Mock AIME 1 2013 Problems
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Contents
Problem 1
Two circles 
and 
, each of unit radius, have centers 
and 
such that 
. Let 
be the midpoint of 
and let $C_#$ (Error compiling LaTeX. Unknown error_msg) be a circle externally tangent to both and . and 
have a common tangent that passes through . If this tangent is also a common tangent to and , find the radius of circle .
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
