Remember the Dudeney puzzle introduced in the last post. We have ended with the question "Why four?"...We will be revealing the reason in this post.
Remember the Dudeney puzzle introduced in the last post. We have ended with the question "Why four?"...We will be revealing the reason in this post.
IMO 2018 Problem 6 discussion is an attempt to interrogate our problem solving skill. This article is useful for the people who are willing to appear in any of the math olympiad entrances.
Understand the Problem: The polynomial \(x^7+x^2+1\) is divisible by (A) \(x^5-x^4+x^2-x+1\) (B) \(x^5-x^4+x^2+1\) (C) \(x^5+x^4+x^2+x+1\) (D) \(x^5-x^4+x^2+x+1\) Solution A shorter solution or approach can always exist. Think about it. If you find an alternative solution or approach, mention it in the comments. We would love to hear something different from you. Also Visit: I.S.I. & C.M.I […]
" Take care of yourself, you're not made of steel. The fire has almost gone out and it is winter. It kept me busy all night. Excuse me, I will explain it to you. You play this game, which is said to hail from China. And I tell you that what Paris needs right now […]
Pedal triangles lead to spirally similar cyclic quadrilaterals in any triangle. A half turn and dilation by 1/8 create the new quadrilateral.
30 sessions, 45 hours, a team of 6 faculty members. Cheenta is presenting a camp for Indian National Math Olympiad (leading to International Math Olympiad). We begin on 14th December 2018 and it will run up to 19th January 2019.
We fold a paper using GeoGebra and explore a problem from American Mathematical Contest
An experiment to teach percentage arithmetic, Euclidean geometry, rational and irrationals and computational software tools in an interdisciplinary manner. We extensively used GeoGebra and plan to use Python later in this sequence of discussions. The exposition is conversational (in the spirit of Tarasov's Pre-Calculus). As a method of pedagogy, dialectics is subtly employed to enhance student's grasp of the subject.
A.M.- G.M. Inequality can be used to prove the existence of Euler Number. A fascinating journey from classical inequalities to invention of one of the most important numbers in mathematics!
RMO 2018 Tamil Nadu Problem 3 Sequential Hints and Solution. A number theory problem with a pinch from diophantine equation.
Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 14, based on Reflection.
This is a beautiful sample problem from ISI MStat 2018 PSB Problem 1. This is based on finding the real solution of a system of homogeneous equations . We provide detailed solution with prerequisites mentioned explicitly.
Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem.
Try this beautiful Geometry problem from PRMO, 2019, problem-23, based on finding the maximum area. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry based on Rectangle Pattern from AMC-10A, 2016, Problem 10. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry: Ratio of area of Circles from AMC-10A, 2009, Problem 21. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 11, based on Complex plane.
Try this I.S.I. B.Stat Entrance Objective Problem from TOMATO based on a derivative of Function. You may use sequential hints to solve the problem.
This is a problem involving BLUE for regression coefficients and MLE of a regression coefficient for a particular case of the regressors.