Problem 3 · 2014 Math Kangaroo
Easy
Spatial & Visual Reasoning
spatial-reasoning
For which houses were exactly the same building blocks used?
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Answer: A — House 1 and 4
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Hint 1 of 3
For each house, make a little list of the blocks it is built from (the roof, the squares, and so on).
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Hint 2 of 3
Two houses match only if their lists are the same, even when the blocks are stacked in a different order.
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Hint 3 of 3
Compare the lists two houses at a time and find the pair that is exactly the same.
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Approach: list each house's blocks and find the matching pair
- For every house, count how many of each kind of block it uses.
- Now compare the houses: you are looking for two whose collections of blocks are exactly the same.
- House 1 and House 4 turn out to use the very same set of blocks, just placed differently.
- Answer: House 1 and 4.
Mark:
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