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2021 Math Kangaroo

Problem 2

Problem 2 · 2021 Math Kangaroo Easy
Logic & Word Problems path-tracingcareful-counting

How many fish will have their heads pointing towards the ring when we straighten the line?

Figure for Math Kangaroo 2021 Problem 2
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Answer: C — 6
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Hint 1 of 2
Pretend you grab the ring and pull the string straight; each fish stays facing the same way it was tied on.
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Hint 2 of 2
Start at the ring and look at each fish in turn, putting a tick on every fish whose head points back toward the ring.
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Approach: trace the line and count fish whose heads face the ring
  1. Follow the wiggly string starting from the ring and look at each fish one at a time.
  2. Tick the fish whose nose points back toward the ring, and skip the ones whose nose points away.
  3. Counting the ticked fish gives 6.
  4. So the answer is C.
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