How can you roll a dice by tossing a coin? Can you use your probability knowledge? Use your conditioning skills. Suppose, you have gone to a picnic with your friends. You have planned to play the physical version of the Snake and Ladder game. You found out that you...

Try this beautiful problem from AMC-8-2014 (Geometry) based on Circumference of a Semicircle Circumference of a Semicircle- AMC 8, 2014 – Problem 25 On A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path...

Geometric Transformation is a powerful tool in Geometry. We look at one such transformation: Spiral Similarity. Watch video Try these Spiral Similarity problems. Send answers to helpdesk@cheenta.com Problem 1: Suppose O = (0, 0), A = (2, 0) and B = (0, 2). Let T be...

Auxiliary polynomials are useful for solving complicated polynomial problems. This problem from ISI Entrance (and a Soviet Olympiad) is a good example. Watch video Read...

Direct Limit, Inverse Limit, and Hom are three ideas from category theory that are useful in many branches of mathematics. A deep understanding of them can be very helpful in the long run. In the following video, we draw schematic pictures and gain real intuition...

Inversion is one of several geometric transformations. It has a curious power of converting lines into circles. Inversion can be used to solve many geometry problems. It also has deep relations with complex numbers. Watch the following video sequence to learn more...