# Mathematical Methods of Apportionment Chapter Exam

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### Page 1

#### Question 1 1. The Standard Divisor is:

#### Question 2 2. How many times do you need to calculate the modified quota in Webster's Method of Apportionment?

#### Question 3 3. Which of these is found by dividing the total population by the number of seats available?

#### Question 4 4. You are trying to apportion seats for a governing board of a group of retirement homes. There are a total of 150 people living in the 3 retirement homes that create the group. If there are 10 seats on the board and Retirement Home 1 has a population of 60 people, how many seats on the board should they receive?

#### Question 5 5. What does apportionment mean?

### Page 2

#### Question 6 6. How is the Modified Divisor found?

#### Question 7 7. What is an upper quota?

#### Question 8 8. Assign each state its Lower Quota, the in the event that all seats available are not assigned, one additional seat is assigned to each state starting with the state with the highest fractional Standard Quota, until all seats are assigned. This is the definition for what method of apportionment?

#### Question 9 9. Which of the follow is the whole number of the calculated SQ?

#### Question 10 10. What is the Huntington-Hill Method of Apportionment?

### Page 3

#### Question 11 11. How do you calculate the Modified Divisor?

#### Question 12 12. When talking about the problem of apportionment, what does the term 'seats' refer to?

#### Question 13 13. How do you calculate the Standard Quota of a state?

#### Question 14 14. Does the Adams' Method of Apportionment have a bias?

####
Question 15
15.
Consider the following scenario for 3 states (State A, State B, and State C):

Total population = 1500

Seats to be assigned = 20

State A population = 254

State B population = 700

What is the Standard Quota for State C?

### Page 4

#### Question 16 16. How is Jefferson's Method of Apportionment like a forked road?

#### Question 17 17. How is the standard divisor calculated?

#### Question 18 18. When do you need a Modified Divisor?

#### Question 19 19. What is the Quota Rule?

#### Question 20 20. What is an apportionment method?

### Page 5

#### Question 21 21. What is the Modified Lower Quota?

####
Question 22
22.
Consider the following scenario:

Total population = 1500

Seats to be assigned = 20

State A population = 254

What is the Upper Quota for State A?

#### Question 23 23. What is the problem of apportionment?

####
Question 24
24.
Using Webster's Method of Apportionment, what would the sum of the rounded quotas be for the three states in the following scenario?

State A- population 1200

State B- population 1000

State C- population 800

number of seats to be apportioned: 25

#### Question 25 25. Remembering the high school example in the lesson, assume the following population numbers for each class level: Freshman: 120, Sophomore, 200, Junior: 150, Senior 180. There are 20 seats on the student government board. Using Hamilton's Method of Apportionment, which two classes will have their Lower Quota apportioned?

### Page 6

#### Question 26 26. If a state has a standard quota of 43.4957, will it be assigned its upper quota or lower quota based on the Huntington-Hill Method of Apportionment?

#### Question 27 27. Using traditional rounding, which type of quota would be assigned for a standard quota of 35.7?

#### Question 28 28. How is the geometric mean calculated?

#### Question 29 29. How is the modified divisor found in the Huntington-Hill Method of Apportionment?

####
Question 30
30.
What is the Standard Quota of seats to be apportioned in the following scenario?

Total population of 25,000. Number of seats on governing board are 125. Population of geographic region is 1,200.

#### Mathematical Methods of Apportionment Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!