2024 SSMO Relay Round 2 Problems
Problem 1
In a regular hexagon , let
be a point inside the hexagon such that
If the area of the hexagon is
, then
for squarefree
. Find
.
Problem 2
Let If
find the last three digits of
Problem 3
Let A point
is randomly chosen inside the square with vertices
and
. Find the perimeter of the set
containing all points
for which