2004 AMC 12A Problem 2
Attempt Problem 2 of the 2004 AMC 12A 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 2004 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
On the AMC each correct answer is worth points, each incorrect answer is worth points, and each problem left unanswered is worth points. If Charlyn leaves of the problems unanswered, how many of the remaining problems must she answer correctly in order to score at least
Answer: C
Small hint:
The blanks already contribute points
Big hint:
Find the smallest number of correct answers whose points each cover the remaining points
Solution:
The unanswered problems are worth points, so Charlyn needs at least more points from correct answers.
Each correct answer is worth points, and the smallest multiple of that is at least is So she needs at least correct answers.
Thus, the correct answer is C.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
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- 1998 AMC 12
- 1999 AMC 12
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- 2001 AMC 12
- 2002 AMC 12A
- 2002 AMC 12B
- 2003 AMC 12A
- 2003 AMC 12B
- 2004 AMC 12B
- 2005 AMC 12A
- 2005 AMC 12B
- 2006 AMC 12A
- 2006 AMC 12B
- 2007 AMC 12A
- 2007 AMC 12B
- 2008 AMC 12A
- 2008 AMC 12B
- 2009 AMC 12A
- 2009 AMC 12B
- 2010 AMC 12A
- 2010 AMC 12B
- 2011 AMC 12A
- 2011 AMC 12B
- 2012 AMC 12A
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- 2013 AMC 12B
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- 2015 AMC 12B
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- 2019 AMC 12A
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- 2020 AMC 12B
- 2021 AMC 12A Spring
- 2021 AMC 12B Spring
- 2021 AMC 12A Fall
- 2021 AMC 12B Fall
- 2022 AMC 12A
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- 2025 AMC 12B