Compete · Slovenia
Odbirno tekmovanje (qualifying round) 2022
1Find all pairs of natural numbers \(a\) and \(b\) that satisfy the equation \[ a^2 - 5ab + 24 = 0 . \]2Farmer Martin has made \(3\) identical bales of hay. The cross-section of each bale is a circle of radius \(r\). He stacks the bales into a pyramid, each bale touching the other two, and stretches a rope …
Work through the paper in order - each problem opens in the workspace with this paper as its trail.