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K. 222. The diagram below shows the nets of four cubes unfolded in a plane. There are line segments painted on the surface of each cube, and these are also shown in the diagram. (No line is drawn along the edges of the cubes.) For which cube will the lines form a closed loop?

(6 points)

This problem is for grade 9 students only.

Deadline expired on 10 November 2009.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. Az $\displaystyle 1$, $\displaystyle 2$, $\displaystyle 4$ számú kockák mindegyikén kapunk zárt töröttvonalat.

Statistics on problem K. 222.
 297 students sent a solution. 6 points: 124 students. 5 points: 36 students. 4 points: 12 students. 3 points: 16 students. 2 points: 57 students. 1 point: 17 students. 0 point: 15 students. Unfair, not evaluated: 20 solutions.

• Problems in Mathematics of KöMaL, October 2009

•  Támogatóink: Morgan Stanley