Kit Library / Social Studies / Civics & Government

⚡ Topic Learning Kit

STV Basics

English 19 leveled MCQs 18 flashcards 6 games Free

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💡 Key Idea

What is STV?

One vote, many choices, fair results.

Single Transferable Vote (STV) is a proportional representation system where voters rank candidates by preference. Instead of just picking one, you order candidates from favorite to least favorite. If your top choice is eliminated or already has enough votes, your vote transfers to your next preference. Thi…

↳ STV makes every vote count by letting it move to your next choice.

⚙️ Process

How STV Counting Works

Follow the vote transfers step by step.

↳ STV repeats transfer and elimination until every seat is decided.

➗ Formula

The Quota Formula

How many votes do you need to win?

↳ The quota ensures no more winners than seats.

✏️ Example

STV in Action: 2 Seats

A small example makes it clear.

Imagine 100 voters electing 2 seats. Quota = floor(100/3)+1 = 34. Candidates A, B, C, D run.

↳ Surplus and eliminated votes flow to other candidates.

⚖️ Comparison

STV vs. First-Past-the-Post

How STV differs from simple plurality.

↳ STV aims for proportional representation, unlike FPTP.

🌍 Real World

Where is STV Used?

Real places, real elections.

↳ STV is used in several countries for fair representation.

⚠️ Common Mistake

Ranking Too Few Candidates

Don't stop at your favorite.

↳ Rank more to keep your vote alive.

💡 Key Idea

Surplus Transfers

Extra votes don't go to waste.

When a candidate exceeds the quota, the surplus (votes above quota) is transferred to the next preferences on those ballots. This ensures that as many votes as possible help elect someone.

↳ Surplus votes are redistributed, not discarded.

🎯 Exam Tip

Remember the Quota

Quota is the key number.

In exams, always calculate the quota first. Then track transfers carefully. Practice with small numbers to avoid mistakes.

↳ Quota calculation is the first step in any STV problem.

❓ Did You Know

Invented in the 19th Century

A system with a long history.

STV was invented independently by Thomas Hare in England and Carl Andræ in Denmark in the 1850s. It has been used for over 150 years.

↳ STV is a time-tested electoral method.

🔗 Analogy

STV as a Dinner Party

Think of choosing a menu.

Imagine a group ordering pizzas. Everyone ranks toppings. If the most popular choice is already ordered, your vote goes to your next favorite topping. This way, the final order reflects everyone's preferences as much as possible.

↳ STV is like ranking your pizza toppings to get a fair mix.

✅ Best Practice

For Voters: Rank Sincerely

Honest ranking is the best strategy.

In STV, you don't need to worry about 'wasting' your vote. Rank candidates in your true order of preference. There's no advantage to strategic voting.

↳ Vote your true preferences in STV.

Smart notes

What you'll study, topic by topic

1

Single Transferable Vote (STV) Explained

8 min

The Single Transferable Vote (STV) is a proportional representation electoral system where voters rank candidates by preference. Votes are transferred from surplus or eliminated candidates to ensure every vote helps elec…

  • STV is a proportional system using multi-member districts.
  • Voters rank candidates in order of preference.
  • A quota is calculated to determine the number of votes needed to win a seat.

Full explanation, worked examples & memory tricks in the app

Leveled MCQ practice

Try the smart MCQs from this kit

All 19 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.

Warm-up · 6 questions

Q1. What is the primary goal of the Single Transferable Vote (STV) system?

Beginner
A To achieve proportional representation in multi-member districts
B To elect a single candidate per district
C To eliminate the need for political parties
D To ensure the winning candidate has a majority of first-preference votes
Show the answer

A · To achieve proportional representation in multi-member districts

STV is designed to produce proportional representation in multi-member districts, ensuring that the distribution of seats reflects the distribution of votes among parties or groups.

Q2. In STV, what is a 'quota'?

Beginner
A The maximum number of candidates a party can field
B The minimum number of votes a candidate needs to be elected
C The number of seats in the district
D The total number of valid votes cast
Show the answer

B · The minimum number of votes a candidate needs to be elected

The quota is the minimum number of votes required for a candidate to be elected. A common formula is the Droop quota: (total valid votes / (seats + 1)) + 1.

Q3. Which of the following is a key feature of STV?

Beginner
A Voters can vote for multiple candidates equally
B Voters vote for a party list
C Voters rank candidates in order of preference
D Voters vote for a single candidate only
Show the answer

C · Voters rank candidates in order of preference

STV uses preferential voting: voters rank candidates in order of preference (1, 2, 3, etc.). This ranking enables the transfer of votes.

Q4. STV is typically used in which type of electoral district?

Beginner
A National districts only
B Districts with no fixed boundaries
C Multi-member districts
D Single-member districts
Show the answer

C · Multi-member districts

STV requires multi-member districts to achieve proportionality. Each district elects multiple representatives, allowing for a more proportional outcome.

Q5. In STV, what is the first step in the counting process?

Beginner
A Count first-preference votes
B Eliminate the lowest-scoring candidate
C Calculate the quota
D Transfer surplus votes
Show the answer

A · Count first-preference votes

The counting process begins by counting all first-preference votes. Then the quota is calculated, and candidates who reach the quota are elected.

Q6. STV is a form of proportional representation.

