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?

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Answer: E
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Hint 1 of 2
Use the two shown views to find which stickers sit next to the duck.
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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
- Each cube view shows the duck together with some neighbouring faces.
- Collect every sticker seen adjacent to the duck across the two pictures - those four are its side faces.
- The remaining sticker, the fly, is opposite the duck.
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