Consider 1309 voters which are to be divided into 11 voting districts of 119 each.
1) If the voting districts are constructed against a party, what is the fewest number of voters they need in order to have
i) at least one representative
ii) a majority (6) of the representatives
iii) all of the representatives
2) If the voting districts are constructed in favor of a party, what is the
fewest number of voters they need in order to have
i) at least one representative
ii) a majority (6) of the representatives
iii) all of the representatives
3) i) If a party has 407 voters, what is the fewest number of representatives it could have? The greatest number of representatives it could have?
ii) If a party has 807 voters, what is the fewest number of representatives it could have? The greatest number of representatives it could have?
B) At-large voting
1) If there are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 1 representative if each voter has one vote?
ii) How many voters do they need to elect 1 representative if each voter has 5 votes?
iii) How many voters do they need to elect 1 representative if each voter has 7 votes?
iiii) How many voters do they need to elect 1 representative if each voter has 11 votes?
2) If there are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 6 representatives if each voter has one vote?
ii) How many voters do they need to elect 6 representatives if each voter has 5 votes?
iii) How many voters do they need to elect 6 representatives if each voter has 7 votes?
iiii) How many voters do they need to elect 6 representatives if each voter has 11 votes?
3) If there are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 11 representatives if each voter has one vote?
ii) How many voters do they need to elect 11 representatives if each voter has 5 votes?
iii) How many voters do they need to elect 11 representatives if each voter has 6 votes?
iiii) How many voters do they need to elect 11 representatives if each voter has 11 votes?
4) If there are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 4 representatives if each voter has six votes?
ii) How many voters do they need to elect 8 representatives if each voter has six votes?
5) If there are 1309 voters and 11 candidates will be elected, if a faction has 550 voters, how many candidates can it get elected if
i) there is one vote per voter?
ii) there are 3 votes per voter?
iii) there are 6 votes per voter?
iiii) there are 11 votes per voter?
W
C) Proportional voting (one vote per voter)
1) If their are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 1 representative?
ii) How many voters do they need to elect 6 representatives?
iii) How many voters do they need to elect 11 representatives?
D) Cumulative voting (11 votes per voter)
1) If their are 1309 voters and 11 candidates will be elected,
i) How many voters do they need to elect 1 representative?
ii) How many voters do they need to elect 6 representatives?
iii) How many voters do they need to elect 11 representatives?
January 2015
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