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Belgium Math Olympiad Problems 1989 by Okla is a document available to read on EtoBox.

This document contains 4 problems from the Flanders Math Olympiad in 1989. Problem 1 asks to show that any subset of 55 numbers from 1 to 100 contains at least 2 numbers with a difference of 9. Problem 2 asks for the ratio of the areas of an inner and outer regular pentagon formed by drawing all diagonals of the outer pentagon. Problem 3 relates the absolute values of the tangent and cotangent of an angle to a condition involving pi. Problem 4 asks to prove a function f(x) is equal to x for all positive rea

Author

Okla

Language

EN