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International Maths Olympiad 2022 - Questions and solutions

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The International Mathematical Olympiad (IMO) is a prestigious annual competition that gathers the world's most brilliant young mathematicians. With a history dating back to 1959, the IMO brings together high school students from over 100 countries to test their mathematical prowess. Contestants face a series of challenging mathematical problems that require creative problem-solving and mathematical insight. The IMO not only celebrates mathematical excellence but also fosters international collaboration and the exchange of mathematical ideas among young minds. It serves as a platform for nurturing the next generation of mathematical talent and promoting a deeper understanding of this fascinating field.

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,
,63rd International Mathematical Olympiad
Oslo, Norway, 6th–16th July 2022




SHORTLISTED
PROBLEMS
WITH SOLUTIONS

, Note of Confidentiality


The Shortlist has to be kept strictly confidential
until the conclusion of the following
International Mathematical Olympiad.
IMO General Regulations §6.6


Contributing Countries

The Organising Committee and the Problem Selection Committee of IMO 2022 thank the
following 50 countries for contributing 193 problem proposals (43 A, 59 C, 52 G, 39 N):

Armenia, Australia, Austria, Belarus, Belgium, Canada, China, Colombia,
Costa Rica, Croatia, Cyprus, Czech Republic, Denmark, Estonia, France,
Georgia, Germany, Ghana, Greece, Hong Kong, India, Indonesia, Iran,
Ireland, Israel, Japan, Kazakhstan, Luxembourg, Mongolia, Netherlands,
Nigeria, North Macedonia, Panama, Philippines, Poland, Romania, Serbia,
Singapore, Slovakia, Slovenia, South Africa, Spain, Taiwan, Thailand,
Trinidad and Tobago, Tunisia, Ukraine, United Kingdom, U.S.A., Vietnam

Problem Selection Committee




Dávid Alexander Betts Márton Borbényi James Cranch Elisa Lorenzo
Kunszenti-Kovács García




Karl Erik Holter Maria-Romina Johannes Kleppe Géza Kós Dmitry Krachun
Ivan




Charles Leytem Sofia Lindqvist Arnaud Maret Waldemar Pompe Paul Vaderlind

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