1999 AMC 8 Problem 20
Attempt Problem 20 of the 1999 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 1999 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
20.
Figure is called a “stack map.” The numbers tell how many cubes are stacked in each position. Fig. shows these cubes, and Fig. shows the view of the stacked cubes as seen from the front.
Which of the following is the front view for the stack map in Fig.
Answer: B
Small hint:
A front view keeps only the taller stack in each column
Big hint:
For each column, take the larger front/back height
Solution:
Note that the height of the column is the maximum height of the front and back columns.
In the left column, we have that the back column is taller with height
In the middle column, we have that the front column is taller with height
Finally, the right column has height
Thus, B is the correct answer.
Problem 20 in other years
- 1985 AMC 8
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