Difference between revisions of "Mock AIME 6 2006-2007 Problems"
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==Problem 2== | ==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? | 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? | ||
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[[Mock AIME 6 2006-2007 Problems/Problem 2|Solution]] | [[Mock AIME 6 2006-2007 Problems/Problem 2|Solution]] | ||
Revision as of 14:16, 30 November 2014
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?