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April 28, 2018
Orthocenter and equal circles

This post is about the concept of Orthocenter (the intersection point of altitudes) and equal circles. Watch the videos and learn.

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April 26, 2018
Geometry of Motion: Open Seminar

Learn about the Geometry of Motion in an Open Seminar organized by us. Want to Join or learn more? Get all the information here.

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April 24, 2018
Bijections in Combinatorics (TOMATO Obj 168)

Bijection principle is a very useful tool for combinatorics. Here we pick up a problem that appeared in I.S.I.'s B.Stat-B.Math Entrance. Part 1: The problem and the hints Part 2  Part 3

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April 23, 2018
Algebraic Identity (TOMATO Objective 16)

Watch and learn the concept of Algebraic Identity from TOMATO Objective, Problem 16. This is useful for the students preparing for ISI and CMI Entrance.

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April 22, 2018
Adventures in Geometry 1

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 […]

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April 20, 2018
Starters book in Algebra continued

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 […]

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April 15, 2018
Shortest Path on Cube

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.

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March 29, 2018
Integer solutions of a three variable equation

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 = - […]

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March 27, 2018
Geodesic

A geodesic is a locally length-minimizing curve. In the plane, the geodesics are straight lines. Let's learn about it with the help of a video.

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March 24, 2018
Euler Number in solids
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May 27, 2020
Ordered Pairs | PRMO-2019 | Problem 18

Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem.

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May 27, 2020
Maximum area | PRMO-2019 | Problem 23

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.

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May 27, 2020
Rectangle Pattern | AMC-10A, 2016 | Problem 10

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.

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May 27, 2020
Ratio of Circles | AMC-10A, 2009 | Problem 21

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.

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May 27, 2020
Problem on Complex plane | AIME I, 1988| Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 11, based on Complex plane.

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May 21, 2020
Quadratic Equation Problem | AMC-10A, 2005 | Problem 10

Try this beautiful problem from algebra, based on Quadratic equation from AMC-10A, 2005. You may use sequential hints to solve the problem.

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May 21, 2020
Probability in Game | AMC-10A, 2005 | Problem 18

Try this beautiful problem based on Probability in game from AMC-10A, 2005. You may use sequential hints to solve the problem.

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May 21, 2020
Covex Cyclic Quadrilateral | PRMO 2019 | Question 23

Try this beautiful problem from the Pre-RMO, 2019 based on Covex Cyclic Quadrilateral. You may use sequential hints to solve the problem.

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May 20, 2020
Ordered triples | PRMO 2017 | Question 21

Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.

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May 20, 2020
Area of the Inner Square | AMC-10A, 2005 | Problem 8

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.

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