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Both crosses use the digits 1, 2, 3, 4 and 5. 


The left cross has a horizontal total (across) of 12 and a vertical total (down) of 6.

The right cross has a horizontal total of 8 AND a vertical total of 8.

We call the cross on the right a magic cross, because its horizontal total is equal to its vertical total.


Your Task:

Can you find any more magic crosses using the digits 1, 2, 3, 4 and 5?

Can you find all the possibilities?
Can you convince yourself you have found them all?


You can use the interactive resource on this website to test your magic crosses and see if they are correct: 

Extension Tasks

(Try out as many of these as you like!)


Are there any magic crosses that use the numbers 2, 3, 4, 5, 6?
Or 3, 4, 5, 6, 7?
Or 98, 99, 100, 101, 102?

How many magic crosses can you find with the number 50 in the middle?

What if the numbers went up in 2s instead?
Or 3s?
Or 10s, or 20s, or 100s?

Perhaps you have some questions of your own that you would like to explore too!