Visual reasoning — paper-folding and cutting problems.
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Q1 · Paper Folding and Cutting · EASY
A square sheet of paper is folded once in half and then a circular hole is punched through all the layers. When the paper is unfolded, how many holes will appear on the sheet?
Q2 · Paper Folding and Cutting · MEDIUM
A rectangular sheet of paper is folded twice (first in half, then in half again) to form a smaller rectangle. A triangular piece is cut from one corner through all layers. When the paper is completely unfolded, how many triangular cuts will be visible?
Q3 · Paper Folding and Cutting · MEDIUM
A square paper is folded along its diagonal and then a small square is cut from the folded edge (not the open edges). When unfolded, what shape will the cut-out create on the paper?
Q4 · Paper Folding and Cutting · HARD
A square sheet is folded three times: first in half horizontally, then in half vertically, and then diagonally. A semicircular cut is made from one corner. When the paper is completely unfolded, how many semicircular cuts will appear?
Q5 · Paper Folding and Cutting · HARD
A square sheet of paper is folded twice: first along the diagonal and then along the median of the resulting triangle. A circular hole is punched through all layers. When unfolded, how many holes will appear on the paper?