Math Activities & News

Geometry - 2025 USA Math Olympiad

An easy geometry which requires the knowledge of fundamental theorems and the use of similar triangles.

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.

Geometry - 2025 China National Math Olympiad Exam B

A geometry question requiring the knowledge of radical axis, and trigonometry methods.

Geometry - 2024 China National Math Olympiad Exam B

This is a quite challenging geometry question. In this solution I have used trigonometry and the method of coincidence to complete the proof.

Number Theory - Fermat Numbers and gcd's

This is a number theory question that requires the use of the difference of squares and the euclidean algorithm of gcd's

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