IB grade boundaries for Physics and Maths: what a 7 takes, session by session

Overall and paper-by-paper boundaries for IB Physics and Mathematics (Analysis and Approaches, Applications and Interpretation), SL and HL, over 34 sessions. 420 rows were read from the IB's own grade boundaries documents. In the latest session a 7 started at 69% in Physics SL and at 76% in Maths AI SL.

By Pietro Meloni, PhD · Last verified against the official pages on

The short answer

A 7 has never needed more than 83% in any of these six subjects, and in most sessions it sits between 65% and 75%. The 6 is usually 10 to 15 marks below the 7 on the 100-mark scale, and that gap is where most students who miss the 7 actually lose it.

Each subject page shows every session on record, the paper-by-paper thresholds of the most recent session with a full IB document, and what those numbers mean for how to revise.

Latest session, all six subjects

Overall boundaries in the most recent session on record, as a percentage of the scaled marks. Full history on each subject page.
SubjectSession7 from6 from4 fromRange of the 7Sessions
Maths AA HLMay 2026 TZ3reported72%60%33%63% to 79%21
Maths AA SLMay 2026 TZ3reported73%59%30%63% to 80%22
Maths AI HLMay 2026 TZ3reported74%62%37%61% to 77%19
Maths AI SLMay 2026 TZ3reported76%63%37%66% to 83%22
Physics HLMay 2026 TZ3reported72%60%35%61% to 74%30
Physics SLMay 2026 TZ3reported69%58%35%58% to 73%30

Every other IB subject: the 7 in the latest session, and its range since 2017

The same documents cover every Diploma subject. Each link opens the full history of that subject and level, paper-by-paper thresholds and a mark checker. Or use the grade calculator for every subject.

