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Nice Math Problems
and some nice solutions too!
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Given f(f(x)) = x² − x + 1, can you find f(0)?
Given f(f(x)) = x² − x + 1, can you find f(0)?
Surprisingly, the answer is yes…
Russell Lim
Jan 13
A Very Nice Algebra Problem from the 2023 China Math Olympiad
A Very Nice Algebra Problem from the 2023 China Math Olympiad
The Chinese IMO team eat sequences like this for breakfast!*
Russell Lim
Jan 3
Bouncing Light Rays in the Iran Mathematical Olympiad
Bouncing Light Rays in the Iran Mathematical Olympiad
An enlightening geometry problem ;)
Russell Lim
Dec 9, 2022
A Nice Prime Number Problem from the 2000 Greek Olympiad
A Nice Prime Number Problem from the 2000 Greek Olympiad
Find all primes p such that (1 + p + p² + p³ + p⁴) is a perfect square.
Russell Lim
Nov 23, 2022
A Classic Probability Problem
A Classic Probability Problem
Which, surprisingly, can be solved using only middle-school math!
Russell Lim
Nov 21, 2022
A Nice Graph Theory Problem from the 2022 China IMO Team Selection Test
A Nice Graph Theory Problem from the 2022 China IMO Team Selection Test
Searching for Eulerian cycles 🚲
Russell Lim
Nov 17, 2022
A Complex Elementary Geometry Problem with an Elementary Complex Solution
A Complex Elementary Geometry Problem with an Elementary Complex Solution
The title makes sense… I promise!
Russell Lim
Nov 14, 2022
2023 and Sums of Squares
2023 and Sums of Squares
Number puzzles to welcome the new year!
Russell Lim
Nov 13, 2022
Counting Tigers in the 2022 Alibaba Global Mathematics Competition
Counting Tigers in the 2022 Alibaba Global Mathematics Competition
A probability question — programming is allowed
Russell Lim
Nov 4, 2022
Can You Find the Number at the Centre of this Grid?
Can You Find the Number at the Centre of this Grid?
A multiple choice question from the 2022 Australian Mathematics Competition
Russell Lim
Oct 24, 2022
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