Beginner
A True
B False
Show the answer

A · True

STV is designed to produce proportional outcomes, where the share of seats roughly matches the share of votes for each party or group.

Building up · 10 questions

Q7. How are surplus votes of an elected candidate transferred in STV?

Intermediate
A They are transferred to the candidate's party
B They are kept for the next round
C They are discarded
D They are transferred to the next preferred candidate on the ballot papers
Show the answer

D · They are transferred to the next preferred candidate on the ballot papers

Surplus votes (votes above the quota) are transferred to the next preferred candidate on each ballot paper, ensuring that votes are not wasted and that the proportionality is maintained.

Q8. What happens to the votes of a candidate who is eliminated in STV?

Intermediate
A They are added to the quota
B They are discarded
C They are re-counted from scratch
D They are transferred to the next preferred candidate on each ballot
Show the answer

D · They are transferred to the next preferred candidate on each ballot

When a candidate is eliminated, their votes are transferred to the next preferred candidate on each ballot paper who is still in the race, ensuring that votes continue to influence the outcome.

Q9. What is the Droop quota formula?

Intermediate
A (Total votes / (Seats + 1)) + 1
B (Total votes / Seats) - 1
C (Total votes / Seats) + 1
D (Total votes / (Seats - 1)) + 1
Show the answer

A · (Total votes / (Seats + 1)) + 1

The Droop quota is calculated as (Total valid votes / (Seats + 1)) + 1. This ensures that only the number of candidates equal to the seats can reach the quota.

Q10. In STV, what does 'transferable' refer to?

Intermediate
A The ability of the electoral commission to transfer votes to ensure proportionality
B The ability of political parties to transfer votes between candidates
C The ability of voters to transfer their vote to another candidate if their preferred candidate is elected or eliminated
D The ability of candidates to transfer their votes to other candidates
Show the answer

C · The ability of voters to transfer their vote to another candidate if their preferred candidate is elected or eliminated

The 'transferable' aspect means that if a voter's first choice is elected with surplus or eliminated, their vote is transferred to their next preference, so it is not wasted.

Q11. Which of the following is a potential advantage of STV?

Intermediate
A It simplifies the ballot for voters
B It ensures a single-party majority government
C It minimizes wasted votes
D It guarantees a two-party system
Show the answer

C · It minimizes wasted votes

STV reduces wasted votes because votes are transferred to other preferred candidates, so even if a voter's first choice loses, their vote can still help elect another candidate.

Q12. What happens if no candidate reaches the quota after the first count?

Intermediate
A The quota is lowered
B The candidate with the fewest votes is eliminated
C The candidate with the most votes is declared elected
D A new election is held
Show the answer

B · The candidate with the fewest votes is eliminated

If no candidate reaches the quota, the candidate with the fewest votes is eliminated, and their votes are transferred to the next preferences. This process continues until all seats are filled.

Q13. Which of the following is a real-world example of STV usage?

Intermediate
A United Kingdom general elections
B Irish general elections
C French presidential elections
D United States presidential elections
Show the answer

B · Irish general elections

Ireland uses STV for its general elections to the Dáil (lower house). Other examples include Malta and the Australian Senate.

Q14. What is a potential disadvantage of STV?

Intermediate
A It is complex for voters to understand and count
B It gives too much power to political parties
C It can lead to disproportional outcomes
D It encourages tactical voting
Show the answer

A · It is complex for voters to understand and count

STV can be complex because voters must rank multiple candidates, and the counting process involves transfers and quotas, which may be difficult for some voters to understand.

Q15. In STV, what is a 'surplus'?

Intermediate
A The number of votes that are invalid
B The number of votes a candidate needs to reach the quota
C The number of votes a candidate receives above the quota
D The number of seats left to fill
Show the answer

C · The number of votes a candidate receives above the quota

A surplus is the excess of votes a candidate receives over the quota. These surplus votes are transferred to other candidates according to the voters' next preferences.

Q16. What is the purpose of transferring surplus votes in STV?

Intermediate
A To allow parties to control the outcome
B To ensure that all votes have equal weight
C To eliminate candidates more quickly
D To increase the quota
Show the answer

B · To ensure that all votes have equal weight

Transferring surplus votes ensures that votes are not wasted and that each vote has as close to equal weight as possible, contributing to proportionality.

Topper level · 3 questions

Q17. How does STV differ from the Alternative Vote (AV) system?

Advanced
A STV does not use preferences; AV does
B STV is a plurality system; AV is a majority system
C STV uses multi-member districts; AV uses single-member districts
D STV is used in single-member districts; AV is used in multi-member districts
Show the answer

C · STV uses multi-member districts; AV uses single-member districts

AV is used in single-member districts, while STV is used in multi-member districts. Both use preferential voting, but STV aims for proportional representation.

Q18. Which of the following is a necessary condition for STV to work effectively?

Advanced
A Voters must be able to rank candidates
B A single national district
C A two-party system
D Compulsory voting
Show the answer

A · Voters must be able to rank candidates

STV relies on voters ranking candidates in order of preference. Without this, transfers cannot occur, and the system would not function as intended.

Q19. In STV, a candidate can be elected without reaching the quota if all other candidates are eliminated.

Advanced
A True
B False
Show the answer

A · True

In the final round, if only one candidate remains and seats are still open, that candidate is elected even if they haven't reached the quota, because there is no one else to transfer votes to.

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