This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 2

2023 Iran Team Selection Test, 1
Tags: algebra , al
Suppose that $n\ge3$ is a natural number. Find the maximum value $k$ such that there are real numbers $a_1,a_2,...,a_n \in [0,1)$ (not necessarily distinct) that for every natural number like $j \le k$ , sum of some $a_i$-s is $j$. [i]Proposed by Navid Safaei [/i]

2003 Portugal MO, 6
Tags: algebra , natural number , irrational number , al , number theory
Given six irrational numbers, will it be possible to choose three such that the sum of any two of these three is irrational?