Problem 16 · 2009 Math Kangaroo
Hard
Spatial & Visual Reasoning
caseworkspatial-reasoning
Which of the following diagrams is impossible to make with the two dominoes shown?
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Answer: E
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Hint 1 of 2
Each domino covers two of the four small squares and shows the same two pip groups.
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Hint 2 of 2
Try to split each picture into two dominoes that each match one of the given dominoes.
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Approach: test whether each 2×2 picture splits into the two given dominoes
- The two given dominoes each show a fixed pair of pip patterns.
- For each option, try to cover its four squares with exactly those two dominoes.
- Four of the pictures can be built this way.
- Picture E cannot be made, so it is the answer.
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