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Problem of the Week
Problem C
Face to Face

A regular six-sided die has faces labelled with \(1, 2, 3, 4, 5\), and \(6\) dots. The number of dots on opposite faces add to seven. For example, the face with \(2\) dots is opposite the face with \(5\) dots.

The four regular dice shown have been placed so that, for any two adjacent dice, the number of dots on the faces that are facing each other always add to nine. How many dots are on the face labelled \(C\)?

Three dice are placed side by side with a fourth die placed on the front face of the third die. On the first die, the front face has 5 dots and the top face has 4 dots. None of the faces on the second die have dots. On the third die, the top face has 4 dots. On the fourth die, the front face has the letter C and the right face has 5 dots.

Theme: Number Sense