### Bubbling Cauldrons

We will place numbers, starting from the number 1, into our cauldrons. No two numbers in a cauldron can add to another number in the same cauldron. What is the largest number you can place into the two cauldrons without exploding?

Skip to content ### Bubbling Cauldrons

### Digit Sums

### Monty Hall Problem

### Humans, Zombies, & Other Problems Crossing the River

### Magic Squares

### Prejudiced Polygons

### Gerrymandering

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We will place numbers, starting from the number 1, into our cauldrons. No two numbers in a cauldron can add to another number in the same cauldron. What is the largest number you can place into the two cauldrons without exploding?

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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).

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A prize is hidden behind one of three doors. You choose the door where you think the prize is hidden. But before the door is opened, one of the other 2 remaining doors is opened to reveal no prize. You can choose to keep the door you chose earlier or switch to the other remaining door. What should you do?

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A town has recently been plagued by an epidemic of zombies! Luckily, the virus has just started to spread and the infected are able to stave off their hunger for human brains… for now. In fact, they’re willing to work alongside the remaining humans to help them get across a river to safety. Can you get all the humans and zombies across safely?

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Your goal is the place the numbers 1 – 9 in a 3 by 3 grid so each row, column, and diagonal add up to the same magic number. Can you find what this magic number is?

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Triangles and Squares live together in neighborhoods. However, the Polygons all believe two things: “I am unhappy if fewer than 1/3 of my immediate neighbors are like me.” and “I am unhappy if I have no immediate neighbors.”

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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.