Multiplication Magic Square
Weekly Problem 32 - 2015
Can you work out the missing numbers in this multiplication magic square?
Can you work out the missing numbers in this multiplication magic square?
Problem
Image
In this Multiplication Magic Square, the product of the three numbers in each row, column and diagonal is $1$.
What is the value of $r+s$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: $\frac9{16}$
One way to find it:
Image
Image
Image
Image
Image
Therefore $r+s=\frac{1}{2}+\frac{1}{16}=\frac{9}{16}$