Magic Square Puzzle


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.


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?)."


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

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.

You might like this

Magic Square

Magic Square

This is the interactive version of the basic three by three magic square with six levels of difficulty.

The short web address is:

or this

Unmagic Square

Unmagic Square

This interactive activity is like the magic square puzzle but all of the totals should be different.

The short web address is:

or maybe this

Prime Square

Prime Square

The sum of the three numbers in each row and each column should be a prime number in this square.

The short web address is:


Negative Magic

Negative Magic

Fill in the missing numbers in four partially completed magic squares containing negative numbers.

The short web address is:


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


©1997-2019 WWW.TRANSUM.ORG