Arithmetic

What is Arithmetic? List of Topics & Chapters in Arithmetic

Number System

Unit, Number and Numeral. The Number Systems and Their Rules

What are unit, number, numerals and systems to write them? Learn how to write and convert Roman into Hindu Arabic Number System? Practice with worksheets.

List of Types of Numbers Used in Maths with Examples

Take a look at various types of numbers that are used in Maths with simple examples to understand. Download and Solve worksheets to practice for exams.

Digit, Face, Place Values and Comparison of Numbers

Learn digit, face, place, local & true values of number. How to compare numbers with equal & unequal number of digits? What is place value of repeating digits?

Prime Numbers with Sieve of Eratosthenes Test

Learn basics of prime & more types based on it? How prime & composite numbers can be represented with diagrams? Test primality with Sieve of Eratosthenes?

Fractions, Types, Shaded Diagrams & Real Life Applications

What are fractions in Maths? How many types of fractions are? How to represent them with shaded diagrams? Find out real life applications. Practice worksheets.

Methods to Compare Order Like, Unlike & Unit Fractions

How to compare two fractions as smaller or larger? How to write them in ascending or descending order? What is cross multiplication method? Practice worksheets

Add, Subtract, Multiply and Divide Fractions

Learn arithmetic operations of addition, subtraction, multiplication and division of like and unlike fractions. Practice questions with worksheets.

Highest Common Factor with Properties & Methods to Find HCF

What is HCF or GCF or GCD and its five properties? How to find common factors of numbers? What are the 3 methods to find HCF. Learn by examples & worksheets.

Least Common Multiple with Properties & Methods to Find LCM

How to find least common multiple of numbers using common multiple, prime factorization & common division methods. Practice questions in examples & worksheets.

Ratio, Proportion and the Unitary method

How to write ratio and proportions. What is equal, continued proportion, mean proportional? Learn steps of unitary method. Practice with examples & worksheets.

About Rational Numbers with Number Line Representation

Learn rational number with examples. How to represent a rational number on a number line? Know the concept with simple and easy examples, FAQs and MCQs.

Divisibility Rules of Numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

What are Divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11? Learn short methods to check if a number is divisible by another number. Practice with worksheets

Read, Write Decimal Numbers. Converting Decimals to Fractions

What is decimal number and whole & fractional parts? How to convert decimals to fractions & fractions to decimals? Learn expanding form. Download worksheets.

Rounding off Decimal Numbers to the Nearest Places

How are decimal numbers rounded to the nearest place of tenth, hundredth & thousandth? Learn rules with examples & practice worksheets to prepare for exams.

Estimations by Rounding to the Nearest 10, 100 and 1000

Learn estimations with examples. How are whole numbers rounded to the nearest 10, 100 or 1000? Learn rules & practice worksheets to prepare for your tests.

Arithmetic Operations

Addition, Subtraction of Numbers on Number Line and Downward

How numbers are added, subtracted on number line? Learn to use carryover in addition and borrow in subtraction of numbers. Download and Practice with worksheets

Decimals Addition, Subtraction, Multiplication and Division

How to add, subtract, multiply and divide decimal numbers? Examples of placing the decimal point while multiplying and dividing with decimals, 10, 100 and 1000

Integers and Their Arithmetic Operations with Examples

What are integers & how to represent on number line? Learn arithmetic operations, additive inverses and absolute values. Solved examples & download worksheets.

Order of Operations BODMAS, PEMDAS, BEDMAS and BIDMAS

Learn each step of the order of operations with examples. What are the steps to solve an expression with acronyms BODMAS, BEDMAS, BIDMAS and PEMDAS?

Number Pattern

Magical Multiplication Pattern of 9

Know different multiplication pattern of 9 with 6 and 9 with 111, 222 and so on. Know the concept with simple and easy examples.

Magical Multiplication Pattern of 11

Know different multiplication pattern of 11 with 1 and 2 and so on. Know the concept with simple and easy examples.

