How numbers dance around a clock

Keep adding the same number on a 12-position clock and discover why some jumps visit everything while others get trapped in a tiny loop.

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1 · Predict before revealing the answer

On a 12-position clock labeled 0 through 11, start at 0. Keep adding 5—moving 0 → 5 → 10 → … How many distinct positions will you visit before returning to 0?

Predict, then spin the clock