## 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/

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.

#### Magic Square

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

Transum.org/go/?to=magic

#### Unmagic Square

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

Transum.org/go/?to=unmagic

#### Prime Square

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

Transum.org/go/?to=psquare

#### Negative Magic

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

Transum.org/go/?to=negativemagic

## Extension

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

For Students:

For All: