The Idea: Modular arithmetic provides a way to understand Pythagorean Equations. In the following videos we will explore the process.
The Idea: Modular arithmetic provides a way to understand Pythagorean Equations. In the following videos we will explore the process.
Try 3 levels of Math problems that seem easy, yet it is intense. Challenge yourself and your friends with these problems. Level 1 - Easy - 10 points The first problem is something that is somewhat elementary. From a biased coin(a coin where the probability of heads is not 1/2) how can you generate two […]
In I.S.I 2014 Problem 2 we have tried to solve a problem using the idea of barycentric coordinates.
Understand Choose your course and download the Problem List document. The assignment page link is also added. You may submit the solutions there. This will constitute 50% of your monthly grade. Math Olympiad Early Bird (India) Number Theory Problem List (Early Bird) Link to Assignment Page (only registered users may access) Chemistry Olympiad Program Thermodynamics […]
Cauchy's functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + f(y) But first, for the uninitiated, what is a functional equation after all? What is a functional equation? Usually, functions appear as formulae. For example ( f(x) = x^2 ) is a function. It takes […]
It is almost like deflating a balloon. But the effect is exponential. Today (29th January 2018, Monday), we have a special concept building cum problem-solving session on Contraction of a function. When 10 PM I.S.T. (29th January 2018) Where: Online (link will be posted in Cheenta Commons, Open Slate skype group) […]
This is a video in which you would learn Graphing an Integral. This is the third part of the video. It is taken from ISI B.Stat 2005 Problem 2. Watch, learn and enjoy the video.
This is a video in which you would learn Graphing an Integral. This is the second part of the video. It is taken from ISI B.Stat 2005 Problem 2. Watch, learn and enjoy the video.
Try this beautiful problem from Geometry: circular cylinder from AMC-10A, 2001. You may use sequential hints to solve the problem.
Try this beautiful problem from algebra, based on algebraic equations from AMC-10A, 2001. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Ordered pair. You may use sequential hints.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament.
Try this beautiful problem from the Pre-RMO, 2019 based on the Diameter of a circle. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2019 based on natural numbers. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Head Tail Problem.
Try this beautiful problem from Geometry:Radius of a circle.AMC-10A, 2003. You may use sequential hints to solve the problem
Try this beautiful problem from algebra, based on Sum of the digits from AMC-10A, 2007. You may use sequential hints to solve the problem
Learn about Hermite Identity for Math Olympiad, ISI CMI Entrances. It involves a beautiful application of periodicity of functions.
NMTC 2010 Primary Stage 1 Question 1 $\mathrm{n}, \mathrm{a}$ are natural numbers each greater than 1 . If $a+a+a+a+\ldots+a=2010$, and there are $n$ terms on the left hand side, then the number of ordered pairs $(a, n)$ is NMTC 2019 Primary Stage 1 Question 10 Sum of the odd numbers from 1 to 2019 both […]
NMTC 2019 Stage 1 Sub junior Question 10 How many positive integers smaller than 400 can you get as a sum of eleven consecutive positive integers? NMTC 2019 Stage 1 Sub junior Question 11 Let $x, y$ and $z$ be positive real numbers and let $x \geq y \geq z$ so that $x+y+z=20.1$. Which of […]
We meet in an informal discussion session with Cheenta students Aryan Kalia (Harvard University) and Anushka Aggarwal (MIT). A few selected students will join over Google Meet for a direct interaction. We will also take in questions from Youtube and Facebook Chat. Aryan Kalia had outstanding scores in American Math Competition. He also did a […]
Junior Data Science Olympiad is suitable for students of grade 9 and above, interested in Data Science. Check out the resources for the Junior Data Science Olympiad in this post. Curriculum Algebra Trigonometry Coordinate Geometry Combinatorics Data Visualization Algebra AM, GM, and Cauchy Schwarz Inequality Rational Root Theorem, Remainder Theorem Roots of a polynomial Trigonometry […]
Mahalanobis Olympiad is suitable for College and University Students, interested in Statistics and Mathematics. Check out the resources for the Mahalanobis Olympiad in this post. Curriculum High School Mathematics Calculus and Linear Algebra Probability Statistics High School Mathematics Coordinate Geometry Trigonometry Complex Numbers Permutation and Combinatorics Calculus and Linear Algebra Pre Calculus One Variable Calculus […]
Bose Advanced Math Olympiad is suitable for College Students. Curriculum Linear Algebra Abstract Algebra Real Analysis Miscellaneous Linear Algebra Vector Space, basis and Dimension. Linear Transformation, rank-nullity. Matrix Algebra. Eigenvalues, Eigenvectors, Characteristic and Minimal polynomials. Diagonalizability. Inner Product space basic properties. Abstract Algebra Groups, Subgroups, Normal and Quotient groups. Homomorphisms, isomorphisms and automorphisms. Permutation group […]
NMTC 2010 Primary Stage 1 Question 1 $\mathrm{n}, \mathrm{a}$ are natural numbers each greater than 1 . If $a+a+a+a+\ldots+a=2010$, and there are $n$ terms on the left hand side, then the number of ordered pairs $(a, n)$ is NMTC 2019 Inter Stage 1 Question 17 The number of times the digit occurs in the result […]
NMTC 2019 Stage 1 Inter Question 5 The area of the curve enclosed by $|x-2 \sqrt{2}|+|y-\sqrt{5}|=2$ is : (A) 16(B) 12(C) 8(D) 4 NMTC 2019 Inter Stage 1 Question 11 In a rectangle $A B C D$, point $E$ lies on $B C$ such that $\frac{B E}{E C}=2$ and point $F$ lies on $C D$ […]
Watch the video to learn more about opportunities after Mathematical Olympiads in India, the United States and other countries.