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Number Detective

Follow the clues to find the mystery number.

Red Even

You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?

Prime Magic

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?

Diagonal Trace

Age 7 to 11 Challenge Level:

It might help to draw in all the diagonals first, then trace over them with a coloured pencil.
You could print off this sheet which has the shapes and the diagonals drawn for you.
Do you have some sort of system for trying to trace over the diagonals?