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March 8, 2020
Sets and Venn diagrams |B.Math Entrance

Try this beautiful problem from B.Math Entrance Exam based on sets and venn diagrams. You may use sequential hints to solve the problem.

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March 7, 2020
INMO 2007

Try to solve these interesting INMO 2007 Questions. Solve them and write the answers in the comment to check your answers.

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March 7, 2020
Order of General and Special Linear Group

Here is the post in which you would learn about the Order of General and Special Linear Group with the help of a problem. Try it and learn the solution.

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March 7, 2020
Maximizing Arrangements

Here is a post related to a problem based on maximizing arrangements in Mathematics. Try the problem and learn the solution.

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March 6, 2020
Gaps in Permutation | TOMATO Objective Problem 145

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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March 6, 2020
Geometry of Tangents | ISI Entrance B.Stat 2009

Objective Problem Geometry (ISI Entrance) Find the radius of smaller circle. Key Concepts Check the Answer Try with Hints Watch the Video Other useful links https://www.youtube.com/watch?v=IgXv5Skqpsg&t=10s https://cheenta.com/series-and-trigonometry-isi-entrance-2009/ Related Program Subscribe to Cheenta at Youtube

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March 1, 2020
Series and Trigonometry | ISI B.Stat Entrance 2009

Problem - Series and Trigonometry (ISI B.Stat Entrance) We are going to discuss about Series and Trigonometry from I.S.I. B.Stat Entrance Objective Problem (2009). Given that $k(1+2+3++...+n)$= $(1^2+2^2+...+n^2)$ find $cos^{-1}\frac{2n-3k}{2}$. Key Concepts Check the Answer Try with Hints Watch the Video Other useful links GCD and Bezout Theorem Gauss Trick of Algebra Related Program Subscribe […]

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February 29, 2020
Well ordering principle and Bezout Theorem

Well ordering principle is a fundamental idea in Number Theory. It can be used to prove Bezout Identity. Learn it from this self learning module

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February 28, 2020
GCD and Bezout Theorem

Bezout Theorem connects GCD of two numbers with a linear equation. Learn more about this number theory tool useful for Math Olympiad and ISI Entrance.

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February 23, 2020
Division Algorithm

Division algorithm leads to form of a number. That in turn is useful in Number Theory. Learn it in this self-learning module for ISI Entrance and math olympiad

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August 22, 2021
AMC 8 2019 Problem 16 | Algebra Problem

Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem.

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August 21, 2021
AMC 8 2019 Problem 17 | Value of Product

Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem.

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July 15, 2021
Rational Root Theorem Proof Explanation | Learn with Cheenta

In this post, we will be learning about the Rational Root Theorem Proof. It is a great tool from Algebra and is useful for the Math Olympiad Exams and ISI and CMI Entrance Exams. So, here is the starting point.... $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{2} x^{2}+a_{1} x+a_{0}$ This polynomial has certain properties. 1. The coefficients are all […]

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June 29, 2021
AMC 8 2018 Problem 24 | American Mathematics Competitions

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2018 Problem 24 In the cube $ABCDEFGH$ with opposite vertices $C$ and $E,$ $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD},$ respectively. Let $R$ be the ratio of the area of […]

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June 28, 2021
AMC 8 2020 Problem 18 | American Mathematics Competitions

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2020 Problem 18 Rectangle $A B C D$ is inscribed in a semicircle with diameter $\overline{F E}$ as shown in the figure. Let $D A=16$, and let $F D=A E=9 .$ What is the […]

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June 17, 2021
RMO 1994 Problems And Solutions

This post discusses the solutions of Problems from RMO 1994 Question Paper. You may find to solution to some of these. RMO 1994 Problem 1: A leaf is torn from a paperback novel. The sum of the numbers on the remaining pages is 15000. What are the page numbers on the torn leaf. RMO 1994 Problem2: […]

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May 1, 2021
How to Prepare for Indian National Math Olympiad (INMO) ~ Arjun Gupta

Arjun Gupta is an INMO Awardee and IMOTC candidate. This puts him in the top 35 students in India. Learn from this young achiever - How to Prepare for the Indian National Math Olympiad (INMO)? Cheenta is extremely proud to present this young achiever in Mathematics in our Young Achiever Seminar! The Young Achiever's Seminar […]

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April 19, 2021
How to Prepare for EGMO ~ Ananya Ranade (Silver Medal)

How to Prepare for EGMO? Learn from the Achiever - Ananya Rajas Ranade (Silver Medal). Ananya Rajas Ranade, Silver Medalist in EGMO (European Girls Mathematics Olympiad) 2021 and a proud student of Cheenta, will be sharing with you all, how she prepared for the EGMO 2021 and how you can do it too. She will […]

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April 12, 2021
AMC 8 Algebra Questions - Year wise

Try these AMC 8 Algebra Questions and check your knowledge! AMC 8, 2025, Problem 7 On the most recent exam on Prof. Xochi's class, 5 students earned a score of at least \(95 \%\),13 students earned a score of at least \(90 \%\),27 students earned a score of at least \(85 \%\),50 students earned a […]

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March 26, 2021
INMO 2021 Problem 5 - Solution and Discussion

A beautiful geometry problem from INMO 2021 (problem 5). Learn how to use angle chasing to find center of a circle.

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