This post contains problems from Indian National Mathematics Olympiad, INMO 2016. Try them and share your solution in the comments. INMO 2016, Problem 1 Let \(ABC\) be triangle in which \(AB=AC\). Suppose the orthocenter of the triangle lies on the incircle. Find the ratio \(AB/BC\). INMO 2016, Problem 2 For positive real numbers \(a, b, […]
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 post contains problems from Indian National Mathematics Olympiad, INMO 2018. Try them and share your solution in the comments. INMO 2018, Problem 1 Let ABC be a non-equilateral triangle with integer sides. Let D and E be respectively the mid-points BC and C A, let G be the centroid of triangle ABC. Suppose D, […]
The most beautiful equation in mathematics is: It is often attributed to Swiss Mathematician Leonhard Euler. Interestingly enough, this is nothing but a statement about rotation! 23 is a shorthand way of writing 2 × 2 × 2. But this is very very different from what means. Mathematicians use this trick over and over again. They overload notations. In fact is a […]
We have indicated the source of these problems. Do not look up solutions. It is fun to try it yourself or see others try them live! Let P be an interior point of triangle ABC and AP, BP, CP meet the sides BC, CA, AB in D, E, F respectively. Show that \( \frac{AP}{PD}=\frac{AF}{FB}+\frac{AE}{EC} \) […]
Sine of an angle, half chord and vertical projection Note that half chord corresponding to a half arc is same as the magnitude of vertical projection.
Watch the solution of an interesting problem on Triangles on a sphere and learn how to solve it. You may try the problem yourself and then watch the video. PROBLEM Suppose the earth is a perfect sphere. You are on its surface at point A. First, you walk 1 mile south, then 1 mile east […]
You may want to look into the first part
Cheenta Opportunity is an initiative for the benefit of Cheenta Olympiad candidates. We dig up opportunities and resources available all around the world for our students. Here we are exploring UCLA Full Scholarship Program - MUMS. University of California, Los Angles is one of the leading universities in the world. Its mathematics department is held in […]
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on derivative of Function. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry: Area of region from AMC-10A, 2007, Problem-24. 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.
This is a beautiful problem from ISI MStat 2017 PSB based on matrices . We provide details solution with the prerequisites mentioned explicilty.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Head Tail Problem.
Try this beautiful problem based on expansion from TOMATO 102 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.
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 TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints.