Mathematics

### What You Should Be Able To Do For Test 2

#### Chapter 3

Divide a cake, pizza, or piece of land between two players by the divider-chooser method. This includes deciding the value of various pieces to the different players.

Divide a cake, pizza, or piece of land among three players by the lone-divider method.

Divide a cake, pizza, or piece of land among four or more players by the lone-divider method, if not too many complications arise.

Divide a cake, pizza, or piece of land among any number of players by the last-diminisher method.

Divide a number of valuable items among several players using the method of sealed bids.

Divide candy pieces, etc., among several players using the method of markers.

#### Chapter 4

Apportion a legislature, etc., using Hamilton's method, Jefferson's method, Webster's method, or the Huntington-Hill method. (For the last three it can be tedious to find the correct divisor. You should at least be able to make a reasonable guess, check whether it works, and say whether your next guess would be higher or lower.)

Explain whether an apportionment violates the Quota Rule or exhibits the Alabama paradox.

#### Personal Help Sheet

You may bring to the test one sheet of paper containing whatever you find helpful.