Challenge Level

In the circle of numbers below each adjoining pair adds to make a square number:

For example,

$14 + 2 = 16, 2 + 7 = 9, 7 + 9 = 16$

and so on.

Can you make a similar - but larger - cycle of pairs that each add to make a square number, using all the numbers in the box below, once and once only?

You might find it helpful to print off and cut up these cards of the numbers so you can move them around to try out your ideas.