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2019 Math Kangaroo

Problem 24

Problem 24 · 2019 Math Kangaroo Stretch
Spatial & Visual Reasoning net-foldingpath-tracing
Figure for Math Kangaroo 2019 Problem 24
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Answer: E — Net E.
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Hint 1 of 2
The ant's closed path crosses each shared edge consistently; the marks on adjacent faces must line up when folded.
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Hint 2 of 2
Fold each net mentally and check the curve segments join into one closed loop.
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Approach: fold each net and test that the marks join up
  1. When a net is folded into a cube, the line segments on faces that become adjacent must meet at the shared edge.
  2. Checking each option, only one net has all its segments meeting to form a single closed loop.
  3. That net is E.
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