2009 AMC 8 Problem 4
Attempt Problem 4 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
The five pieces shown below can be arranged to form four of the five figures below. Which figure cannot be formed?
Answer: B
Small hint:
Look for a feature in the five pieces that must appear in the final figure.
Big hint:
The long -square piece must fit as an unbroken segment somewhere.
Solution:
Note that option B does not have any segments in it that are blocks long. This means that it is impossible to arrange the block long piece to fit within the figure.
Thus, B is the correct answer.
Problem 4 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
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