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2015 Math Kangaroo

Problem 20

Problem 20 · 2015 Math Kangaroo Stretch
Spatial & Visual Reasoning tiling-tessellationspatial-reasoning
Figure for Math Kangaroo 2015 Problem 20
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Answer: A
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Hint 1 of 2
Three equal pieces means each piece has one third of the shape's squares.
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Hint 2 of 2
Try fitting the candidate piece into the figure three times without gaps or overlaps.
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Approach: tile the figure with three congruent pieces
  1. The shape is split into three identical pieces, so each piece covers a third of its squares.
  2. Test each option: only one piece can be placed three times to cover the whole shape exactly.
  3. That piece is option A.
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