Studies in language and literature

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Arabic A: Language and Literature HLMay 202583%69%43%74% to 83%8
Arabic A: Language and Literature SLMay 202583%68%40%74% to 83%8
Arabic A: Literature HLMay 201886%75%50%83% to 86%2
Arabic A: Literature SLMay 202583%68%41%68% to 85%8
Catalan A: Literature HLMay 202584%71%46%80% to 87%8
Catalan A: Literature SLMay 202586%73%48%86% to 88%3
Chinese A: Language and Literature HLMay 2025 TZ181%68%44%79% to 84%8
Chinese A: Language and Literature SLNovember 202581%70%45%77% to 87%16
Chinese A: Literature HLMay 2025 TZ183%69%45%77% to 86%8
Chinese A: Literature SLMay 2025 TZ181%69%44%77% to 84%8
Czech A: Literature HLMay 202588%74%50%88% to 88%3
Czech A: Literature SLMay 202589%77%53%89% to 89%3
Danish A: Literature HLMay 202581%69%45%79% to 85%8
Danish A: Literature SLMay 202585%73%47%74% to 86%3
Dutch A: Language and Literature HLMay 202485%71%45%74% to 87%5
Dutch A: Language and Literature SLMay 202586%71%44%68% to 88%8
English A: Language and Literature HLNovember 2025 TZ381%68%41%77% to 84%16
English A: Language and Literature SLNovember 2025 TZ380%68%42%71% to 85%16
English A: Literature HLNovember 2025 TZ376%64%40%74% to 82%16
English A: Literature SLNovember 2025 TZ375%63%37%68% to 81%16
Finnish A: Literature HLMay 202582%68%41%75% to 87%8
Finnish A: Literature SLMay 202581%66%37%74% to 83%8
French A: Language and Literature HLMay 2025 TZ379%67%41%73% to 82%8
French A: Language and Literature SLMay 2025 TZ379%67%40%74% to 82%8
French A: Literature HLMay 2025 TZ382%68%42%77% to 87%8
French A: Literature SLMay 2025 TZ286%71%41%82% to 86%8
German A: Language and Literature HLMay 202582%68%40%80% to 86%8
German A: Language and Literature SLMay 202579%65%33%77% to 83%8
German A: Literature HLMay 202582%69%43%78% to 84%8
German A: Literature SLMay 202581%70%44%77% to 82%8
Indonesian A: Language and Literature HLMay 202586%71%45%80% to 86%7
Indonesian A: Language and Literature SLMay 202587%71%44%85% to 87%8
Indonesian A: Literature SLMay 2022 (exam route)82%68%43%82% to 85%4
Italian A: Language and Literature HLMay 202586%72%45%77% to 86%7
Italian A: Language and Literature SLMay 202587%74%46%71% to 87%6
Italian A: Literature HLMay 202585%71%44%80% to 85%8
Italian A: Literature SLMay 202587%72%44%78% to 87%7
Japanese A: Language and Literature HLNovember 202576%65%42%70% to 86%12
Japanese A: Language and Literature SLNovember 202574%63%41%63% to 85%9
Japanese A: Literature HLNovember 202577%66%44%69% to 84%10
Japanese A: Literature SLNovember 202575%65%43%72% to 75%2
Korean A: Language and Literature HLNovember 202580%68%43%69% to 86%7
Korean A: Language and Literature SLMay 202583%69%42%71% to 86%8
Korean A: Literature HLMay 201984%73%47%84% to 85%3
Korean A: Literature SLMay 202583%69%42%74% to 84%8
Lithuanian A: Literature SLMay 202581%67%42%79% to 83%4
Malay A: Literature SLMay 202588%74%49%82% to 90%8
Modern Greek A: Language and Literature SLMay 202582%68%41%79% to 85%7
Modern Greek A: Literature SLMay 202585%72%45%71% to 85%8
Norwegian A: Literature HLMay 2022 (exam route)80%66%43%75% to 84%5
Norwegian A: Literature SLMay 202586%71%44%77% to 86%7
Polish A: Literature HLMay 202582%69%44%79% to 84%7
Polish A: Literature SLMay 202582%68%42%79% to 84%8
Portuguese A: Language and Literature HLNovember 202583%70%43%79% to 86%13
Portuguese A: Language and Literature SLMay 202583%69%42%79% to 85%8
Russian A: Language and Literature HLMay 202483%69%43%83% to 83%2
Russian A: Language and Literature SLMay 202585%70%44%74% to 87%6
Russian A: Literature HLMay 202586%72%46%75% to 86%7
Russian A: Literature SLMay 202585%70%42%79% to 85%8
Spanish A: Language and Literature HLNovember 202582%68%40%69% to 85%16
Spanish A: Language and Literature SLNovember 202580%68%41%71% to 86%16
Spanish A: Literature HLNovember 202582%68%41%75% to 86%16
Spanish A: Literature SLNovember 202583%72%45%79% to 85%16
Swedish A: Language and Literature SLMay 202578%64%37%74% to 86%8
Swedish A: Literature HLMay 2022 (exam route)74%61%36%74% to 82%5
Swedish A: Literature SLMay 202578%64%37%77% to 82%8
Thai A: Language and Literature SLMay 202586%71%44%79% to 87%7
Turkish A: Literature HLNovember 202578%67%45%72% to 86%16
Turkish A: Literature SLNovember 202581%69%45%55% to 83%13
Ukrainian A: Literature SLMay 2025 · self-taught83%70%36%83% to 83%2
Vietnamese A: Language and Literature SLMay 202582%70%44%82% to 85%3
Vietnamese A: Literature SLMay 2022 (exam route)82%71%46%82% to 82%2

