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2015 Math Kangaroo

Problem 7

Problem 7 · 2015 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracingsequence-of-figures
Figure for Math Kangaroo 2015 Problem 7
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Answer: E
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Hint 1 of 2
Every line skips one point and lands on the next-but-one point.
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Hint 2 of 2
Keep hopping by 2 and check whether you touch all nine points before you come back to 1.
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Approach: trace the step-by-2 path through all nine points
  1. Start at 1 and keep hopping over one point: 1→3→5→7→9→2→4→6→8 and then back to 1.
  2. Counting along, this hopping touches every one of the nine points exactly once before closing up.
  3. Drawing all those lines makes one continuous nine-pointed star, which is picture E.
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