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'Find a Path' printed from https://nrich.maths.org/
Why do this problem?
This problem is one that requires working systematically because it is necessary to try and improve as you find the way through the network. It is also a good activity for promoting discussion between learners working together.
This sheet, which can be photocopied, gives two copies of the network for working on.
Key questions
Why don't you make a list of the numbers from $1$ to $9$ and cross them out as you go?
Which number can you not use until the end?
Possible extension
Children who do this quickly could find other ways through the network. Can they find all the possible ways?
Possible support
You could suggest crossing out all the numbers from which you can't start.
This sheet gives two copies of the network for working on.