Problem 5 · 2019 Math Kangaroo
Easy
Spatial & Visual Reasoning
dice-facescube-views
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Answer: E
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Hint 1 of 3
On a real die, opposite faces always add to 7 (1-6, 2-5, 3-4).
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Hint 2 of 3
Also, the faces 1, 2 and 3 meet at one corner in a fixed turning order on every standard die.
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Hint 3 of 3
Check each picture: its three visible faces must be able to sit around one corner of a standard die.
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Approach: check the visible faces against a standard die
- On an ordinary die opposite faces sum to 7 (1-6, 2-5, 3-4), and the three faces around one corner follow a fixed orientation.
- Reject any picture whose three visible faces could not all sit around one corner of a standard die.
- Only picture E shows three faces consistent with a genuine ordinary die.
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