Showing posts with label axis of symmetry. Show all posts
Showing posts with label axis of symmetry. Show all posts

Thursday, April 30, 2015

Asian Pacific Mathematics Olympiad Mock Problem

Find [MATH]\sum_{x=0}^{101}\frac{\frac{2x}{101}-1}{\frac{3x^2}{10201}-\frac{3x}{101}+1}[/MATH].

At first glance, this looks like a very demanding hard challenge, and you don't even know where to start working on the problem.

But this is necessarily a delicious problem in terms of how well we can milk it for all its worth to benefit students. In case  you might not already know, I am the advocate for teaching students and equip them with analytical thinking and critical problem solving skills, so, this problem can help me to achieve my aim.