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Problem 202

Geometry Difficulty 1.5 Multiple choice CEMC Gauss (Grade 7) · Canada · 2026

The numbers on the opposite faces of a standard six-sided die
have a sum of 77. Which of the
following is not the net of a standard six-sided die?

Pick one

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Official solution

The net shown in (C) is not the net of a standard
six-sided die.

On a standard six-sided die, the faces containing the numbers 33 and 44 must be opposite one another. In the
net shown in (C), the numbers 33 and
44 are adjacent to one another, and
thus when this net is folded into a die, the face containing the 33 will be adjacent to the face containing
the 44, and so they will not be
opposite one another.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.