2022 AMC 8 Problems/Problem 12
Contents
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?
Solution 1
First, we realize that there are a total of possibilities. Now, we list all of them that can be spun. This includes
and
. Then, our answer is
.
~MathFun1000
Solution 2
There are total possibilities of
. We know
, which
is a number from spinner
, and
is a number from spinner
. Also, notice that there are no perfect squares in the
s or
s, so only
values of N work, namely
and
. Hence,
.
~MrThinker
Video Solution
https://youtu.be/Ij9pAy6tQSg?t=1008
~Interstigation
Video Solution
https://youtu.be/p29Fe2dLGs8?t=58
~STEMbreezy
Video Solution
~savannahsolver
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.