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2022 Math Kangaroo

Problem 9

Problem 9 · 2022 Math Kangaroo Medium
Spatial & Visual Reasoning path-tracing

The kangaroo wants to visit the koala. On its way it is not allowed to jump onto a square with water. Each arrow shows one jump onto a neighbouring square. Which arrow path is the kangaroo allowed to take?

Figure for Math Kangaroo 2022 Problem 9
Show answer
Answer: C
Show hints
Hint 1 of 2
Put your finger on the kangaroo and follow one arrow at a time, one square per arrow.
Still stuck? Show hint 2 →
Hint 2 of 2
Any path that lands on a blue water square is not allowed, so cross it out; the good path stays on dry land all the way to the koala.
Show solution
Approach: trace each arrow path and reject any that hits water
  1. Start at the kangaroo in the corner and follow each option's arrows, moving one square per arrow.
  2. As soon as a path would land on a blue water square (or leave the grid), cross that option out.
  3. Only path C stays on dry squares the whole way and reaches the koala, so the answer is C.
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