion'

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The syllabus

Ch 0: Some Preliminaries

Ch 1: The Basics: Number, Numeral And Numeration

Ch 1: The Basics: 'face Value' And 'place Value'

Ch 1: The Basics: 'expanded Form' Of A Number

Ch 1: The Basics: Comparing Numbers

Ch 1: The Basics: Formation Of Numbers

Ch 1: The Basics: Forming The Greatest And The Smallest Number

Ch 1: The Basics: The Smallest And The Greatest Numbers Of N-Digits

Ch 1: The Basics: Rounding Off

Ch 1: The Basics: Estimation

Ch 2: Factors And Multiples

Ch 3: Rules Of Divisibility

Ch 4: Divisibility Tests (With Proofs)

Ch 5: Number System: The Various Number Systems

Ch 5:Number System: Comparison And Ordering Of Numbers Of Various Number Systems

Ch 5: Number System: Fundamental Operations On Numbers Of Various Number Systems

Ch 5: Number System: Properties Of Numbers Of Various Number Systems

Ch 6: Decimal Numbers

Ch 7: Bases And Exponents: The Basics

Ch 7: Bases And Exponents: Laws Of Indices

Ch 8: Binary Number System

Ch 9: Set Theory

Ch 10: Unitary Method

Ch 11: Ratio And Proportion

Ch 12: Percentage

Ch 13: Profit And Loss

Ch 14: Simple Interest

Ch 15: Average Speed

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