2022 AMC 8 Problem 8
Attempt Problem 8 of the 2022 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 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
What is the value of:
Answer: B
Small hint:
Most numerator and denominator factors cancel
Big hint:
After cancellation, only remains on top
Solution:
Since every integer from to occurs once as a denominator and once as a numerator, they cancel each other out.
After canceling every number out, we have only and left as numerators and and left as denominators.
The remaining fraction is This simplifies to
Thus, the correct answer is B.
Problem 8 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
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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