Modern Math Quiz - Voting Methods part 2

Modern Math Quiz - Voting Methods part 2

12th Grade

10 Qs

quiz-placeholder

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Modern Math Quiz - Voting Methods part 2

Modern Math Quiz - Voting Methods part 2

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
8.SP.A.4

Standards-aligned

Created by

Linda Miragliotta

Used 2+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Media Image

Based on the preference schedule shown, which school is the winner of the election using Borda Count?

Alaska (A)

Harvard (H)

North Dakota (N)

Vermont (V)

Answer explanation

Media Image

Borda Count: points are assigned to candidates based on their ranking; 1 point for last choice, 2 points for second-to-last choice, and so on. Then the point values for all ballots are totaled, and the candidate with the largest point total is the winner.

2.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Media Image

In the scenario shown, which candidate is the winner of the election using Approval Voting?

John McCain

George Bush

Al Gore

None of the above

Answer explanation

Media Image

Approval Voting: the ballot asks you to mark all choices that you find acceptable. The results are tallied, and the option with the most approval is the winner.

3.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

What is the Borda Count point value assigned to the last choice?

1

2

3

4

Answer explanation

Media Image

Borda Count: points are assigned to candidates based on their ranking; 1 point for last choice, 2 points for second-to-last choice, and so on. The point values for all ballots are totaled, and the candidate with the largest point total is the winner.

4.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Media Image

In the 2000 Presidential Election scenario, how many people wrote down 'Gore, McCain' on their ballot?

20

35

25

None of the above

Answer explanation

Media Image

Approval Voting: the ballot asks you to mark all choices that you find acceptable. The results are tallied, and the option with the most approval is the winner.

Tags

CCSS.8.SP.A.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Media Image

In the City Council election, who is the candidate with the most pairwise wins using Copeland's Method?

Amy

Ben

Cara

Dave

Answer explanation

Media Image

Copeland’s Method: each pair of candidates is compared, using all preferences to determine which of the two is more preferred. The more preferred candidate is awarded 1 point. If there is a tie, each candidate is awarded ½ point. After all pairwise comparisons are made, the candidate with the most points, and hence the most pairwise wins, is declared the winner.

6.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Media Image

What is the total percentage of voters in the Small Seven Athletic Conference election?

100%

35%

20%

30%

Answer explanation

Media Image

Total the number of voters in a preference schedule by adding the numbers of voters at the top of each column.

7.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

How many points are assigned to the second-to-last choice in Borda Count?

1

2

3

4

Answer explanation

Media Image

Borda Count: points are assigned to candidates based on their ranking; 1 point for last choice, 2 points for second-to-last choice, and so on. The point values for all ballots are totaled, and the candidate with the largest point total is the winner.

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