Connecting Mathematicians of All Ages

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### Digit Sums

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In these puzzles, there are circles with numbers and empty circles. The goal is to put whole numbers in empty circles so that each circle has the sum of the digits of numbers connected to it. This is done by adding all the digits you see of each number (the digits of 18 are 1 and 8).

### Frogs and Toads

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Frogs can only move right, or down, and toads can only move left, or up. Can you exchange all the frogs and toads? Can you create a formula for the fewest number of moves? This deceptively simple puzzle starts with a row of frogs and toads, then advances to a grid. The game can be played with manipulatives, online, or even with people to provide an engaging, solitary or cooperative activity for all ages.

### Gerrymandering

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Merriam Webster defines gerrymandering as “the practice of dividing or arranging a territorial unit into election districts in a way that gives one political party an unfair advantage in elections.” This activity tries to make sense of that definition using a few examples.

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