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If I lie down and close my eyes, I often get right to sleep. However, doing so sounds dreadful: I want to live! There are a handful of kinds of living that actually make me sleepy though, and one of them is mathy puzzles you can do in your head. Anyone have good ones?
in reply to Katja Grace

curious for existing examples of the thing, both for guiding what responses I think are appropriate and also so I can try using them too :P