Math Activities & News

Geometry - 2025 China National Math Olympiad Exam A

A very challenging geometry question from the national math olympiad in China in the previous year. My solution uses the method of coincidence and theorems such as the circle power theorem and the side form of Ceva's Theorem.

Calculus Maximum Question

Q(Geometry) 07

This question requires the use of angle chasing and the ability to identify and use cyclic quadrilaterals

Calculus Rate of Change Question

Using Taylor Series to prove cis(x)=e^(ix) --> polar

IB past paper trigonometry Question II

IB Trigonometry Past Paper Question

Easier Pythagoras thereom

Q(Inequality) 06

This question requires the AM-GM inequality used twice.

UKMT IMC 2026 Q6