Problem:
The arrows on the two spinners shown below are spun. Let the number equal times the number on Spinner , added to the number on Spinner . What is the probability that is a perfect square number?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
This is the same problem as if we made spinner make the tens digit and spinner make the ones digit. If the tens digit is or , and the ones digit is or , the only possible ways to get a perfect square are or . There are possible combinations that are equally likely, and of them satisfy the property. Therefore, our answer is .
Thus, the answer is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions