RMO

This Category will divide the articles that are useful for Regional Maths olympiad. This could include theory, solved examples, unsolved examples, test papers and previous year papers.

Principle of Inclusion and Exclusion – with Examples

Principle of Inclusion and Exclusion (PIE) To understand inclusion exclusion principle, lets take an example Suppose there is a class of students who speak 3 languages. English, Spanish and French.  Each student speaks at least one of the languages. Let E be the set of the students speaking English, set S stands for Spanish speaking …

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Graph Range and Sign of quadratic expression

To understand Quadratic equations further we must know graph, Range and Sign of Quadratic expression. These three concepts sometimes becomes the major part of the questions when hunting for roots doesn’t make more sense. What is a quadratic expression An expression of the form , where a,b,c are real number and a is non zero …

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Sine rule cosine rule and Napiers analogy : Formula and examples

Are you willing to understand sine rule cosine rule and law of tangents. These three laws are very important properties of a triangle. I have added some good number of examples to make things pretty clear. If you are new to trigonometry, I recommend you to read Trigonometric Ratios and Identity The Law of sines …

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Binomial Theorem Expansion : Formula and examples

You might have used the formula , but do you know what would be the formula for or . Binomial theorem expansion formula explains this for all real n.  Let’s understand some basic terms first. What is Binomial Expression A binomial expression is an algebraic expression consisting of two terms with +or –  sign between …

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Greatest Integer function Domain and Range with graph

Are you looking forward to understand what is greatest integer function and its domain and range? How to draw its graph. How to solve examples on it? Then this post contain in depth explanation stay tuned Greatest Integer function [x] Domain and Range with Graph What is Greatest Integer function Greatest integer function  gives out …

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Geometric progression GP : formula and Examples

Are you looking for geometric progression formula and examples. I hope by this time you are clear about What is Progression and series and you have been through Arithmetic progression. If not you can Study Arithmetic progression What is geometric progression  A progression is called a G.P. if the ratio of its each term to …

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