Problem:
What is the number of degrees in the smaller angle between the hour hand and the minute hand on a clock that reads seven o'clock?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The numerals on a clock face divide it into twelve equal sections of . The smaller of the two regions determined by the hands at p.m. covers five of these sections, so the desired angle is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions