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# Diagonal Trace

### Why do this
problem?

### Key questions

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

This challenge is accessible to all pupils - everyone can have
a go - but explaining why it is impossible with certain shapes is
more difficult. It is a good context in which to encourage pupils
to make conjectures and to verify them.

Do you have a system fortrying to trace over the
diagonals?

What do the shapes that work have in common?

Which other shapes do you think it will work for?

The problem
Networks and Nodes would be a good follow-up challenge to this
one.

This
sheet , with six of each shape and their diagonals drawn, will
be useful to print off for some pupils.

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

How many different sets of numbers with at least four members can you find in the numbers in this box?