Olympic Magic

The Olympic emblem consists of five overlapping rings containing nine regions.

Place the numbers 1, 2, 3, … 9 in the nine regions so that the total in each ring is the same.

Can you complete the solutions given in the 4 diagrams?

See the Notes for Teachers.

Click here to download the OLYMPIC MAGIC POSTER.

(Problem from University of Sydney Mathematics Enrichment Groups 1999)