Difference between revisions of "Mock AIME 6 2006-2007 Problems"

(Problem 1)
(Problem 2)
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==Problem 2==  
 
==Problem 2==  
 
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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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