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2011 Math Kangaroo

Problem 19

Problem 19 · 2011 Math Kangaroo Hard
Spatial & Visual Reasoning cube-viewsdice-faces
Figure for Math Kangaroo 2011 Problem 19
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Answer: C
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Hint 1 of 2
Each face you see from the front becomes the opposite face from behind.
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Hint 2 of 2
Opposite faces add to 7, so replace each visible number by 7 minus itself and mirror left-right.
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Approach: turn the tower around using the 7-rule
  1. Seen from behind, every face is the mirror image of the front, and each shown number is replaced by 7 minus it (opposite faces).
  2. Applying this swap-and-mirror to all four dice gives the back view in option C.
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