Problem 12 · 2016 Math Kangaroo
Stretch
Spatial & Visual Reasoning
tiling-tessellation
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Answer: D
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Hint 1 of 2
Each cardboard piece is a T shape made of 4 squares; try covering each picture with copies of it.
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Hint 2 of 2
See if you can split a shape neatly into T-pieces with no square left over and no overlap.
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Approach: try to cover each shape with copies of the T-piece
- Each piece is a T made of 4 little squares, so Konrad can lay copies of it down (turned any way) to try to fill a shape exactly.
- Four of the shapes can be covered perfectly by such pieces.
- Shape D is the one that cannot be built from the pieces.
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