Problem 8 · 2018 Math Kangaroo
Easy
Spatial & Visual Reasoning
tiling-tessellationspatial-reasoning
Using the two tiles shown, Robert makes different patterns. How many of the patterns shown below can he make?
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Answer: D — 4
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Hint 1 of 2
Robert may turn the tiles any way he likes, so try to trace the two tile shapes onto each pattern.
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Hint 2 of 2
A pattern works only if you can colour it in completely using copies of the tiles with no gaps and no overlaps.
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Approach: try to cover each shown pattern by tracing copies of the two tiles, turning them as needed
- Take the two tile shapes and imagine laying copies of them (turned any way) onto each pattern.
- A pattern is buildable only if the tiles fill it exactly — no empty squares and no overlaps.
- Four of the five patterns can be made this way, so the answer is 4, choice D.
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