Kit Library / Social Studies / Civics & Government

⚡ Topic Learning Kit

STV Basics

English 19 leveled MCQs 18 flashcards 6 games Free

Shared by a Veda learner · Generated with Veda AI

Veda Bites

The whole idea, one bite at a time

Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. The bites below come from this kit — swipe through them in the app.

💡 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 winner in a plurality contest
C To eliminate the need for political parties
D To ensure the candidate with the most first-preference votes wins
Show the answer

A · To achieve proportional representation in multi-member districts

STV is designed to produce proportional representation in multi-member districts by electing multiple representatives who reflect the diversity of voter preferences.

Q2. In STV, what does a voter do on their ballot?

Beginner
A Rank candidates in order of preference
B Approve or disapprove each candidate
C Choose a party list
D Vote for only one candidate
Show the answer

A · Rank candidates in order of preference

STV uses a preferential ballot where voters rank candidates (1, 2, 3, etc.) to indicate their order of choice.

Q3. What does 'transferable' in STV refer to?

Beginner
A The ability to transfer votes between parties
B The transfer of seats between districts
C The voter's ability to change their vote after election day
D The movement of surplus and eliminated candidates' votes to other candidates
Show the answer

D · The movement of surplus and eliminated candidates' votes to other candidates

The 'transferable' aspect means that votes are not locked to a candidate; they can be transferred to other candidates based on voters' preferences, ensuring broader representation.

Q4. STV is a form of which broader electoral system family?

Beginner
A Mixed-member proportional
B Plurality-majority
C Proportional representation
D Single-member district
Show the answer

C · Proportional representation

STV is a proportional representation system because it aims to allocate seats in proportion to votes, unlike plurality systems.

Q5. In STV, a candidate who reaches the quota is immediately elected.

Beginner
A True
B False
Show the answer

A · True

Yes, any candidate who reaches the quota is elected in that round.

Q6. STV is a single-winner electoral system.

Beginner
A True
B False
Show the answer

B · False

STV is primarily a multi-winner system, though it can be used for single-winner elections (as IRV).

Building up · 11 questions

Q7. What is the 'quota' in STV?

Intermediate
A The maximum number of candidates a voter can rank
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. The most common formula is the Droop quota: (total valid votes / (seats + 1)) + 1.

Q8. What happens to surplus votes of an elected candidate in STV?

Intermediate
A They are transferred to remaining candidates according to voters' next preferences
B They are added to the candidate's party's total
C They are used to elect the runner-up
D They are discarded
Show the answer

A · They are transferred to remaining candidates according to voters' next preferences

Surplus votes (votes above the quota) are transferred to other candidates based on the next available preference on each ballot, ensuring votes are not wasted.

Q9. When a candidate is eliminated in STV, what happens to their votes?

Intermediate
A They are invalidated
B They are transferred to the remaining candidates based on next preferences
C They are kept for a recount
D They are given to the candidate with the most votes
Show the answer

B · They are transferred to the remaining candidates based on next preferences

When a candidate is eliminated (usually the one with the fewest votes), their ballots are transferred to the next preferred candidate still in the race.

Q10. Which of the following is a key advantage of STV?

Intermediate
A It guarantees a majority government
B It encourages two-party dominance
C It is simple for voters to understand
D It minimizes wasted votes and produces proportional outcomes
Show the answer

D · It minimizes wasted votes and produces proportional outcomes

STV reduces wasted votes by transferring preferences and helps achieve proportional representation, allowing minority groups to gain representation.

Q11. What is a common criticism of STV?

Intermediate
A It always results in single-party governments
B It can be complex to count and may lead to lengthy vote counts
C It is too simple and does not reflect voter preferences
D It does not allow independent candidates
Show the answer

B · It can be complex to count and may lead to lengthy vote counts

STV counting is more complex than plurality or party-list systems, often requiring multiple rounds and computer assistance, which can delay results.

Q12. Which country uses STV for its national elections?

Intermediate
A Canada
B Germany
C Ireland
D United Kingdom
Show the answer

C · Ireland

Ireland uses STV for its Dáil (lower house) elections. Australia uses it for the Senate, but Ireland is a prominent national example.

Q13. In STV, what is a 'surplus'?

Intermediate
A The number of votes a candidate receives beyond the quota
B The extra ballots that are spoiled
C The number of seats left unfilled
D The votes that are not transferred
Show the answer

A · The number of votes a candidate receives beyond the quota

A surplus occurs when a candidate receives more votes than the quota. These surplus votes are transferred to other candidates to avoid wasting them.

Q14. Which of the following is NOT a typical step in the STV counting process?

Intermediate
A Declare candidates who reach the quota as elected
B Count first-preference votes
C Transfer surplus votes of elected candidates
D Combine all parties' votes into a national pool
Show the answer

D · Combine all parties' votes into a national pool

STV operates within individual multi-member districts; it does not pool votes nationally. Counting is done district by district.

Q15. What is the effect of STV on political parties?

Intermediate
A It encourages multi-party systems and coalition building
B It gives all seats to the largest party
C It usually leads to a two-party system
D It eliminates parties altogether
Show the answer

A · It encourages multi-party systems and coalition building

Because STV is proportional, smaller parties have a better chance of winning seats, often leading to a multi-party system and coalition governments.

Q16. In STV, what happens if not all seats are filled after the first count?

Intermediate
A A second election is held
B The candidate with the fewest votes is eliminated and their votes transferred
C The remaining seats are filled by appointment
D The election is declared void
Show the answer

B · The candidate with the fewest votes is eliminated and their votes transferred

If seats remain unfilled, the candidate with the fewest votes is eliminated, and their votes are transferred to other candidates. This process repeats until all seats are filled.

Q17. What is a potential drawback of STV in terms of voter experience?

Intermediate
A Voters may find ranking many candidates confusing
B Voters have no choice between candidates of the same party
C Voters cannot express a preference for independent candidates
D Voters must vote for a party list
Show the answer

A · Voters may find ranking many candidates confusing

In STV, voters may need to rank many candidates, which can be overwhelming, especially in large districts with many candidates.

Topper level · 2 questions

Q18. In STV, what is the 'Droop quota' formula?

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

B · (Total valid votes / (Seats + 1)) + 1

The Droop quota is the most common quota in STV. It is calculated as floor(Total valid votes / (Seats + 1)) + 1, ensuring that no more candidates can reach the quota than there are seats.

Q19. Which of the following is a true statement about STV?

Advanced
A STV is the same as instant-runoff voting (IRV)
B STV is used in the United States for presidential elections
C STV requires voters to vote for a party, not a candidate
D STV can be used for both single-winner and multi-winner elections
Show the answer

D · STV can be used for both single-winner and multi-winner elections

STV is a multi-winner system, but when used with a single winner, it is identical to instant-runoff voting (IRV). Thus, STV can be adapted for single-winner contests.

Flashcards

Tap a card to flip it

18 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.

Learning games

Play your way through this kit

Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.

🎮

True False

Built from this kit's own content

🎮

Memory Match

Built from this kit's own content

🎮

Flashcard Battle

Built from this kit's own content

🎮

Speed Quiz

Built from this kit's own content

🎮

Sequence Builder

Built from this kit's own content

🎮

Revision Battle

Built from this kit's own content

Playable in the app

Study it properly — free, in the app

The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.