Magic Square Puzzle

Instructions

The objective of this challenge is to find sets of four numbers in this magic square that add up to the magic total of 34.

You can click on the numbers to select them. If you make a mistake you can click on a number to deselect it.

Find 14 different ways of making 34 will earn you a level 1 trophy.

Find 21 different ways to earn a level 2 trophy.

Find 28 different ways to earn a level 3 trophy.

Find 35 different ways to earn a level 4 trophy.

Find 42 different ways to earn a level 5 trophy etc.

Sounds easy? Be careful you do not select a group of four numbers you have already found. Duplicates and incorrect totals will send you back to the beginning!

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

Here is the URL which will take you to the Perfect 4 by 4 Magic Square challenge.

Transum.org/Maths/Puzzles/Magic_Square/

Student Activity

Click the image above to go to the Perfect Magic Square challenge which consists of nine partially completed four by four magic squares waiting for your interaction. Puzzle 1 has ten numbers already in place leaving you just six to drag into the correct cells. Puzzle 9 has only two correctly positioned numbers but give it some thought and you should be able to complete it. Good luck.

 

Richard, Mount Gambier, South Australia

Saturday, July 14, 2018

"When I've found all 86 sets that add up to 34, the puzzle invites me to continue but if I submit another it will either be a repeat of one already found or add up to a different total. So when I've found all 86, shouldn't the puzzle confirm that I've found all of them? (There are 86, aren't there?)."

Transum,

Sunday, July 15, 2018

"Richard, congratulations, you are correct, there are 86 ways altogether. The reason the program didn’t tell you you’d found them all was to test if you knew there were no more. The action to take at that point is to claim your trophy. I will think about changing the program so that you get affirmative feedback when all 86 have been found. Thanks so much for taking the time to comment on this activity."

St John's Abram, Twitter

Friday, May 24, 2019

Cecilia, Barcelona

Monday, May 25, 2020

"We use your puzzle as inspiration to propose this task to students 8 years and older: Magico De Durer We thought that perhaps you would be interested in getting to know it along with another task in which we changed the magical square of Dürer for the one that appears on one of the facades of the "Sagrada Familia" in Barcelona, our city: Magico De La Sagrada Familia."

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Transum.org/go/?to=negativemagic

Extension

Can you create a magic square containing all the prime numbers between 30 and 102?

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