Language acquisition

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Arabic B HLMay 202587%76%55%81% to 87%8
Arabic B SLMay 202588%71%44%77% to 91%8
Arabic ab initio SLMay 202590%77%50%71% to 90%8
Chinese B HLNovember 202584%72%46%78% to 88%16
Chinese B SLNovember 202583%69%43%76% to 86%16
Danish B HLMay 202588%71%45%83% to 90%8
Danish ab initio SLMay 202587%72%45%85% to 87%2
Dutch B HLMay 202583%70%44%78% to 88%8
Dutch B SLMay 202586%73%45%82% to 89%8
Dutch ab initio SLMay 202582%69%43%82% to 86%2
English B HLNovember 2025 TZ390%73%41%79% to 91%16
English B SLNovember 2025 TZ387%74%46%82% to 90%16
English ab initio SLNovember 202584%71%46%77% to 89%12
French B HLNovember 202587%73%48%77% to 88%16
French B SLNovember 2025 TZ384%68%37%79% to 87%16
French ab initio SLNovember 2025 TZ378%66%42%76% to 84%16
German B HLNovember 202581%67%39%80% to 89%16
German B SLNovember 202579%65%34%75% to 87%15
German ab initio SLMay 2025 TZ387%71%42%80% to 88%8
Hindi B HLMay 202585%73%51%79% to 86%8
Hindi B SLMay 202584%68%36%78% to 87%8
Indonesian B HLMay 202589%76%48%81% to 90%8
Indonesian B SLMay 202585%70%39%83% to 90%8
Indonesian ab initio SLNovember 202580%66%38%70% to 87%6
Italian B HLMay 2025 TZ383%67%38%78% to 89%8
Italian B SLMay 2025 TZ383%68%37%78% to 90%8
Italian ab initio SLMay 202584%69%38%79% to 88%8
Japanese B HLMay 202582%68%43%82% to 90%7
Japanese B SLNovember 202582%67%36%75% to 88%16
Japanese ab initio SLMay 2025 TZ281%67%37%74% to 87%14
Latin HLMay 202575%63%39%70% to 79%8
Latin SLMay 2025 TZ372%60%38%57% to 83%8
Malay B SLNovember 202473%61%36%65% to 86%7
Mandarin ab initio SLNovember 202574%60%34%70% to 86%16
Norwegian B HLMay 202581%63%32%81% to 89%8
Portuguese B HLMay 202578%67%44%78% to 81%2
Portuguese B SLMay 202579%67%41%76% to 82%5
Russian B SLMay 202483%67%37%79% to 87%7
Russian ab initio SLMay 2021 (exam route)71%58%38%71% to 84%3
Spanish B HLMay 2025 TZ385%70%39%75% to 88%8
Spanish B SLNovember 202582%68%40%75% to 87%16
Spanish ab initio SLNovember 202582%67%39%73% to 87%16
Swedish B HLMay 202585%71%45%81% to 89%8
Swedish B SLMay 202587%72%42%81% to 88%8
Swedish ab initio SLMay 202582%69%40%72% to 86%5
Tamil B SLNovember 202580%66%37%78% to 85%7

Individuals and societies

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Art History SLMay 202574%63%41%68% to 80%8
Business Management HLNovember 2025 TZ373%62%40%65% to 77%16
Business Management SLNovember 2025 TZ381%70%47%67% to 82%16
Digital Society HLNovember 202570%60%40%70% to 73%4
Digital Society SLNovember 202566%57%38%66% to 74%4
Economics HLNovember 2025 TZ379%65%38%65% to 79%16
Economics SLNovember 2025 TZ381%69%43%69% to 81%16
Geography HLNovember 202576%66%43%71% to 76%16
Geography SLNovember 202579%67%43%71% to 79%16
Global Politics HLNovember 202572%60%35%58% to 74%15
Global Politics SLNovember 202567%56%32%53% to 72%15
History HLNovember 2025 TZ3 · Americas74%62%38%69% to 74%16
History SLNovember 2025 TZ376%64%39%71% to 77%16
Information Technology in a Global Society HLNovember 202373%63%42%64% to 73%12
Information Technology in a Global Society SLNovember 202369%57%35%61% to 71%12
Philosophy HLNovember 202579%65%38%74% to 81%16
Philosophy SLNovember 202580%65%34%67% to 80%15
Psychology HLNovember 2025 TZ373%61%37%65% to 75%16
Psychology SLNovember 2025 TZ372%60%38%66% to 75%16
Social and Cultural Anthropology HLMay 2025 TZ375%63%42%74% to 81%11
Social and Cultural Anthropology SLMay 2025 TZ381%69%44%73% to 81%8
World Religions SLMay 202580%67%41%73% to 81%8

Sciences

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Biology HLNovember 2025 TZ377%63%34%71% to 81%16
Biology SLNovember 2025 TZ377%64%39%72% to 81%16
Chemistry HLNovember 2025 TZ377%64%37%69% to 81%16
Chemistry SLNovember 2025 TZ375%65%43%69% to 79%16
Computer Science HLNovember 202570%61%44%63% to 74%16
Computer Science SLNovember 202573%64%45%62% to 75%16
Design Technology HLNovember 202568%58%38%58% to 76%16
Design Technology SLNovember 202569%58%38%46% to 75%10
Sports, Exercise and Health Science HLNovember 202576%61%34%68% to 78%15
Sports, Exercise and Health Science SLNovember 202581%67%39%69% to 81%16

