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2019 Math Kangaroo

Problem 6

Problem 6 · 2019 Math Kangaroo Easy
Spatial & Visual Reasoning tiling-tessellation
Figure for Math Kangaroo 2019 Problem 6
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Answer: D
Show hints
Hint 1 of 3
Go through the named shapes one at a time: triangle, square, hexagon, octagon, dodecagon.
Still stuck? Show hint 2 →
Hint 2 of 3
For each one, hunt for it in the big tiled picture and tick it off when you find it.
Still stuck? Show hint 3 →
Hint 3 of 3
Four of the five turn up easily — the answer is the single shape you cannot find.
Show solution
Approach: search the tiling for each named polygon
  1. Look through the big tiled picture and tick off each shape you can find.
  2. Triangles, squares, hexagons and octagons all appear among the tiles.
  3. No 12-sided dodecagon appears, so the missing figure is the dodecagon (D).
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