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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?
 +
 
[[Mock AIME 6 2006-2007 Problems/Problem 2|Solution]]
 
[[Mock AIME 6 2006-2007 Problems/Problem 2|Solution]]
  

Revision as of 13:16, 30 November 2014

Problem 1

Let $T$ be the sum of all positive integers of the form $2^r\cdot3^s$, where $r$ and $s$ are nonnegative integers that do not exceed $4$. Find the remainder when $T$ is divided by $1000$.

Solution

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

Problem 3

Solution

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

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