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Found: 4

Problem #PRU-104001

Problems Combinatorics Partitions Various dissection problems

12–13 2.0

Kai has a piece of ice in the shape of a “corner” (see the figure). The Snow Queen demanded that Kai cut it into four equal parts. How can he do this?

Problem #PRU-32075

Problems Combinatorics Geometry on grid paper Methods Pigeonhole principle Pigeonhole principle (area and volume) Partitions Various dissection problems

12–14 4.0

One corner square was cut from a chessboard. What is the smallest number of equal triangles that can be cut into this shape?

Problem #PRU-87953

Problems Combinatorics Partitions Various dissection problems

10–12 2.0

Is it possible to bake a cake that can be divided by one straight cut into 4 pieces?

Problem #PRU-88235

Problems Geometry Plane geometry Convex and non-convex figures Convex polygons Combinatorics Partitions Various dissection problems

10–13 3.0

A square piece of paper is cut into 6 pieces, each of which is a convex polygon. 5 of the pieces are lost, leaving only one piece in the form of a regular octagon (see the drawing). Is it possible to reconstruct the original square using just this information?