Preface In geometry, transformation refers to the movement of objects. Adventures in Geometry 1 is the first part of "Adventures in Geometry" series.The content is presented as a relatively free-flowing dialogue between the Teacher and the Student. Also Visit: Math Olympiad Program Teacher: Stationary objects such as triangles, points or circles are not that interesting […]
Now lets discuss about the Second chapter named as SUBGROUPS . As mentioned before I am following the sequence of chapters from Herstein. IMPORTANT IDEAS: i) First go through the definition very well. You will see that H is a subgroup of G when H is a group under the same operation of G, and […]
Can you find the shortest path on cube? Let's understand with the help of a problem. Here is a solution presented by the students in class.
Let's learn how to find the integer solutions of a three variable equation. Problem: Consider the following equation: \( (x-y)^2 + (y-z)^2 + (z - x)^2 = 2018 \). Find the integer solutions to this three variable equation. Discussion: Set x - y = a, y - z = b. Then z - x = - […]
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 […]
Try this beautiful problem from the Pre-RMO, 2017 based on Roots and coefficients of equations. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2017 based on Real Numbers and Integers. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2017 based on Roots of Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem
Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry - AMC-10 B (2013), Problem-16 based triangle. You may use sequential hints to solve the problem.
Try this beautiful problem from algebra, based on Sum of reciprocals in quadratic equation from AMC-10A, 2003. You may use sequential hints.