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Number Detective

Follow the clues to find the mystery number.

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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?

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Diagonal Trace

You can trace over all of the diagonals of a pentagon without lifting your pencil and without going over any more than once. Can the same thing be done with a hexagon or with a heptagon?

Magic Vs

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

You could use this sheet to record your magic Vs.
Have a go at putting the numbers into the V and then adding up each arm. Perhaps you can adjust the arrangement slightly to make the totals the same?
What do you notice about the number at the base of the V in all your magic Vs?