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2018 Math Kangaroo

Problem 7

Problem 7 · 2018 Math Kangaroo Medium
Spatial & Visual Reasoning path-tracing

To get to his bone, the dog must follow the black line. Along the way he turns 3 times to the right and 2 times to the left. Which path does he take?

Figure for Math Kangaroo 2018 Problem 7
Show answer
Answer: E
Show hints
Hint 1 of 3
Pretend you are the dog walking the line — turn your body at every bend.
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Hint 2 of 3
At each corner say out loud 'right' or 'left', the way the dog would turn while walking forward.
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Hint 3 of 3
Count the rights and the lefts for each path; you want exactly 3 rights and 2 lefts.
Show solution
Approach: walk along each path and count the turns
  1. Imagine walking forward along the line like the dog, facing the way you are going.
  2. At every corner, decide if you turn to your right or to your left, and keep a tally for each path.
  3. Only path E has exactly 3 right turns and 2 left turns.
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