Magical Multiplication Pattern of 3367

Know different multiplication pattern of 3367 with 33, 66, 99, 132 and so on. Know the concept with simple and easy examples.

Number Patterns of Pascal's Triangle

What is Pascal's Triangle? The interesting number patterns formed on rows and diagonals of Pascal's Triangle. Learn in simple and easy way with diagrams.

Percentages

Percentages, Convert it to Fractions & Decimals

What is percentage? Calculate percentages of a number. Convert percent to fractions, decimals. Learn with solved examples. Practice with Worksheets & MCQs.

Profit Loss Discount Marked Price & Calculate Percentage

Learn definition and how to calculate profit, loss, discount, percentages and different types of prices of a product in the simplest way with examples.

Interest

Simple, Compound and Rate of Interest with Examples

Learn principle, amount, simple, compound interest & rate of interest concepts in the simplest way with examples. How are simple & compund interest different?

Arithmetic Theorems

Fundamental Theorem of Arithmetic with Applications

Fundamental Theorem of Arithmetic. Its history, theorem statement, applications in HCF or GCD and LCM with examples.

Algebra

Algebraic Expressions, Polynomials and Equations in Algebra

Algebraic Expressions

Algebraic Expression and its Operations with Examples

Basics of algebraic expressions, constant, variable, terms, addition, subtraction, multiplication and division operations. Learn by examples, FAQs and MCQs.

Polynomials

Polynomial, its Terms, Degree and Types

Polynomial definition, terms, degree, monomial, binomial, linear, quadratic, cubic. Algebraic expression, constant & zero polynomials. Examples, FAQs and MCQs.

Zeros of Polynomial and its Geometrical Meaning

Zeros of Polynomial. Definition, geometrical meaning of linear, quadratic, cubic & biquadratic. FAQs, MCQs and Solved Examples.

Relationship of Zeros and Coefficients of Polynomials

Relationship between zeros & coefficients of quadratic, cubic and biquadratic polynomials. Sums & products of zeros of polynomial. FAQs, MCQs & Solved Examples.

Equations

Linear Equation with Examples and Methods to Solve

What is an equation, linear equation, meaning of equality with examples. Trial, systematic and transportation methods to solve linear equation.

Quadratic Equation. Find Roots and Methods to Solve

What is quadratic equation & its standard form? How to find roots & methods to solve it with factorization, completing the square & quadratic formula methods.

Exponents

Basics of Exponent, Laws of Exponents & Standard Index Form

Learn all laws of writing and operations on exponents? Practice converting long and short numbers into standard or scientific forms?Download free worksheets.

Geometry

List of Chapters in Geomentry Unit & Related Theorems

Fundamentals of Geometry

Point, Line, Ray, Line Segment and Plane

Definition of a point, line, ray, line segment, various types of lines and plane. Learn fundamentals of geometry. Learn by solved examples, FAQs and MCQs.

Angle, its Measures and Types of Angle

Definition of an angle. What are the different types of angles & measure of an angle? Learn adjacent and congruent angles with examples & solve worksheets.

Formation of Angles by Intersecting Lines

What are the relationships between lines and angles? How are vertically opposite, alternate and corresponding angles are formed by intersecting lines?

Triangle and the Types of Triangle

Definition of a triangle. Its sides, vertex & angles. Types of triangle Equilateral, Isosceles, Acute, Right & Obtuse angled triangles. Examples, FAQs & MCQs.

Area and Perimeter of Different Types of Triangle

Area and perimeter of a triangle, their units of measurement. How are they calculated and related formulae for isosceles and equilateral triangle?

Curve, Polygon and Types of Polygon

What is a curve and polygon? Diagonals, adjacent sides & types of polygon like convex, concave, regular, irregular, simple, trigon, tetragon, pentagon, hexagon.

