**Problems 1-4**

Read the section first and then paraphrase each of the requested paradoxes or theorems are saying.

**Problems 5-6**

Identify a paradox which describes the situation in each problem.

**Problems 7-10**

Remember that with the Adam’s plan the standard quota with a decimal portion is rounded up. These problems are checking to see if the quota rule is violated, as shown in Example 2.

**Problems 11-14**

Remember that with Jefferson’s plan the standard quota with a decimal portion is rounded down. These problems are checking to see if the quota rule is violated, as shown in Example 2.

**Problems 15-18**

Hamilton’s plan rounds down, but then adds seats one at a time. These problems are checking to see if the Alabama paradox occurs. See Example 3.

**Problems 19-22**

Hamilton’s plan rounds down, but then adds seats one at a time. These problems are checking to see if the population paradox occurs. See Example 4.

**Problems 23-26**

Hamilton’s plan rounds down, but then adds seats one at a time. These problems are checking to see if the new states paradox occurs. See Example 5.

**Problems 27-28**

These problems are verifying the Alabama paradox occurs.

**Problems 29-32**

Problems 29 and 31 are apportionment problems. Problems 30 and 32 are deciding if a paradox has occurred.

**Problems 33-36**

Problems 33 and 35 are apportionment problems. Problems 34 and 36 are deciding if a paradox has occurred.

**Problems 37-41**

Problem 37 is finding the standard quota; Problems 38 and 39 are finding quotas, Problem 40 is an apportionment problem, and Problem 41 asks you decide if the quota rule is violated.

**Problems 42-47**

Problems 42-46 are finding quotas and Problem 47 is about the Alabama paradox.

**Problems 48-53**

Problems 48-50 are finding quotas and Problems 51 and 52 are apportionment problems. Problem 53 is asking about the new states paradox.

**Problems 54-56**

Problems 54-55 are apportionment problems, and Problem 56 is asking if you recognize a paradox.

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.

There are many sources for homework help on the internet.

Algebra.help

Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.

http://www.algebrahelp.com/

Quick Math

This site provides online graphing calculators. This is especially useful if you do not have your own calculator.

http://www.quickmath.com/

The Math Forum @ Drexel

This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.

http://mathforum.org/