Put the nine number cards $$(1,2,3,6,\frac{1}{6},\frac{1}{3},\frac{1}{2}, \frac{2}{3},\frac{3}{2})$$ onto a square $3$ by $3$ grid so that each card occupies one square and the product of every row, column and diagonal is equal to $1$.

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.

You can find more short problems, arranged by curriculum topic, in our short problems collection.