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Rotated Square Puzzle

This Rotated Square Puzzle challenges you to place the numbers 1 through 9 in the boxes of the rotated square so that the numbers in each horizontal row form a number which is a horizontal square.

rotated square puzzle

This puzzle is the creation of L.P. Mochalov, and I found it in his book of Totally Tough Brainteasers. This is the same author who created the Star Pentominoes Puzzle and the Three Squared Puzzle that many of you have been using with your students recently.

Rotated Square Puzzle

The trickiest part of this puzzle is being familiar with your three digit perfect squares!

Rotated Square Puzzle

My More Perfect Squares Poster might help out with this.

Rotated Square Puzzle

I also created a larger version of this puzzle. I planned to put disc magnets on it and put it on my dry erase board, but I ran out of magnets!

Large Version of Rotated Square Puzzle

Instead, I’ve been using these magnetic pockets from Charles Leonard to share puzzles with my students that aren’t magnetic.

Puzzle in Magnetic Storage Pocket

Students really enjoy just being able to grab a puzzle off the board and take it to their desk to solve.

Puzzles in Magnetic Storage Pockets

Puzzle Solutions

I intentionally do not share solutions to the puzzles I feature on my website because I strive to provide learning experiences for my students that are not google-able. I would like other teachers to be able to use these puzzles in their classrooms as well without the solutions being easily found on the Internet.

However, I do recognize that us teachers are busy people and sometimes need to quickly reference an answer key to see if a student has solved a puzzle correctly or to see if they have interpreted the instructions properly.

If you are a teacher who is using these puzzles in your classroom, please send me an email at with information about what you teach and where you teach. I will be happy to forward an answer key to you.


Thursday 2nd of June 2022

do you form them through multiplication or addition


Tuesday 26th of April 2022

The solution on the rotated square puzzle doesn't work. 1 is a perfect square, but (5+2= 7, which is not a perfect square), also 7 + 8 + 4 = 19 which is not a perfect square. What am I missing? Can anyone help?