🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2012 Math Kangaroo

Problem 20

Problem 20 · 2012 Math Kangaroo Stretch
Spatial & Visual Reasoning paper-cuttingfoldingreflection
Figure for Math Kangaroo 2012 Problem 20
Show answer
Answer: C
Show hints
Hint 1 of 2
Each fold is a mirror line, so the single cut becomes several cuts when unfolded.
Still stuck? Show hint 2 →
Hint 2 of 2
Reflect the cut corner back across each fold to see where all the holes land.
Show solution
Approach: unfold by reflecting the cut across each fold line
  1. Folding three times stacks the octagon into a triangle, with three mirror lines.
  2. The one corner you cut, reflected back across those folds, produces a symmetric ring of cuts.
  3. Unfolding shows the octagon with the matching missing region of picture C.
Mark: · log in to save