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 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 beautiful problem from algebra, based on Quadratic equation from AMC-10A, 2005. You may use sequential hints to solve the problem.
Try this beautiful problem based on Probability in game from AMC-10A, 2005. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2019 based on Covex Cyclic Quadrilateral. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry: Area of the inner square AMC-10A, 2005, Problem-8. You may use sequential hints to solve the problem.