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International Mathematical Olympiad 1979 Number Theory Problem
International Mathematical Olympiad 1979 Number Theory Problem
Number theory problem from the hardest mathematical competition for highschoolers — the International Mathematical Olympiad.
Wojciech kowalczyk
Jul 1
A problem from the Indian TST
A problem from the Indian TST
A problem from the International Mathematical Olympiad Team Selection Test in India!
Wojciech kowalczyk
Jun 18
A number theory problem from the Harvard-MIT Mathematics Tournament
A number theory problem from the Harvard-MIT Mathematics Tournament
A number theory problem from the Harvard-MIT mathematics tournament (HMMT)
Wojciech kowalczyk
Jun 17
An integral from the International Mathematical Competition in 1996.
An integral from the International Mathematical Competition in 1996.
A seemingly difficult integral! Can you figure it out?
Wojciech kowalczyk
Jun 10
A digit problem from the International Mathematical Olympiad
A digit problem from the International Mathematical Olympiad
International Mathematical Olympiad, the hardest mathematical Olympiad for highschoolers in the world. Can you solve a problem from it?
Wojciech kowalczyk
Apr 20
An inequality from the Manchester Maths League Final.
An inequality from the Manchester Maths League Final.
A problem from the finals of a relatively new competition; the Manchester Maths League. Can you figure out how to solve it?
Wojciech kowalczyk
Apr 18
Simultaneous equation from the Bulgarian Winter Tournament 2024
Simultaneous equation from the Bulgarian Winter Tournament 2024
A very difficult and tedious simultaneous equation from the Bulgarian Winter Tournament. Do you have what it takes to solve it?
Wojciech kowalczyk
Apr 16
2024 Australian National Olympiad Factorial problem.
2024 Australian National Olympiad Factorial problem.
A relaxing number theory problem from Australia!
Wojciech kowalczyk
Apr 14
A Number Theoretical Equation From Belarus
A Number Theoretical Equation From Belarus
Here lays a difficult number theory problem from the Belarusian National Olympiad. Can you solve it?
Wojciech kowalczyk
Apr 12
A trigonometric sum reigning from Iran.
A trigonometric sum reigning from Iran.
In this article, we go through a sum from the second round of the Iranian Mathematical Olympiad.
Wojciech kowalczyk
Apr 10
A Chilean Simultaneous equation.
A Chilean Simultaneous equation.
This problem comes from the 2022 Chilean National Olympiad. Before looking at the solution, give the problem a good go!
Wojciech kowalczyk
Apr 8
An inequality from the Junior Balkan Mathematical Olympiad
An inequality from the Junior Balkan Mathematical Olympiad
This inequality was asked to young teenagers from the Balkans, do not be fooled! The problem is still difficult :)
Wojciech kowalczyk
Mar 30
MIT 2024 integration bee semi-finals problem.
MIT 2024 integration bee semi-finals problem.
In January 2024, 8 students were selected to compete in the MIT integration bee play-offs. This is what the semi-final looks like.
Wojciech kowalczyk
Mar 28
Indian number theory problems involving primes and squares.
Indian number theory problems involving primes and squares.
Problem from India involving one of the most studied concepts in the world — primes.
Wojciech kowalczyk
Mar 26
A Vietnamese number theory problem.
A Vietnamese number theory problem.
In this article, we do a challenging number theory problem from Vietnam! Do not dwell if you can’t solve it… but give it a go!
Wojciech kowalczyk
Mar 24
A functional equation from the Swedish Mathematical Olympiad
A functional equation from the Swedish Mathematical Olympiad
Here is a functional equation from the Swedish Mathematical Olympiad, sat by highschoolers in Sweden. Can you figure out how to solve it?
Wojciech kowalczyk
Mar 20
Packing squares into a rectangle… A Putnam problem.
Packing squares into a rectangle… A Putnam problem.
An optimization Putnam problem … can you figure it out?
Wojciech kowalczyk
Mar 18
A Jozsef Wildt determinant problem.
A Jozsef Wildt determinant problem.
A problem from perhaps the most difficult math competition in the world for undergraduates! Can you figure it out?
Wojciech kowalczyk
Mar 16
Putnam series integral!
Putnam series integral!
A Putnam A3. May be challenging to some and easy for others, yet the answer is definitely satisfying!
Wojciech kowalczyk
Mar 12
An integral from VTRMC — a breath of fresh air!
An integral from VTRMC — a breath of fresh air!
Many integrals that have been done recently are quite hard, so we look at an easier integral now — one could say it’s a breath of fresh air!
Wojciech kowalczyk
Mar 10
Integral of the continuous analogue of the binomial coefficient
Integral of the continuous analogue of the binomial coefficient
An integral from the UK integration bee finals 2024. This is one of the most exciting integrals in the whole competition!
Wojciech kowalczyk
Mar 8
A functional equation from Vojtěch Jarník
A functional equation from Vojtěch Jarník
A functional equation from Vojtěch Jarník! Can you figure it out?
Wojciech kowalczyk
Mar 6
Tricky polynomial problem from Vojtěch Jarník
Tricky polynomial problem from Vojtěch Jarník
A tricky polynomial problem from the Vojtěch Jarník International Mathematical Competition! Do yo have what it takes to solve it?
Wojciech kowalczyk
Mar 4
UK Integration Bee Final 2024 Problem
UK Integration Bee Final 2024 Problem
A problem from the finals of the UK Integration Bee with an extremely satisfying simplification. Can you figure it out?
Wojciech kowalczyk
Mar 2
Can you find the area of the square inscribed in the hexagon?
Can you find the area of the square inscribed in the hexagon?
Given that the side length of a regular hexagon is 1, could you find the area of the square inscribed within it?
Wojciech kowalczyk
Feb 29
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