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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:

A pentagon has five diagonals (lines drawn between the corners). You can trace over all of the diagonals without lifting your pencil and without going over any more than once. Try it.


Can the same thing be done with a hexagon (6 sides) or with a heptagon (7 sides)?

(Take care to find ALL the diagonals. Drawing a large shape will help.)