5 problemas de entrenamiento para olimpiadas de matemáticas. Olimpiadas de matemáticas 2022.

In this video, I present 5 practice problems for math olympiads. These are for both regional and national competitions. I hope you enjoy them :) Don't forget to subscribe!!! :) :) :) Any suggestions for improving my content are welcome :) 0:00 Welcome 0:53 Problem 1 7:47 Problem 2 10:59 Problem 3 14:56 Problem 4 20:17 Problem 5 17:22 Thank you so much Source: Math olympiad practice book from the University of Sonora, Mexico. #matholympiads #matholympiad #IMO #Profecampi You can also find videos on the channel about mathematics in nature, women in mathematics, the history of mathematics... Leave a comment! Cheers! Find more math olympiad problems on the channel! If you'd like to support me: https://paypal.me/profecampi?locale.x... SUBSCRIBE!    / @profecampi   FACEBOOK:   / 427823765182467   INSTAGRAM: #PROFE_CAMPI Problem 1: The figure shows a square with sides of length one. If ∆BMN is an equilateral triangle drawn inside the square as shown in the figure, what is the area of ​​this triangle? Problem 2: Let a_1, a_2, a_3, a_4 be four consecutive integers. Prove that a₁ a₂ a₃ a₄₊₁ is a perfect square. Problem 3: Find the value of the following sum: 1/(√1+√2)+1/(√2+√3)+1/(√3+√4)+⋯+1/(√99+√100) Problem 4: Find the sum of all numbers that are permutations of the digits 1, 2, 3, 4, and 5. This is 12345 + 12354 + ... + 54321. Problem 5: Find all right triangles with one leg and one hypotenuse being integers, knowing that the other leg is equal to √1988. Music credit: Unify by Snowflake (c) copyright 2019 Licensed under a Creative Commons Attribution (3.0) license. http://dig.ccmixter.org/files/snowfla.... Ft: Apoxode