After a square sheet is folded along one diagonal and then along the other, a small triangle remains. Three holes are punched: one centred exactly on the corner where the two folds meet and two inside the triangle. How many holes does the opened sheet have?

Question

Accepted Answer

9. The corner where both creases meet is the centre of the sheet, so that punch opens into a single hole: 1. Each of the other two goes through all 4 layers: 2 × 4 = 8 . Total 1 + 8 = 9 .

After a square sheet is folded along one diagonal and then along the other, a small triangle remains. Three holes are punched: one centred exactly on the corner where the two folds meet and two inside the triangle. How many holes does the opened sheet have?

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