If you are searching for clear information on IB DP Mathematics grade boundaries, this guide covers the paper structure for both Analysis and Approaches (AA) and Applications and Interpretation (AI) at Higher and Standard Level, the way the IB sets boundaries for the 1–7 scale, recent threshold patterns, and the most-asked question for any IB Maths candidate: what raw mark do I need for a 7 in IB Mathematics?

The International Baccalaureate sets official grade boundaries for every subject after each examination session. Boundaries are visible to schools through the IB Coordinator portal and discussed in Subject Reports. Below we summarise how IB DP Mathematics is graded across AA and AI, HL and SL, what boundaries usually look like, and how to use them while you revise.

Free tool: Enter your raw mark in the right Tutopiya grade boundary tracker for your route — Maths AA HL · Maths AA SL · Maths AI HL · Maths AI SL — to instantly see the most likely IB grade based on recent-session boundary patterns. Pair it with the revision checklists for IB Maths AA and IB Maths AI.

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How IB DP Mathematics grade boundaries work

A grade boundary is the minimum total raw mark required to be awarded a particular grade. For IB DP Mathematics, grades range from 1 to 7, with 7 the highest.

Three points to remember:

1. Boundaries are set after marking. The IB looks at the difficulty of the actual papers sat and the cohort’s performance, then sets thresholds so that comparable candidates receive comparable grades across sessions.
2. Boundaries change every session. A May 2025 grade 7 boundary is not the same as a November 2024 grade 7 boundary.
3. Boundaries differ across AA, AI, HL and SL. Each of the four routes is a separate qualification with its own boundary table.

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IB DP Mathematics paper structure: AA and AI, HL and SL

IB DP Mathematics is offered in two routes — Analysis and Approaches (AA) for students continuing to maths-heavy university courses, and Applications and Interpretation (AI) for students applying maths to data, modelling and applied contexts. Each route has HL and SL versions.

Standard Level (both routes):

Component	Description
Paper 1	Short and extended response, no calculator (AA) / with technology (AI)
Paper 2	Short and extended response, with technology
Internal Assessment	Mathematical Exploration (20 marks)

Higher Level (both routes):

Component	Description
Paper 1	Short and extended response, no calculator (AA) / with technology (AI)
Paper 2	Short and extended response, with technology
Paper 3	Extended problem-solving, with technology
Internal Assessment	Mathematical Exploration (20 marks)

The Internal Assessment (the Mathematical Exploration) carries 20% of the final mark in all four routes. Written papers carry the remaining 80%, divided across two papers (SL) or three papers (HL).

For full details, refer to the IB Mathematics subject brief and your school’s IB Coordinator.

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What raw mark do I need for a 7 in IB DP Mathematics?

Across recent sessions, the grade 7 boundary for IB DP Mathematics has typically required somewhere in the 66–82% range of total marks — but the exact figure varies sharply between AA HL, AA SL, AI HL and AI SL.

Representative bands across recent sessions:

Route	Grade 7 (typical)	Grade 6 (typical)	Grade 5 (typical)
Maths AA HL	65–75%	53–63%	41–51%
Maths AA SL	75–82%	62–69%	49–56%
Maths AI HL	70–78%	58–66%	46–54%
Maths AI SL	75–82%	62–69%	49–56%

The pattern is that HL boundaries are typically lower than SL because HL papers are mathematically harder and reward fewer candidates with high totals. AA HL — historically the most demanding maths qualification offered by the IB — has had grade 7 thresholds in the high 60s in challenging sessions.

Two caveats:

1. These are typical bands, not predictions. A particular session might sit a few marks above or below.
2. The IB publishes thresholds as raw marks, not percentages. Always work from the published raw-mark threshold for your specific route.

For confirmed boundaries, ask your IB Coordinator for access to the official session boundary table.

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Why IB DP Mathematics boundaries vary so much between routes

Three factors:

• AA HL difficulty. AA HL is widely considered the most demanding mathematics qualification at school level. Calculations are dense, abstract concepts (proof, complex numbers, vectors) feature heavily, and the cohort is small but academically very strong. Grade 7 thresholds reflect that — they are typically lower than SL.
• Paper 3 effect (HL only). Paper 3 is HL-only and is an extended problem-solving paper with sustained applied questions. A particularly demanding Paper 3 can shift HL boundaries by several marks.
• Cohort and route choice. AI typically attracts students less mathematically confident than AA, so SL boundaries on AI move differently from SL boundaries on AA.

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How to use IB DP Mathematics boundaries while you revise

Grade boundaries are most useful before results day. Three practical applications:

1. Convert past-paper marks into a target grade

When you sit a past Paper 2 (AA HL) under timed conditions and score 60/110, that number alone tells you little. Cross-reference with the published boundary for your route and you immediately know whether you are tracking at grade 5, 6 or 7. The Tutopiya IB Maths AA HL grade boundary tracker does this conversion automatically when you enter your combined raw mark — and there are equivalent trackers for AA SL, AI HL and AI SL.

2. Identify the gap to your next grade

If you are scoring 60% on combined past papers in AA HL and the historical grade 7 boundary is 70%, you know you need to pick up around ten percentage points to be on the 7 border. Combine the gap with the IB Maths AA revision checklist to choose where those marks come from — typically integration techniques, complex numbers, vectors, statistics or proof.

3. Sanity-check your predicted grade

Schools issue predicted grades for university applications. If your predicted grade looks higher or lower than the boundary maths suggests, raise it with your teacher early.

For broader IB Maths preparation, see our guide on tips to score 45 points in IB Maths.

