Arithmetic
Number System
Unit, Number and Numeral. Number Systems and Their Rules
Everywhere in our daily life we come across the count of things or number of items, for example 6 pens,…
ARITHMETIC > NUMBER SYSTEM
List of Types of Numbers Used in Maths with Examples
Following is the list of the most commonly used types of numbers in maths with examples: Natural Whole Integers Rational…
ARITHMETIC > NUMBER SYSTEM
Digit, Face, Place Values and Comparison of Numbers
There are 10 symbols in the number system which are used to write any number in mathematics. These ten symbols…
ARITHMETIC > NUMBER SYSTEM
Prime Numbers with Sieve of Eratosthenes Test
Any Natural number greater than 1, which is divisible by 1 and only by itself is called Prime Number. 2,…
ARITHMETIC > NUMBER SYSTEM
Fractions, Types, Shaded Diagrams & Real Life Applications
Fractions are written in the form of ab, where a and b are integers and b can not be equal…
ARITHMETIC > NUMBER SYSTEM
Methods to Compare Order Like, Unlike & Unit Fractions
What a fraction is and what the types of fractions are, have been explained in detail in the chapter Fractions,…
ARITHMETIC > NUMBER SYSTEM
Add, Subtract, Multiply and Divide Fractions
The previous chapter Fractions, Types, Shaded Diagrams & Real Life Applications discussed about what a fraction is and what the…
ARITHMETIC > NUMBER SYSTEM
Highest Common Factor with Properties & Methods to Find HCF
HCF or GCF (Greatest Common Factor) or GCD (Greatest Common Divisor), they all are the same terms. We use them…
ARITHMETIC > NUMBER SYSTEM
Least Common Multiple with Properties & Methods to Find LCM
LCM (Least Common Multiple or Lowest Common Multiple), they all are the same terms. We use them while finding out…
ARITHMETIC > NUMBER SYSTEM
Ratio, Proportion and the Unitary method
Ratio is a term used to compare two quantities. A Ratio of two numbers tells how many times one quantity…
ARITHMETIC > NUMBER SYSTEM
About Rational Numbers with Number Line Representation
A rational number is a type of number which is explained in brief in the chapter What are the Types…
ARITHMETIC > NUMBER SYSTEM
Divisibility Rules of Numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
When we come across some numbers which are longer and we are still interested for such numbers to find out…
ARITHMETIC > NUMBER SYSTEM
Read, Write Decimal Numbers. Converting Decimals to Fractions
Decimal numbers are written using decimal numeral system. Decimal numeral system is also called as Base Ten Numeral Positional System,…
ARITHMETIC > NUMBER SYSTEM
Rounding off Decimal Numbers to the Nearest Places
The decimal part of a decimal number as discussed in the chapter Read, Write Decimal Numbers. Converting Decimals to Fractions.…
ARITHMETIC > NUMBER SYSTEM
Estimations by Rounding to the Nearest 10, 100 and 1000
Estimation is a term used in maths to change a number to the nearest whole numbers of 10, 100, 1000,…
ARITHMETIC > NUMBER SYSTEM
Arithmetic Operations
Addition, Subtraction of Numbers on Number Line and Downward
Let’s understand first what a number line is. It is a straight line with marked numbers on it at equal…
ARITHMETIC > ARITHMETIC OPERATIONS
Decimals Addition, Subtraction, Multiplication and Division
Decimals numbers are added in the same way to how the whole numbers are added. A decimal number has two…
ARITHMETIC > ARITHMETIC OPERATIONS
Integers and Their Arithmetic Operations with Examples
Integers are collection of positive 1, 2, 3, 4, 5, 6, …. and negative -1, -2, -3, -4, -5, -6,…..…
ARITHMETIC > ARITHMETIC OPERATIONS
Order of Operations BODMAS, PEMDAS, BEDMAS and BIDMAS
There are four basic arithmetic operations in arithmetic, plus (+), minus(-), multiply(×) and divide(÷). The expressions in mathematics can include…
ARITHMETIC > ARITHMETIC OPERATIONS
Number Pattern
Magical Multiplication Pattern of 9
When 9 is multiplied by 6, it gives an interesting number 54 which is in a special pattern of numbers…
ARITHMETIC > NUMBER PATTERN
Magical Multiplication Pattern of 11
