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2019 Math Kangaroo

Problem 7

Problem 7 · 2019 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningsequence-of-figures

Using the connected sticks shown, Pia forms different shapes. Which shape can she not make?

Figure for Math Kangaroo 2019 Problem 7
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Answer: D
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Hint 1 of 2
Count how many stick segments each outlined shape needs around its border.
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Hint 2 of 2
She only has a fixed number of equal sticks; the shape needing a different number of sticks is the one she cannot build.
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Approach: count sticks needed for each outline
  1. Each side of every shape is built from the equal connected sticks.
  2. Count the stick-lengths in each option's outline.
  3. Four of them use the available number of sticks; one needs a different amount.
  4. The shape she cannot make is D.
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