Cuban Mathematical Olympiads Pdf May 2026

By using the search strategies, websites (AoPS, Archive.org, Google Scholar), and Spanish keywords provided in this article, you can build a world-class library of Cuban olympiad problems. Whether you are training for the IMO or simply enjoy the beauty of discrete mathematics, these PDFs are an invaluable resource.

Start with the 1987 National Final. Solve the first geometry problem. You will immediately understand why Cuban mathematics punches so far above its weight. Keywords used: cuban mathematical olympiads pdf, Olimpiada Cubana de Matemática, problemas resueltos, IMO Cuba, Razonamiento Matemático PDF.

| Year | Competition | Why it is valuable | | :--- | :--- | :--- | | | National Final | The year Cuba sent its first IMO team; the problems are historical artifacts. | | 1998 | Iberoamerican OMI (held in Cuba) | The host country's exam. PDFs include both Spanish and Portuguese versions. | | 2005 | National Final | Famously difficult combinatorics problem (pigeonhole principle on a chessboard). | | 2015 | Provincial Phase – Havana | A benchmark for modern problem difficulty. | Problem Classification: What to Expect Inside a PDF When you open a typical cuban mathematical olympiads pdf , you will find three types of problems. The exam is always in Spanish, but the math is universal. Example Problem (translated from a 2010 Provincial Exam): "Let $n$ be a positive integer. Prove that the number $1^n + 2^n + 3^n + 4^n$ is divisible by 5 if and only if $n$ is not divisible by 4."