2012 AMC 8 Problem 20
Attempt Problem 20 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
20.
What is the correct ordering of the three numbers and in increasing order?
Answer: B
Small hint:
Compare the fractions to .
Big hint:
Write each fraction as plus or minus a small amount.
Video solution:
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Written solution:
The middle fraction is . Also, because , while because . Therefore
Thus, the answer is B .
Problem 20 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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