## Integer Tiles: Unveiling the Rectangle's Inner Workings

Here's a simple-sounding challenge. Problem. Imagine that you have a number of rectangles, each of which has at least one integer side. If they come together to tile a larger rectangle, must it also have one integer side? It looks like high school combinatorics, but at the 1985 Summer Meeting

## Square One: The Chess Principles You Need to Start Winning

Chess is seen as a game of strategy. A mental battle between two genius minds. A reflection of one's thinking ability. But if you ever played it yourself, you'd know that chess has nothing to do with IQ. There are \(10^{10^{50}}\) ways a game can play out. Each

## Exam Theory: How to Learn and Revise for Perfect Grades

There's a good chance you prepare for exams poorly. I say this because most students don't learn how to learn. They default to what feels natural, to what their peers are doing, or to what their teachers tell them to do. But it's possible to do so much better. Imagine

## Harvard Bound: What It Takes to Get Into an Elite College

I believe that anyone can get into an elite college. That any student, no matter their grades or extracurriculars, can forge a path into the red-brick halls of Harvard and other top universities. I know this is controversial. I know that an air of uncertainty and impossibility surrounds the topic