Problem:
Initially, a spinner points west. Chenille moves it clockwise  revolutions and then counterclockwise  revolutions. In what direction does the spinner point after the two moves?

Answer Choices:
A. north 
B. east 
C. south 
D. west 
E. northwest 
Solution:
Ignore the number of complete revolutions because they do not affect direction. One-fourth of the distance around the circle clockwise from west is north. Three-fourths of the distance counter clockwise around the circle from north is east. Chenille's spinner points east.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions