Copyright © University of Cambridge. All rights reserved.

'Weekly Problem 20 - 2010' printed from http://nrich.maths.org/

Show menu


The diagram show the net of a regular octohedron.

In a Magic Octahedron, the four numbers on the faces that meet at a vertex add up to make the same total for every vertex. If the letters $F, G, H, J$ and $K$ are replaced with the numbers $2, 4, 6, 7$ and $8$, in some order, to make a Magic Octohedron, what is the value of $G + J$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem