2013 AMC 8 Problem 1
Attempt Problem 1 of the 2013 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 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
1.
Danica wants to arrange her model cars in rows with exactly cars in each row. She now has model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?
Answer: A
Small hint:
Find the next multiple of after .
Big hint:
Only one more car is needed to reach that multiple.
Video solution:
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Written solution:
In order for Danica to arrange her model cars in rows of exactly six, the number of model cars she has must be a multiple of six. The smallest multiple of greater than is so she must buy more car to attain this amount.
Thus, A is the correct answer.
Problem 1 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
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
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- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
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- 2012 AMC 8
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