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Found: 5

Problem #PRU-102845

Problems Combinatorics Dissections, partitions, covers and tilings Dissections with certain properties

11–12 2.0

Cutting into four parts. Cut each of the figures below into four equal parts (you can cut along the sides and diagonals of cells).

Problem #PRU-103815

Problems Combinatorics Dissections, partitions, covers and tilings Dissections with certain properties Algebra Word Problems Tables and tournaments Tables and tournaments (other)

11–11 2.0

Cut the board shown in the figure into four congruent parts so that each of them contains three shaded cells. Where the shaded cells are placed in each part need not be the same.

Problem #PRU-103884

Problems Combinatorics Dissections, partitions, covers and tilings Dissections with certain properties Methods Examples and counterexamples. Constructive proofs Algebra Fractions Simple fractions

11–12 2.0

A rectangle is cut into several smaller rectangles, the perimeter of each of which is an integer number of meters. Is it true that the perimeter of the original rectangle is also an integer number of meters?

Problem #PRU-87939

Problems Combinatorics Dissections, partitions, covers and tilings Dissections with certain properties Set theory and logic Set theory Unusual constructions

10–14 2.0

Is it possible to cut out such a hole in a sheet of paper through which a person could climb through?

Problem #PRU-88084

Problems Combinatorics Dissections, partitions, covers and tilings Dissections with certain properties

10–12 2.0

Is it possible to cut a square into four parts so that each part touches each of the other three (ie has common parts of a border)?