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2022 Math Kangaroo

Problem 13

Problem 13 · 2022 Math Kangaroo Hard
Spatial & Visual Reasoning folding

Some artwork is drawn on a square piece of transparent foil. The foil is folded over twice, as shown in the diagram. What does the foil look like after it has been folded over twice?

Figure for Math Kangaroo 2022 Problem 13
Show answer
Answer: A
Show hints
Hint 1 of 2
Each fold reflects the visible marks across the fold line onto the layer below.
Still stuck? Show hint 2 →
Hint 2 of 2
Fold once, draw where the marks land, then fold again and combine all layers.
Show solution
Approach: reflect the marks across each fold line
  1. Folding flips the drawn marks across the fold crease onto the part beneath.
  2. Apply the first fold, record the mirrored marks, then apply the second fold and overlay everything.
  3. The combined picture matches option A.
  4. So the answer is A.
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