Problem 15 · 2024 Math Kangaroo
Medium
Spatial & Visual Reasoning
path-tracingcareful-counting
Kangaroo Joey hops through a maze. The arrows in a square tell him which way to jump and how far: one arrow means jump to the next square, and three arrows mean jump in that direction skipping two squares and landing in the 3rd square. Joey starts in the bottom-left square (the one with three arrows). Through which exit does he leave the maze?
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Answer: E — through none of the four exits
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Hint 1 of 2
From each square, move the number of steps shown (one, two, or three) in the arrows' direction.
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Hint 2 of 2
Keep following the rule and watch whether Joey ever steps off an edge or just keeps looping.
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Approach: follow the arrow moves and look for a loop
- Start in the bottom-left square and jump in the arrows' direction, the shown number of steps each time.
- Tracing the moves, Joey keeps landing back on squares he has visited.
- He enters a repeating cycle and never lands outside the grid.
- So he leaves through none of the four exits (E).
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