Problems

Find all rectangles that can be cut into $13$ equal squares.

Daniel has drawn on a sheet of paper a circle and a dot inside it. Show that he can cut a circle into two parts which can be used to make a circle in which the marked point would be the center.

A square $4\times 4$ is called magic if all the numbers from 1 to 16 can be written into its cells in such a way that the sums of numbers in columns, rows and two diagonals are equal to each other. Sixth-grader Edwin began to make a magic square and written the number 1 in certain cell. His younger brother Theo decided to help him and put the numbers $2$ and $3$ in the cells adjacent to the number $1$. Is it possible for Edwin to finish the magic square after such help?

Is it possible to cut such a hole in $10\times 10c{m}^2$ piece of paper, though which you can step?

Cut a square into $3$ parts which you can use to construct a triangle with angles less than ${90}^{\circ }$ and three different sides.

Does there exist a quadrilateral which can be cut into six parts with two straight lines?

Welcome back! We hope you all had a great summer and now you are ready for the new school year full of fun problems in mathematics. We decided to start with warm-up topic called dissections, so today we will cut various shapes into more elaborate geometric figures in order to reassemble them into a different shape.

Cut the following shape into four equal figures.

Cut the following shape into two equal parts.

The meeting of the secret agents took place in the green house.

Considering the numbers in the windows of the green house, what should be drawn in the empty frame?