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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.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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