Mock AIME 6 2006-2007 Problems
Contents
Problem 1
Let be the sum of all positive integers of the form
, where
and
are nonnegative integers that do not exceed
. Find the remainder when
is divided by
.
Problem 2
Draw in the diagonals of a regular octagon. What is the sum of all distinct angle measures, in degrees, formed by the intersections of the diagonals in the interior of the octagon? Solution