1. Eleven girls are standing around a circle.  A ball is thrown clockwise around the circle.  The first girl, Ami, starts with the ball, skips the next three girls and throws the ball to the fifth girl, who then skips the next three girls and throws the ball to the ninth girl.  If the pattern continues, including Ami’s initial throw, What is the least number of throws necessary for the ball to return to Ami?

 

 

 

Draw a diagram and follow the pattern.

 

 

It will take 11 throws.