Problem of the Week (12)
Donald draws ten mathematical objects that can be labelled from . He puts them into a natural sequence as follows:…
Mathematical Proof
Title image: Euclid’s Elements Proving various results in math is arguably one of the most rewarding parts of doing it….
Problem of the Week (11)
Solve the following equation: Happy problem solving! Email your solutions to [email protected]
Problem of the Week (9)
The Mutilated Chessboard: We take a standard 8×8 chessboard, with 64 squares. Is it possible to cover this completely (tile…
Problem of the Week (8)
AN OLD RIDDLE runs as follows. An explorer walks one mile due south, turns and walks one mile due east,…
Problem of the Week (7)
A monk climbs a mountain. He starts at 8AM and reaches the summit at noon. He spends the night on…
The Trivial Inequality
One of the most fundamental inequalities in math is the Trivial Inequality, which says: If x is a real number,…
Problem of the Week (6)
There are three on/off switches on the ground floor of a building. Only one operates a single lightbulb on the…
Warren Li: An Interview with an IMO Gold Medallist
Background: I had the privilege of ‘interviewing’ Warren Li OE, in which I asked him some questions about general math,…
Problem of the Week (5)
Divide the following region into 4 congruent shapes (the shape is created by joining 3 congruent squares) (Credits to IMOmath)…