1998 AMC 8 Problem 13
Attempt Problem 13 of the 1998 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 1998 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale.)
Answer: C
Small hint:
Extend the grid lines in the large square.
Big hint:
The shaded square is made from four half-unit squares.
Solution:
Extend the figure to a by grid as shown:
The large square consists of unit squares. The shaded square is made from four half-unit squares, so its area is Therefore, the required ratio is
Thus, the correct answer is C .
Problem 13 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
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
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