Paper Folding — Prelims Questions

A square piece of paper is folded diagonally, then folded diagonally again perpendicular to the first fold. A small triangular cut is made at the corner where all folds meet. When unfolded completely, how many triangular holes will appear?

A rectangular paper is folded in half horizontally, then folded in half vertically. A circular punch is made exactly at the center of the folded paper. How many circular holes will appear when the paper is completely unfolded?

A square paper is folded diagonally once. A semicircular cut is made along the folded edge (not at the corner). When unfolded, what pattern will appear?

A rectangular paper is folded vertically in half, then the top corner is folded down diagonally. A small square cut is made through all layers at the intersection of folds. How many square holes appear when fully unfolded?

A square paper is folded horizontally, then vertically, creating four equal sections. A triangular cut is made at the corner where no folds meet (free corner). How many triangular holes will appear when unfolded?