¶ 2022 AMC8 Problem 12
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:
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B.
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D.
E.
Solution:
The smallest possible value of is and the largest possible value is . The only perfect squares in this range are and , both of which are possible values of . There are distinct numbers that can be formed from the spinners, and each number is equally likely. The probability that the number is a perfect square is therefore .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions