1999 AMC 8 Problem 8
Attempt Problem 8 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).
8.
Six squares are colored, front and back ( = red, = blue, = orange, = yellow, = green, and = white). They are hinged together as shown, then folded to form a cube. The face opposite the white face is
Answer: A
Small hint:
Fold around the square marked
Big hint:
Track which face lands opposite
Solution:
Consider the cube with the yellow face facing upwards.
Then we can fold the white, green, and orange faces down.
Since the blue face is attached to the green face, it will end up folding backwards.
This means that the blue face will end up facing opposite the white face.
Thus, A is the correct answer.
Problem 8 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
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