A sheet with squares numbered 1 to 8 is folded three times: first the bottom row is lifted over onto the top row, then the right half is lifted over onto the left half, and finally the right half is lifted over onto the left again. Which number is directly under the top square of the pile?

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Accepted Answer

6. Fold 1 gives piles 1–5, 2–6, 3–7, 4–8 (bottom to top). Fold 2 turns the right piles over: 1, 5, 8, 4 and 2, 6, 7, 3. Fold 3 turns the second pile over onto the first: 1, 5, 8, 4, 3, 7, 6, 2. Square 2 is on top and 6 lies directly under it.

A sheet with squares numbered 1 to 8 is folded three times: first the bottom row is lifted over onto the top row, then the right half is lifted over onto the left half, and finally the right half is lifted over onto the left again. Which number is directly under the top square of the pile?

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