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Number Detective

Follow the clues to find the mystery number.

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Make 37

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

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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?

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?