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2015 Math Kangaroo

Problem 1

Problem 1 · 2015 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningcareful-counting

Which shape cannot be seen in every picture? (The five pictures and the answer shapes are shown in the figure.)

Figure for Math Kangaroo 2015 Problem 1
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Answer: D
Show hints
Hint 1 of 2
Go shape by shape (circle, square, triangle) and check whether it appears in all four pictures.
Still stuck? Show hint 2 →
Hint 2 of 2
The answer is the single shape that is missing from at least one of the pictures.
Show solution
Approach: check each shape against every picture
  1. Each picture is built from circles, squares and triangles in different mixes.
  2. Compare the four pictures: every one shows circles and triangles, but the green square is not in all of them.
  3. So the shape that cannot be seen in every picture is the square, choice D.
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