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How the Internal Assessment (Exploration) affects your IB Maths grade boundary

The Mathematical Exploration carries 20% of the final mark and is your single biggest opportunity to bank marks before exams begin. Three implications:

• A strong Exploration (15+ out of 20) lifts your total raw mark before you sit Paper 1, 2 or 3.
• A weak Exploration forces your written papers to do more work.
• The Exploration is moderated, not externally examined — meaning your teacher’s mark may be adjusted up or down by IB moderators.

For Maths IA topic ideas and structuring guidance, see our IB IA topic ideas by subject guide.

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IB Mathematics grade boundaries: where to find the official numbers

The IB does not publish a single public boundary PDF the way Cambridge does. Four reliable routes:

1. Your IB Coordinator’s portal — official boundaries are visible to coordinators after each session.
2. Subject Reports — the IB publishes detailed Subject Reports after each session, with separate reports for AA and AI at HL and SL.
3. Your teacher — experienced IB Maths teachers track session-by-session boundaries.
4. Tutopiya’s IB Maths grade boundary trackers — separate trackers for AA HL, AA SL, AI HL and AI SL, with reference patterns from recent May sessions.

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Common mistakes students make with IB Maths grade boundaries

• Mixing AA and AI boundaries. AA HL and AI HL are different qualifications with different boundaries. Using AI boundaries to predict an AA grade (or vice versa) is misleading.
• Mixing HL and SL boundaries. HL and SL within the same route also have separate boundaries.
• Not including the Exploration mark. Calculating a boundary based on written papers alone without adding an Exploration estimate gives an inflated percentage.
• Forgetting the boundary is set per-session. May and November of the same year have separate thresholds.

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IB DP Mathematics revision: from threshold to grade

Published boundaries tell you the destination. The route is the same set of evidence-based revision habits:

• Past-paper timing practice. Sit full Paper 1 and Paper 2 (and Paper 3 for HL) under timed conditions. Use the past paper exam timer to enforce timing.
• Topic-by-topic confidence rating. Use the IB Maths AA revision checklist or IB Maths AI revision checklist to mark confidence across every syllabus topic.
• Calculator skills. AA Paper 1 is non-calculator; Paper 2 and Paper 3 (HL) are calculator papers. Drill calculator-specific skills (e.g. graphing, statistical functions, equation solving) so you do not lose marks switching modes under exam pressure.
• Formula booklet awareness. The IB supplies a formula booklet — know which formulae are given and which you must memorise.
• Exploration submission strength. Submit the Exploration at a true draft state two months before the deadline so your teacher can give substantive feedback.

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Frequently asked questions

What are IB DP Mathematics grade boundaries?

Grade boundaries are the minimum total raw marks required for each grade (1 to 7) in IB DP Mathematics. The IB publishes thresholds after each session through coordinator portals and Subject Reports.

What raw mark do I need for a 7 in IB Maths AA HL?

The grade 7 boundary for AA HL has typically required around 65–75% of total marks across recent sessions — lower than most other IB subjects because the papers are mathematically demanding. Use the Tutopiya IB Maths AA HL grade boundary tracker to enter your raw mark and see the most likely grade band, or ask your IB Coordinator for the official boundary table.

What raw mark do I need for a 7 in IB Maths AI SL?

The grade 7 boundary for AI SL has typically required around 75–82% of total marks across recent sessions. Boundaries are higher than AA HL because the cohort and paper structure differ. Check your raw mark in the Tutopiya IB Maths AI SL grade boundary tracker.

Are May 2026 IB Maths grade boundaries published yet?

No — the IB publishes grade boundaries on or shortly after results day (typically early July for the May session). Until then, use the most recent published session as a reference band.

Do AA and AI have separate grade boundaries?

Yes. AA and AI are distinct qualifications with separate paper structures, separate mark totals and separate boundary tables. HL and SL within each route also have separate boundaries — meaning four boundary tables across IB Mathematics each session.

Does the Internal Assessment (Exploration) count toward the grade boundary?

Yes — the Exploration contributes 20% of the final mark in all four IB Maths routes. Boundaries are applied to the combined total mark across written papers and the Exploration.

Why are AA HL boundaries typically lower than AA SL?

AA HL is mathematically harder than AA SL — the cohort is smaller and academically very strong, and the IB sets thresholds lower so that grade 7 cohort sizes remain comparable across qualifications.

Is a grade 7 in AA HL the same as an A* in Cambridge A Level Mathematics?

Broadly comparable in terms of university recognition. However, AA HL is widely considered more demanding than Cambridge A Level Mathematics, particularly in Paper 3’s extended problem-solving section.

What happens if I miss the grade 7 boundary by one mark?

The IB does not round up. A candidate one mark below the grade 7 threshold is awarded grade 6. Enquiries upon results can be requested through your IB Coordinator.

How does my Maths grade contribute to my total IB points?

Each of your six IB subjects is graded 1–7, contributing up to 42 points. The TOK and Extended Essay matrix adds up to 3 bonus points, for a maximum of 45 points. A grade 7 in HL Maths contributes 7 points to your total.

Does the new IB Mathematics syllabus (first exams 2021) still have the same boundaries?

The current syllabus (first exams 2021) split Mathematics into AA and AI. Boundaries are set per route, per session, and have evolved since 2021 as the IB has gathered cohort data. Trends are still settling for AI HL, the newest route.

Should I use a calculator or non-calculator past paper to predict my grade?

Always sit a full set — Paper 1 + Paper 2 (and Paper 3 for HL) — to get a meaningful total. A non-calculator paper alone over-states or under-states the final mark depending on your calculator strength.

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Last reviewed: 29 April 2026. IB grade boundaries are released after each session through the IB Coordinator portal and Subject Reports. Always verify current boundaries with your school’s IB Coordinator.

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