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2019 Math Kangaroo

Problem 22

Problem 22 · 2019 Math Kangaroo Stretch
Spatial & Visual Reasoning net-foldingcube-views
Figure for Math Kangaroo 2019 Problem 22
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Answer: B
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Hint 1 of 3
Fold the patterned card into the 2×1×1 box and keep track of which pattern lands on which face.
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Hint 2 of 3
Note which faces end up next to each other and which face is opposite which.
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Hint 3 of 3
Check each answer picture: the one showing faces that cannot really sit together is the odd one out.
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Approach: fold the net and compare adjacent faces
  1. Fold the marked net into the 2×1×1 box and note the colour of each face and which faces end up adjacent.
  2. Compare each picture's three visible faces with what the folded box actually allows next to each other.
  3. Picture B shows a combination of faces the folded box cannot produce (B).
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