Mathematics

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Further Mathematics HLMay 201972%62%42%72% to 75%3
Mathematical Studies SLNovember 202080%69%45%76% to 85%6
Mathematics (2014 to 2020 syllabus) HLNovember 2020 · Calculus80%68%44%73% to 83%6
Mathematics (2014 to 2020 syllabus) SLNovember 202082%69%43%76% to 83%6

The arts

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Dance HLMay 202581%69%50%81% to 88%8
Dance SLNovember 202581%71%51%81% to 87%9
Film HLNovember 202583%70%41%81% to 85%16
Film SLMay 202583%69%41%82% to 87%8
Music HLNovember 202581%67%39%77% to 88%11
Music SLNovember 202578%65%39%77% to 78%8
Theatre HLNovember 202583%68%37%76% to 84%16
Theatre SLNovember 202585%69%36%76% to 86%14
Visual Arts HLNovember 202581%66%39%77% to 85%16
Visual Arts SLNovember 202580%65%34%77% to 85%16

Interdisciplinary and school-based

SubjectLatest session7 from6 from4 fromRange of the 7Sessions
Brazilian Social Studies SLMay 202581%68%44%75% to 84%7
Environmental Systems and Societies SLNovember 2025 TZ368%57%33%62% to 71%16
Literature and Performance SLMay 2025 TZ383%69%41%78% to 86%8
Marine Science SLMay 202566%58%39%62% to 74%8
Nature of Science SLMay 202477%66%46%65% to 79%7
Turkey in the 20th Century SLMay 202581%67%44%78% to 87%7

Dataset for every subject, May 2017 to November 2025: CSV or JSON, CC BY 4.0.

How to read a boundary

The overall boundary is on a 100-mark scale built from the papers and the internal assessment, each weighted as the syllabus says. A student does not need the 7 on every paper: a strong paper carries a weaker one, and the component table on each subject page shows exactly how much.

The boundaries are set after marking. When a paper is harder than usual, the thresholds come down. So a low 7 in one session is not good news for the next one: it usually means that paper was hard.

Method

Rows marked with a document were read from the grade boundaries document the IB issues to Diploma coordinators after each session, from May 2024 to November 2025 TZ3. Most of those documents list every component; the most recent one on record lists the overall only.

Sessions for which I do not hold the document are shown as “reported”: overall boundaries only, taken from published compilations of the IB subject reports, to be checked line by line when the document is in hand. The IB does not publish these documents openly; they reach schools through IBIS. If you are a coordinator or a teacher and can share a session document, corrections and additions are welcome at pietro@pietromeloni.com.

Grade boundaries are facts published by the IB. The tables, the percentages and the commentary here are my own work and are not endorsed by the International Baccalaureate. Dataset: CSV or JSON, CC BY 4.0.

Frequently asked questions

What percentage do you need for a 7 in IB Maths AA HL?

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In May 2026 TZ3 the overall 7 in Maths AA HL started at 72% of the scaled marks. Across the 21 sessions on record it has ranged from 63% (May 2021 TZ1) to 79% (November 2024).

What percentage do you need for a 7 in IB Physics HL?

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In May 2026 TZ3 the overall 7 in Physics HL started at 72%. Over 30 sessions it has ranged from 61% to 74%. Physics changed syllabus in May 2025, so the paper structure before and after that session is different.

Why do IB grade boundaries change every session?

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Because the IB sets them after marking, so that a 7 means the same standard whether the paper turned out harder or easier than usual. A harder paper gets lower boundaries. This is why the useful number is the range over several sessions, not a single year.

What are TZ1, TZ2 and TZ3?

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Time zones. In May the IB sets different papers for different parts of the world, and each paper gets its own boundaries. TZ1 is broadly the Americas, TZ2 Europe, Africa and the Middle East, TZ3 Asia and Oceania. November sessions are usually a single timezone, though some subjects have run two since November 2024.

Where do these numbers come from?

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From the grade boundaries document the IB sends to Diploma coordinators after each session, for May 2024 to November 2025 TZ3. Sessions without that document in hand are shown as reported, overall only, and are checked when the document arrives.

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