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Five Circles Puzzle

This number-placing logic puzzle called “Five Circles” focuses on making the numbers on each circle in the diagram add up to 22.

five circles math logic puzzle with movable pieces.

Instructions

Place the numbers 1-9 on the circular spaces so that the sum of the four numbers on each circle is equal to 22. Four numbers have already been placed for you.

screenshot of five circles math puzzle.
movable pieces for five circles math puzzle.

Puzzle Source

This puzzle is from a collection of 199 different mathematical puzzles offered as a free resource from IREM de Lyon. This is a top-notch puzzle resource if you speak French.

I sadly do not speak French, but I was able to use the Google Translate app to translate quite a few of the puzzle instructions in order to use them in my classroom. Other puzzles I typed up from this same resource is the U Sums Puzzle, Magic H Puzzle, Lines of 3 Puzzle, 4 x 4 Checkered Square Puzzle, Equal Sums Puzzle, Square Sums Puzzle, and the very popular Loops Puzzle.

five circles math logic puzzle.

This specific puzzle is #12 – Vingt-deux!.

Printing and Prepping the Puzzle

This puzzle is designed to print on letter-sized 8.5 x 11 inch paper, but you could easily scale it to print on A4 paper as well.

The number tile cards are designed to be printed on colored paper or cardstock. I like printing on Astrobrights paper to give my activities a pop of bright color.

You could also forego the number tile cards and slide the puzzle in a dry erase pocket and simply have the students write in the digits 1-9 by hand. The benefit of the tiles is that students can easily see what numbers they have and have not used yet.

MATH = LOVE RECOMMENDS…

dry erase pockets

I cannot imagine teaching math without my dry erase pockets! They instantly make any activity more engaging and save me countless hours at the copy machine since I can use the same class sets of copies year after year.

Here are my current go-to recommendations:

I used this puzzle in my classroom as one of my Puzzles of the Week. I prepared several copies of the puzzle and hung it on my dry erase board using a magnetic pocket which I picked up from Amazon. They have been a real game-changer in my classroom organization!

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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