INMO 2020 (Indian National Math Olympiad) 2020 Problems and Solutions. We provide sequential hints so that you can try the problems on your own.
INMO 2020 (Indian National Math Olympiad) 2020 Problems and Solutions. We provide sequential hints so that you can try the problems on your own.
The following problems are collected from a variety of Math Olympiads and mathematics contests like I.S.I. and C.M.I. Entrances. They can be solved using elementary coordinate geometry and a bit of ingenuity.
How to combine algebra and geometry to solve a biquadratic? Try this beautiful problem from ISI Entrance 2005. We provide knowledge graph and video.
A simple trigonometric equation from ISI Entrance. Try this problem. We also added a quiz, some related problems, and finally video.
AM GM Inequality has a geometric interpretation. Watch the video discussion on it and try some hint problems to sharpen your skills.
Can you combine geometry and combinatorics? This ISI Entrance problems requires just that. We provide sequential hints, additional problems and video.
A problem from ISI Entrance that requires Paper folding geometry. We provide sequential hints so that you can try the problem!
Every week we dedicate an hour to Beautiful Mathematics - the Mathematics that shows us how Beautiful is our Intellect. Today we are going to discuss the Fermat's Little Theorem. This week, I decided to do three beautiful proofs in this one-hour session... Proof of Fermat's Little Theorem ( via Combinatorics ) It uses elementary […]
This article aims to give you a brief overview of Inequality, which will serve as an introduction to this beautiful sub-topic of Algebra. This article doesn't aim to give a list of formulas and methodologies stuffed in single baggage, rather it is specifically designed to make the introduction to the field of inequality more exciting […]
Arithmetic Mean and Geometric Mean inequality form a foundational principle. This problem from I.S.I. Entrance is an application of that.
Try this problem from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. You may use sequential hints if required.
Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and the greatest integer.
Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Series and sum.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.
Try this beautiful problem from Geometry based on Median of numbers from AMC 10A, 2020. You may use sequential hints to solve the problem.
Try this beautiful problem from Algebra, based on the Cubic Equation problem from AMC-10A, 2010. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1998, Problem 1, based on LCM and Integers.
Try this beautiful Rectangle Problem from Geometry from PRMO 2017, Question 13. You may use sequential hints to solve the problem.
In this post we are adding notes for IOQM, RMO and similar math olympiads. These are derived from Cheenta's Problem solving classes and Math Olympiad Training Program. These notes cover topics from Number Theorem, Geometry, Algebra and Geometry. Revisit this page for more notes.
Cheenta is conducting an open short course on Geometry for Math Olympiads. Any student who is interested in the fascinating world of mathematics may join it. However it will be most suitable for kids who are in Grades 6 to 9 (though others are welcome to join). Faculty Dr. Ashani Dasgupta PhD in Mathematics from […]
In 2023, the following Cheenta students are successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 100 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 times every week. CMI B.Sc. Math Entrance I.S.I. […]
The leaders in the IOQM, ISI Entrance, American Math Competitions and Math Kangaroo mock contests in Cheenta
Please use the following form to contribute problems of CMI BSc Math Entrance 2023. We will work on the solutions. Also come back to this page to see the updates on Problems and Solutions of CMI BSc Math Entrance 2023. B1. Let \( n \) be an odd positive number greater than 1. We have […]
Questions, Solutions and discussions on ISI BStat-BMath Entrance 2023.
4 Cheenta students, Parth Vartak, Abhinav Khetan, Piyush Jha and Mann Shah cracked INMO. It is the hardest Math Olympiad in India. They qualified for IMO Training Camp. In this video we discuss some of the tools used in Cheenta Math Olympiad program and why it is so successful. Particularly 2022-23 has been a truly […]
Solutions of INMO 2023 Problem 1 Let $S$ be a finite set of positive integers. Assume that there are precisely $2023$ ordered pairs $(x, y)$ in $S \times S$ so that the product $xy$ is a perfect square. Prove that one can find at least four distinct elements in $S$ so that none of their […]
We are thrilled to share with you that 11 Cheenta students (and 2 Cheenta alumni) are successful in this year's American Math Competition. Learn more about them here: