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The Wednesday Morning Math Challenge: Week 14

Dec 14 2016
John Urschel
Baltimore Ravens
Dec 14 2016

Welcome to Week 14 of the Wednesday Morning Math Challenge. You can find solutions to the Week 13 puzzles here, along with — more importantly — discussions of some ways to approach them. Remember that the real goal here is to think creatively.

This week we’re going to play around with a fun mathematical structure that you may have seen before: Magic squares.


A magic square is a square grid with n rows and n columns, filled with distinct numbers from 1 to n^2, such that the sum of the numbers in each row, column, and both long diagonals is the same.

1. Can you come up with a 2×2 magic square?

2. What about a 3×3 magic square?

3. What value does each row, column, and long diagonal need to sum to in a nxn magic square?

John Urschel
Baltimore Ravens