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