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2020 Math Kangaroo

Problem 18

Problem 18 · 2020 Math Kangaroo Hard
Spatial & Visual Reasoning dice-facescube-views

Amelia glues six stickers onto the faces of a cube. The figure shows this cube in two different positions. Which sticker is on the face opposite the duck?

Figure for Math Kangaroo 2020 Problem 18
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Answer: E
Show hints
Hint 1 of 2
Use the two shown views to find which stickers sit next to the duck.
Still stuck? Show hint 2 →
Hint 2 of 2
Whatever sticker never appears next to the duck in either view sits on the opposite face.
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Approach: find the duck's neighbours, the rest is opposite
  1. Each cube view shows the duck together with some neighbouring faces.
  2. Collect every sticker seen adjacent to the duck across the two pictures - those four are its side faces.
  3. The remaining sticker, the fly, is opposite the duck.
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