Kit Library / Social Studies / Civics & Government
⚡ Topic Learning KitShared by a Veda learner · Generated with Veda AI
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
Vote for candidates, not just parties.
Single Transferable Vote (STV) is a *proportional representation* system where voters rank candidates in order of preference. Instead of voting for one person, you number candidates: 1 for your favorite, 2 for your next choice, and so on. If your top choice is elected or eliminated, your vote transfers to your…
↳ STV lets your vote count even if your first choice wins or loses.
⚙️ Process
Follow the vote transfers step by step.
↳ STV counts votes in rounds, transferring votes to keep them effective.
➗ Formula
How many votes guarantee a seat?
This is the Droop quota, the most common formula. A candidate needs just over this many votes to be elected. It ensures that only the required number of candidates can reach the quota.
↳ The quota is the minimum votes needed to win a seat in STV.
✏️ Example
See how votes transfer in practice.
Imagine an election with 100 voters, 2 seats, and 3 candidates: A, B, C. Total valid votes = 100. Quota = (100 / (2+1)) + 1 = 34.33 + 1 = 35 (rounded up).
↳ STV ensures more votes help elect someone, not just the top candidate.
⚖️ Comparison
How is STV different from usual voting?
↳ STV gives a more proportional result than first-past-the-post.
💡 Key Idea
Your preferences matter, not just your first.
Ranking lets you support a smaller party or independent without 'wasting' your vote. If your first choice is eliminated, your vote goes to your second choice. This encourages sincere voting—you can vote for who you truly want, not just who you think can win.
↳ Ranking gives you freedom to vote honestly.
⭐ Important Fact
Real places that use STV.
↳ STV is used in several countries for fair representation.
⚠️ Common Mistake
Your vote always counts—if you rank.
Some voters think if their first choice loses, their vote is wasted. In STV, that's false. As long as you rank enough candidates, your vote will transfer until it helps elect someone or all your choices are eliminated. Not ranking enough can waste your vote.
↳ Rank as many candidates as you like to keep your vote alive.
Rank in order of true preference.
↳ Number candidates in the order you like them.
Your vote skips to the next song.
Think of your ballot as a playlist. Your first choice is the first song. If that song is already played (elected) or skipped (eliminated), your playlist moves to the next song. Your vote keeps 'playing' until it finds a song that needs your support.
↳ STV keeps your vote active like a playlist on shuffle.
🎯 Exam Tip
Use the acronym Q-T-E-E.
For exam answers, remember: Quota, Transfer surplus, Eliminate lowest, Elect winners. Write these steps in order to show you understand the process.
↳ Q-T-E-E helps you recall the STV counting process.
❓ Did You Know
A classic idea for fair voting.
STV was invented in the 19th century by Thomas Hare in England. It has been used in various forms around the world ever since, proving its lasting appeal for proportional representation.
↳ STV is a time-tested electoral system.
🚫 Warning
Each candidate gets only one number.
Make sure you don't give the same number to two candidates. That makes your ballot invalid. Also, don't skip numbers—if you give a '1' and then a '3', the '3' might not count.
↳ Fill your ballot correctly to make it count.
💡 Key Idea
Seats match voter support.
In a 5-seat constituency, if a party gets 40% of first-preference votes, they can expect about 2 out of 5 seats. This proportionality makes the legislature more representative of the electorate.
↳ STV links vote share to seat share.
The Single Transferable Vote (STV) is a proportional representation system where voters rank candidates in order of preference. Counting uses a quota to elect candidates, with surplus votes transferred and low-scoring ca…
Full explanation, worked examples & memory tricks in the app
All 18 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.
Q1. What is the primary goal of the Single Transferable Vote (STV) system?
BeginnerC · To achieve proportional representation in multi-member districts
STV is designed to produce proportional representation, meaning the number of seats a party wins roughly matches its share of the vote, especially in multi-member districts.
Q2. In STV, voters rank candidates in order of preference. What does ranking allow?
