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2012 Math Kangaroo

Problem 16

Problem 16 · 2012 Math Kangaroo Medium
Spatial & Visual Reasoning transformationsspatial-reasoning
Figure for Math Kangaroo 2012 Problem 16
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Answer: A
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Hint 1 of 2
When a coin rolls around an equal coin, it spins faster than you might expect.
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Hint 2 of 2
Rolling halfway around an equal-sized coin turns the rolling coin a full turn, so its picture comes back upright.
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Approach: rolling-coin (one full turn over a half-trip)
  1. A coin rolling around another coin of the same size makes one extra spin for every half-trip around it.
  2. Going to the position shown, the upper coin completes one whole rotation.
  3. So its picture ends up the same way up as it started, which is position A.
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