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2019 Math Kangaroo

Problem 11

Problem 11 · 2019 Math Kangaroo Medium
Spatial & Visual Reasoning sequence-of-figuresspatial-reasoning
Figure for Math Kangaroo 2019 Problem 11
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Answer: A
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Hint 1 of 3
The yardstick is one chain of 10 equal pieces joined end to end, so every shape uses all 10 segments.
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Hint 2 of 3
Walk along each outline and count how many equal segments it is made of.
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Hint 3 of 3
The shape she cannot make is the one whose segment count is not 10.
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Approach: count edges; the path must use exactly 10 pieces
  1. The yardstick is one connected chain of 10 equal pieces, so any shape she folds must be drawn with exactly 10 equal segments.
  2. Trace each picture and count its segments: four of them come out to 10 segments and can be made.
  3. Figure A needs a number of segments other than 10, so she cannot make it (A).
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