Problem 1 · 2010 Math Kangaroo
Easy
Spatial & Visual Reasoning
path-tracing

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Answer: E
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Hint 1 of 2
The road piece has to join the cat to the milk and the mouse to the cheese, yet keep those two routes from ever touching.
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Hint 2 of 2
Look at which sides of the missing square each road must enter and leave, then find the piece whose roads connect exactly those sides without crossing.
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Approach: match the road piece to the required connections
- The cat must reach the milk, and the mouse the cheese, but the two animals' paths must stay separate.
- So the missing piece needs two roads that link the correct opposite sides while never meeting in the middle.
- Only the curved piece E carries the two routes past each other without letting them join.
- So the piece is E.
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