Problem 8 · 2025 Math Kangaroo
Medium
Spatial & Visual Reasoning
dice-faces
If you add up the numbers on two opposite faces of a die, you always get 7. Which of the pictures can show such a die?
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Answer: A
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Hint 1 of 2
On a real die you can never see two opposite faces at once.
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Hint 2 of 2
Check that no visible pair adds to 7 (1 and 6, 2 and 5, 3 and 4 cannot both show).
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Approach: rule out dice that show two opposite faces together
- Opposite faces sum to 7, so you can never see both of a pair (1-6, 2-5, 3-4) at the same time.
- Check the three visible faces in each picture for a forbidden pair.
- Only option A shows three faces that can truly be adjacent.
- So the valid die is A.
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