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2023 Math Kangaroo

Problem 7

Problem 7 · 2023 Math Kangaroo Medium
Spatial & Visual Reasoning net-foldingfoldingreflection

Susi folds a piece of paper in the middle. She stamps 2 holes. What does the piece of paper look like when she unfolds it again?

Figure for Math Kangaroo 2023 Problem 7
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Answer: B
Show hints
Hint 1 of 3
The punch goes through both layers, so each hole really makes two holes.
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Hint 2 of 3
When you open the paper, every hole gets a twin on the other side of the fold.
Still stuck? Show hint 3 →
Hint 3 of 3
Each twin sits the same distance from the fold line, like a mirror.
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Approach: each punched hole appears twice, mirrored across the fold
  1. Because the paper is folded, the punch cuts through both halves at once.
  2. So when Susi opens it, each of the 2 holes has a matching twin mirrored across the fold line.
  3. That gives 4 holes in mirror-image positions, which is the picture in option B.
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