Problem 9 · 2023 Math Kangaroo
Medium
Spatial & Visual Reasoning
tiling-tessellationspatial-reasoning
Using the pieces A, B, C, D and E one can fill this shape completely. Which of the pieces lies on the dot? (Choose from pictures A–E.)
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Answer: E
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Hint 1 of 2
The big shape is an L of unit cells; the five pieces must tile it exactly.
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Hint 2 of 2
Figure out which single piece must cover the marked dot's cell and its neighbours.
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Approach: tile the L-shape and see which piece falls on the dot
- The whole region splits into the five given pieces with no overlaps.
- Tracking which piece must occupy the cell carrying the dot, the only consistent fit is the slanted piece.
- That piece is option E.
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