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Math Latin Square Puzzles

Can you complete each grid so that the letters in the word “MATH” appear only once in each row and column? This logic puzzle is perfect for the first day of math class (or any other day after that)!

math latin square puzzles first day of class.

What are Latin Square Puzzles?

A latin square is a nxn square array where n unique items are arranged so that every item appears exactly once in each column and row.

In a latin square puzzle, your task is to fill in the missing squares of the grid with numbers, letters, or symbols so that each row and column contain every item exactly once.

Example of 4×4 Latin Square

Here’s a sample puzzle and solution to help you understand the goal of this logic puzzle. In this puzzle, each row and column must contain the letters in “MATH = LOVE” exactly one time each.

latin square puzzle example.
Sample Latin Square Puzzle
sample latin square puzzle solution.
Sample Latin Square Puzzle Solution

Each puzzle has a single unique solution.

Math Latin Square Puzzle Instructions

Fill in the missing squares in each grid so that the letters in the word “MATH” appear exactly once in each row and column.

This puzzle packet features four smaller grids on a single page to solve in two different levels of difficulty.

Puzzle Solutions

Puzzle solutions are available on a password-protected solution page. I do not openly post the puzzle answer keys because one of my goals as a resource creator is to craft learning experiences for students that are non-google-able. I want teachers to be able to use these puzzles in their classrooms without the solutions being found easily on the Internet.

Please email me at sarah@mathequalslove.net for the password to the answer key database featuring all of my printable puzzles and math worksheets. I frequently have students emailing me for the answer key, so please specify in your email what school you teach at and what subjects you teach. If you do not provide these details, I will not be able to send you the password.

Not a teacher? Go ahead and send me an email as well. Just let me know what you are using the puzzles for. I am continually in awe of how many people are using these puzzles with scouting groups, with senior adults battling dementia, or as fun activities in their workplace. Just give me enough details so I know you are not a student looking for answers to the puzzle that was assigned as their homework!

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