1987 AMC 8 Problem 12
Attempt Problem 12 of the 1987 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 1987 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
What fraction of the large by rectangular region is shaded?
Small hint:
The horizontal line splits the rectangle into a top half and a bottom half
Big hint:
The shaded part is the rightmost third of the bottom-right quarter of the rectangle
Solution:
The whole region has area The shaded region is wide and tall, with area
So the shaded fraction is Equivalently, it is of of the whole.
Thus, the correct answer is C .
Problem 12 in other years
- 1985 AMC 8
- 1986 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
- 2005 AMC 8
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- 2007 AMC 8
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