Big idea – stabilization In a counting problem, you may need to stabilize the number of cases. This means, by letting some of the variables change, one may fix the remaining cases. This is the central idea in the following problem from American Mathematical...

We fold a paper using GeoGebra and explore a problem from American Mathematical Contest (AMC 10) Problem: A rectangular piece of paper whose length is \( \sqrt 3 \) times the width has area A. The paper is divided into three equal sections along the opposite lengths,...

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. University of California, Los Angles is one of the leading universities in the world. Its...

The central theme of the thousand flowers program is: connected ideas and connected problems. We will illustrate the idea using some examples. But before we do so, let’s point out the theoretical motivation behind such a program. It is greatly borrowed from the...

What is the value of \( \dfrac{11!-10!}{9!}\)? (A) 99 (B) 100 (C) 110 (D) 121 (E) 132 For what value of \( x \) does \( 10^x \cdot 100^{2x} = 1000^5 \)? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 For every dollar Ben spent on bagels, David spent 25 cents less. Ben paid $12.50 more...

This is an (ever-growing and ever-changing) list of books, useful for school and college mathematics students. If you are working toward Math Olympiad, I.S.I., C.M.I. entrance programs or intense college mathematics, these books may prove to be your best friend. If...