11 × 1 = 11 11 × 11 = 121 11 × 111 = 1221 11 × 1111 = 12221…
ARITHMETIC > NUMBER PATTERN
Magical Multiplication Pattern of 3367
When 3367 is multiplied by 33, it gives an interesting value 111,111 which is in a special pattern of numbers…
ARITHMETIC > NUMBER PATTERN
Number Patterns of Pascal's Triangle
One of the most interesting number pattern in mathematics is Pascal’s triangle. This pattern is developed by a famous french…
ARITHMETIC > NUMBER PATTERN
Percentages
Percentages, Convert it to Fractions & Decimals
Percentage is a number which is expressed as a fraction with denominator 100. Percentage is defined from the latin word,…
ARITHMETIC > PERCENTAGES
Profit Loss Discount Marked Price & Calculate Percentage
We do shop for our daily use products or grocery items for home use or as smallest as an attractive…
ARITHMETIC > PERCENTAGES
Interest
Simple, Compound and Rate of Interest with Examples
Principal, amount, simple interest, compound interest and rate of interests are the terms mostly used by banks or the money…
ARITHMETIC > INTEREST
Arithmetic Theorems
Fundamental Theorem of Arithmetic with Applications
Every number can be expressed as product of primes and this factorisation is unique, apart from the order in which…
ARITHMETIC > ARITHMETIC THEOREMS
Algebra
Algebraic Expressions
Algebraic Expression and its Operations with Examples
As we all know, algebra is a branch of mathematics where we study variables and constants and learn operations on…
ALGEBRA > ALGEBRAIC EXPRESSIONS
Polynomials
Polynomial, its Terms, Degree and Types
In Maths, Polynomial is a concept which is studied under the Algebra branch. These are a particular type of algebraic…
ALGEBRA > POLYNOMIALS
Zeros of Polynomial and its Geometrical Meaning
We have learnt earlier in the chapter Polynomial, its Terms, Degree and Types, the meaning of polynomials and its various…
ALGEBRA > POLYNOMIALS
Relationship of Zeros and Coefficients of Polynomials
The detailed discussion about zeros of polynomials and how to represent a polynomial on a graph can be found in…
ALGEBRA > POLYNOMIALS
Equations
Linear Equation with Examples and Methods to Solve
Before we take a deep dive into linear equations, let us shed some light on the general term equations used…
ALGEBRA > EQUATIONS
Quadratic Equation. Find Roots and Methods to Solve
“Quadratic” word in quadratic equation comes from quadratic polynomial, which is a polynomial with the highest degree of 2. The…
ALGEBRA > EQUATIONS
Exponents
Basics of Exponent, Laws of Exponents & Standard Index Form
A longer number which can be written its same factors e.g. if x is multiplied n times by itself, it…
ALGEBRA > EXPONENTS
Geometry
Fundamentals of Geometry
Point, Line, Ray, Line Segment and Plane
A point and a line are considered as one of the most fundamental building blocks of geometry. A line segment,…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Angle, its Measures and Types of Angle
In the chapter Point, Line, Ray, Line Segment and Plane we learnt about the basic geometrical concepts of rays. The…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Formation of Angles by Intersecting Lines
We have learnt the basics of angles, their measures and various types of angles in the chapter Angle, its Measures…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Triangle and the Types of Triangle
We have already discussed about polygons in the Curve, Polygon and Types of Polygon chapter. There we learnt that a…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Area and Perimeter of Different Types of Triangle
Perimeter is the length of the boundary around any closed figure. The boundary of a triangle consists of its three…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Curve, Polygon and Types of Polygon
Polygon term originates from the two Greek words “Poly” and “Gon”, where “Poly” stands for “many” and “Gon” stands for…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Quadrilateral and Types of Quadrilateral