BeginnerB · Voters to indicate a backup choice if their first choice is eliminated or has surplus votes
Ranking lets voters show not only their first choice but also subsequent preferences, which are used to transfer votes when a candidate is eliminated or has more votes than needed to win.
Q3. Which of the following is a key advantage of STV?
BeginnerD · It minimizes wasted votes and allows for proportional representation
STV reduces wasted votes because votes for losing candidates or surplus votes are transferred, and it produces proportional outcomes.
Q4. In STV, what does a voter's ballot typically look like?
BeginnerC · A list of candidates to be ranked in order of preference
STV ballots require voters to rank candidates numerically (1, 2, 3, etc.) according to their preference.
Q5. In STV, what happens to a candidate who is eliminated?
BeginnerD · Their votes are transferred to the remaining candidates based on next preferences
When a candidate is eliminated, each of their ballots is transferred to the next-ranked candidate who is still in the race.
Q6. Which of the following is a common use of STV?
BeginnerA · Local council elections in multi-member wards
STV is often used for local council elections where multiple representatives are elected from a single ward, such as in Scotland and some U.S. cities.
Q7. STV is a proportional representation system.
BeginnerA · True
STV is designed to produce proportional outcomes, meaning the composition of the elected body reflects the proportion of votes each party or group receives.
Q8. In STV, voters vote for a party list rather than individual candidates.
BeginnerB · False
In STV, voters rank individual candidates, not party lists. This is a key difference from list PR systems.
Q9. What is the 'quota' in STV?
IntermediateA · The minimum number of votes a candidate needs to be elected
The quota is the minimum number of votes a candidate must achieve to be elected. It is calculated based on the total valid votes and the number of seats to be filled.
Q10. Which of the following is a common formula for calculating the quota in STV?
IntermediateC · (Total votes) / (Seats + 1) + 1
The Droop quota is commonly used: (Total valid votes) / (Seats + 1) + 1. This ensures that only the required number of candidates can reach the quota.
Q11. What happens to a candidate's surplus votes (votes above the quota) in STV?
IntermediateD · They are transferred to remaining candidates based on voters' next preferences
Surplus votes are transferred to other candidates according to the next preferences marked on those ballots, ensuring that votes are not wasted.
Q12. If no candidate reaches the quota after the first count, what is the next step in STV?
IntermediateC · The candidate with the fewest votes is eliminated
If no one meets the quota, the candidate with the fewest votes is eliminated, and their votes are transferred to the next preferences on those ballots.
Q13. What is a potential disadvantage of STV?
IntermediateB · It is complex for voters to understand and for officials to count
STV can be more complex than first-past-the-post because voters must rank candidates and counting involves transfers and quotas.
Q14. Which of the following countries uses STV for its national elections?
IntermediateD · Ireland
Ireland uses STV for its Dáil (lower house) elections, as well as for European and local elections.
Q15. Which of the following is NOT a characteristic of STV?
IntermediateB · Single-member districts
STV uses multi-member districts, not single-member districts, to achieve proportional representation.
Q16. What is the purpose of transferring surplus votes?
IntermediateD · To ensure that votes are not wasted
Transferring surplus votes ensures that as many votes as possible contribute to electing a candidate, minimizing wasted votes.
Q17. What is the 'Droop quota' formula?
AdvancedA · floor(Total votes / (Seats + 1)) + 1
The Droop quota is the smallest number that guarantees no more than the required number of candidates can reach it. It is calculated as the integer part of (Total votes / (Seats + 1)) plus one.
Q18. In STV, if a voter does not rank all candidates, what happens to their ballot when all ranked candidates are eliminated?
AdvancedA · It becomes exhausted and is set aside
If a ballot has no more usable preferences (all ranked candidates are eliminated or elected), it is considered exhausted and no longer participates in the count.
17 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
True False
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Memory Match
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Flashcard Battle
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Speed Quiz
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Sequence Builder
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Revision Battle
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