The picture shows a pattern of hexagons. We draw a new pattern by connecting all the midpoints of any neighbouring hexagons.

Two adjacent dice always have dierent letters. What letter is on the die that cannot be seen on the picture?

There were twelve children at a birthday party. Each child was either 6, 7, 8, 9 or 10 years old, with at least one child of each age. Four of them were 6 years old. In the group the most common age was 8 years old. What was the average age of the twelve children?
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