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2014 Math Kangaroo

Problem 26

Problem 26 · 2014 Math Kangaroo Stretch
Spatial & Visual Reasoning cube-views
Figure for Math Kangaroo 2014 Problem 26
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Answer: A
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Hint 1 of 2
Each cube carries a curved mark; figure out how each cube must be turned so the four together show the front circle.
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Hint 2 of 2
Once the cubes' orientations are fixed, read off what those same faces show from behind.
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Approach: fix each cube's orientation from the front view, then look from behind
  1. The four cubes must be turned so that their front faces combine into the black circle shown.
  2. That orientation determines the pattern on each cube's back face as well.
  3. Reading the back faces together gives the small central diamond pattern.
  4. The back view is A.
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