2006 AMC 8 Problem 10
Attempt Problem 10 of the 2006 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
Jorge’s teacher asks him to plot all the ordered pairs of positive integers for which is the width and is the length of a rectangle with area What should his graph look like?
Answer: A
Small hint:
List the positive integer factor pairs of .
Big hint:
Remember that and are different plotted points when the factors differ.
Solution:
The positive integer factor pairs with are and .
These points form a decreasing set of six points, and only graph A matches them.
Thus, A is the correct answer.
Problem 10 in other years
- 1985 AMC 8
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