Ten little circles are drawn on a squared board \(4\times4\).
Cut the board into identical parts in such a way that each part contains 1, 2, 3, and 4 drawn circles correspondingly.
Cut a square into a heptagon (7 sides) and an octagon (8 sides) in such a way, that for every side of an octagon there exists an equal side belonging to the heptagon.
Sometimes life can make us do the craziest of things. In this problem you just need to find out how one can cut an \(8\times8\) chessboard into 20 pieces each having the same perimeter and consisting of a whole number of cells.
Cut a rectangle into two identical pentagons.
(a) Cut the rectangle into two identical quadrilaterals.
(b) Cut the rectangle into two identical hexagons.
(c) Cut the rectangle into two identical heptagons.
Can one cut a square into (a) one 30-gon and five pentagons? (b) one 33-gon and three 10-gons?
Can Jennifer draw an octagon and a line passing through two of its vertices in such a way that this line cuts a 10-gon from it?
How can you divide a pancake with three straight sections into 4, 5, 6, 7 parts?
What is the maximum number of pieces that a round pancake can be divided into with three straight cuts?
In Neverland, there are magic laws of nature, one of which reads: “A magic carpet will fly only when it has a rectangular shape.” Frosty the Snowman had a magic carpet measuring \(9 \times 12\). One day, the Grinch crept up and cut off a small rug of size \(1 \times 8\) from this carpet. Frosty was very upset and wanted to cut off another \(1 \times 4\) piece to make a rectangle of \(8 \times 12\), but the Wise Owl suggested that he act differently. Instead he cut the carpet into three parts, of which a square magic carpet with a size of \(10 \times 10\) could be sown with magic threads. Can you guess how the Wise Owl restructured the ruined carpet?