1999 AMC 8 Problem 8
Below is the professionally curated solution for Problem 8 of the 1999 AMC 8, 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.
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Difficulty rating: 960
8.
Six squares are colored, front and back, (R = red, B = blue, O = orange, Y = yellow, G = green, and W = white). They are hinged together as shown, then folded to form a cube. The face opposite the white face is
B
G
O
R
Y
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
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