Library / CEMC Gauss (Grade 7) /337 of 462

CEMC Gauss (Grade 7), 2000

Algebra Difficulty 2.0 Junior Find the answer Canada

In the diagram, all rows, columns and diagonals have the sum $12$ . What is the sum of the four corner numbers?

(A) $14$ (B) $15$ (C) $16$ (D) $17$ (E) $12$

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.