Quadrilateral is one of the type of polygons, which we already studied in the chapter Curve, Polygon and Types of…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Perimeter and Area of Quadrilaterals
We have learnt what a quadrilateral is and different types of a quadrilateral in the chapter Quadrilateral and Types of…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Circle and Semi Circle. Diameter, Chord, Arc, Tangent
Circle is defined as the path of a moving point that remains at a fixed distance from a fixed point.…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Circumference and Area of Arc, Sector, Segment, Circle
Circumference is the length of the boundary of the circle. Its units are same as that of length i.e meter,…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Cartesian Coordinate System and Quadrants
Cartesian Coordinate System is used to describe the position of a point in a plane using coordinates in coordinate geometry.…
GEOMETRY > FUNDAMENTALS OF GEOMETRY
Geometry Theorems
Pythagoras Theorem Real Life Applications and History
Pythagoras theorem is also known by another name as Pythagorean Theorem is the famous theorem in geometry. This theorem is…
GEOMETRY > GEOMETRY THEOREMS
Statistics
Data Handling
Data Collection and Organization
Around us, we come across different types of information that help to take some decision or to reach some type…
STATISTICS > DATA HANDLING
Data Handling, Presentation and Interpretation
What is data, information and how the data is collected and organized to get a good piece of information are…
STATISTICS > DATA HANDLING
Things to Remember
Symbols
Useful List of Upper and Lower Case Greek Symbols
Name Lower Case Upper Case Alpha α Α Beta β Β Chi χ Χ Delta δ Δ Epsilon ε Ε…
THINGS TO REMEMBER > SYMBOLS
Useful List of Arithmetic Symbols
Name Symbol Example Read as Plus + 8 + 4 8 plus 4 Minus – 8 – 4 8 minus…
THINGS TO REMEMBER > SYMBOLS
Useful List of Symbols Used in Geometry
Name Symbol Example Angle ∠ ∠ 45° Congruent to ≅ Δ ABC ≅ Δ PQR Degree ° 45° Parallel ||…
THINGS TO REMEMBER > SYMBOLS
Useful List of General Symbols Used in Maths
Name Symbol Example Because ∵ ∵ a + b = c For all ∀ ∀ a Implies to ⇒ ⇒…
THINGS TO REMEMBER > SYMBOLS
Formulas
Profit, Loss, Discount and Different Prices Formulas
Profit = SP – CP Loss = CP – SP Profit% = ProfitCP × 100 Loss% = LossCP × 100…
THINGS TO REMEMBER > FORMULAS
List of Algebraic Identities in Algebra
(a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2 a2 –…
THINGS TO REMEMBER > FORMULAS
List of Area and Perimeter Formulas of 2D Shapes
2D shape Area Rectangle l × b Square a × a = a2 Parallelogram b × h Rhombus b ×…
THINGS TO REMEMBER > FORMULAS
Summary Table of Vertices, Edges, Faces of 3D Shapes
Shape No. of vertices No. of edges No. of faces Cube 8 12 6 Cuboid 8 12 6 Cylinder 0…
THINGS TO REMEMBER > FORMULAS
List of Surface Area and Volume Formulas of 3D Shapes
3D shape Surface area Cylinder 2πrh Cone πrl Sphere 4πr2 Hemisphere 2πr2 3D shape Total surface area Cuboid 2(lb +…
THINGS TO REMEMBER > FORMULAS
Knowledge
History
List of Famous Mathematicians and Their Contributions
Al Khawarizmi was a Persian mathematician who worked in the fields of mathematics, astronomy and geography. He has been named…
KNOWLEDGE > HISTORY
Important Days in Mathematics Celebrated in the World
E-Day (Eulers Number) Fibonacci Day International Sudoku Day National Mathematics Day (India) National Numeracy Day (UK) Number Day (UK) Palindrome…
KNOWLEDGE > HISTORY
General Math
Units Measurements Conversions of Mass Length Time
This article Units, Measurements and Conversions primarily introduces to the units that whole world is using in measuring quantities, for…
KNOWLEDGE > GENERAL MATH
Clock Dial, Hands and Basics of Reading Time on Clock
A Clock is a device that tells us time of the day and night. Time on the clock is read…
KNOWLEDGE > GENERAL MATH
Convert Hours, Minutes and Seconds. Learn Operations on Time
Hours, minutes and seconds are the units to measure time. An hour is the largest unit to measure time from…
KNOWLEDGE > GENERAL MATH