Quadrilateral and Types of Quadrilateral

What is a Quadrilateral its diagonals, adjacent sides, opposite sides and different types of quadrilateral? Learn by solved examples, FAQs and MCQs.

Perimeter and Area of Quadrilaterals

Formulas and calculations of perimeter and area of quadrilaterals like parallelogram, rectangle, square, rhombus and trapezium.

Circle and Semi Circle. Diameter, Chord, Arc, Tangent

What is circle and semi circle? What is diameter, chord, arc, secant, sector, segment, tangent and quadrant. Learn by solved examples, FAQs and MCQs.

Circumference and Area of Arc, Sector, Segment, Circle

What are the formulas and how to calculate area and circumference of circle and semi circle? Formulas of length of arc, area of sector and segment.

Cartesian Coordinate System and Quadrants

What is cartesian coordinate system and basic concepts of axes, quadrants and coordinates of a point in coordinate geometry? Examples, FAQs and MCQs.

Geometry Theorems

Pythagoras Theorem Real Life Applications and History

What is Pythagoras Theorem, its formula, history, real life applications and examples. How it is used to solve shortest distaance and ladder length problem?

Statistics

Fundamentals of Statistics, Data Collection & Handling

Data Handling

Data Collection and Organization

What is data in statistics? Collection of Primary & secondary data types. Organization of data. Discrete & grouped frequency distribution & use of tally marks.

Data Handling, Presentation and Interpretation

Basics of data handling. Presentation & interpretations of data with charts or graphs. Learn how to draw pictographs, bar graph, pie chart and line graphs.

Things to Remember

Useful List of Symbols and Formulas to Remember.

Symbols

Useful List of Upper and Lower Case Greek Symbols

Read the useful list of greek symbols used in mathematics, science and engineering. Learn and know how to write lower case and upper case greek symbols.

Useful List of Arithmetic Symbols

Read the list of symbols used in Arithmetic. Learn symbols by name and example and know how to write symbols in arithmetic.

Useful List of Symbols Used in Geometry

Read the list of symbols used in Geometry. Learn symbols by name and example and know how to write symbols in plane and solid Geometry.

Useful List of General Symbols Used in Maths

Read the list of general symbols used in Maths. Learn symbols by name and example and know how to write general symbols in Maths.

Formulas

Profit, Loss, Discount and Different Prices Formulas

Read the list of cost, selling, marked prices, profit, loss, discount & %age formulas. Helpful summary of formulas and ready to remember for exams preparation.

List of Algebraic Identities in Algebra

Read the list of important algebraic identities and formulas in Algebra. Helpful summary of formulas and ready to remember for exams preparation.

List of Area and Perimeter Formulas of 2D Shapes

List of formulas of area & perimeter of 2D shapes like rectangle, triangle, circle etc. Helpful summary of formulas and ready to remember for exams preparation.

Summary Table of Vertices, Edges, Faces of 3D Shapes

Read the summary table of vertices, edges and faces of 3D shapes and Euler's formula. Helpful summary of formulas and ready to remember for exams preparation.

List of Surface Area and Volume Formulas of 3D Shapes

Read the summary of formulas of surface area, total surface area & volume of 3D shapes. Helpful summary of formulas and ready to remember for exams preparation.

Knowledge

Mathematics Knowledge about History, Facts and General Maths

History

List of Famous Mathematicians and Their Contributions

Who are the famous mathematicians in the world? Know their birth, country of origin & contributions. Read about Euclid, S. Ramanujan, Pythagoras & many more.

Important Days in Mathematics Celebrated in the World

List of important days in Mathematics in world. Pythagorean Theorem Day, Fibonacci Day, Pi Day, E-Day, Women in Mathematics Day, Square Root Day, Palindrome Day

General Math

Units Measurements Conversions of Mass Length Time

What are units & its measurements & conversions? What are metric & imperial systems of units? Helpful summary and ready to remember for exams preparation.