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BMAT 2015 · Question 31 · Spatial

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There are a total of 7 spots on each pair of opposite faces on a conventional die. I have two unconventional dice. They both have faces with 1, 2, 3, 4, 5 and 6 spots, but none of the opposite pairs on either die have a total of 7 spots and all six pairs have a different total. These are two views of one of my dice:

Question diagram

What numbers are opposite 1 and 6 on the other die?