IB Mathematics: Applications and Interpretation HL grade boundaries: what you need for a 7

In May 2026 TZ3 a 7 in IB Mathematics: Applications and Interpretation HL started at 74 out of 100 scaled marks, a 6 at 62 and a 4 at 37. Across the 16 sessions on record the 7 has ranged from 62% (May 2022 TZ2) to 77% (November 2023), and the gap between a 6 and a 7 has averaged 11.9 marks.

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

Overall boundaries, every session on record

Minimum scaled mark, out of 100, for each grade. Rows without “IB document” are reported values not yet checked against the document.
Session76543Gap 6 to 7Source
May 2026 TZ3746249372612reported
May 2026 TZ2695745322212reported
May 2026 TZ1705946342411reported
November 2025766452402912IB document
May 2025 TZ3776552382612IB document
May 2025 TZ2665645332410IB document
May 2025 TZ1665544322311IB document
November 2024776552392812IB document
May 2024 TZ2746248352512IB document
May 2024 TZ1746351372611IB document
November 2023776250352415reported
May 2023 TZ2685744322311reported
May 2023 TZ1695746342412reported
November 2022645239241612reported
May 2022 TZ2624937261813reported
May 2022 TZ1635037261613reported

Paper by paper: May 2025 TZ3

May 2025 TZ3: minimum raw mark for each grade on each component, and the 7 as a percentage of that component. Read from the IB grade boundaries document.
ComponentOut of76547 as %
Internal assessment20171512985%
Paper 11107764503770%
Paper 21108368533875%
Paper 3554740342785%

What the components say about where to work

In May 2025 TZ3 a 7 needed 85% on the internal assessment and 70% on Paper 1. The paper with the lower threshold is the paper that students found hard, and it is usually the one where a few marks are cheapest to gain.

In most sessions with a full IB document, the exploration (the internal assessment) has had the highest threshold of all the components. It is marked against criteria known in advance, so it is the one part of the grade that is under the student's control before the exam. Which paper has the lowest threshold changes from session to session, so a past paper should be marked against the boundaries of its own session.

The gap between a 6 and a 7

In Maths AI HL the 6 sits on average 11.9 marks below the 7 on the 100-mark scale. That is roughly one long question answered fully instead of half-answered, or the marks lost to arithmetic slips and unread instructions across a whole paper.

Students who miss a 7 rarely miss it on content. They miss it on the last part of long questions, on rounding and units, on reading what was asked.

How to use this

Use the range, not the last session. A student who is scoring 77% or more on full mocks under exam conditions has a 7 in every session on record. A student at 62% has a 7 only on the hardest paper, and should plan for the 6 to 7 gap rather than assume it.

Mock papers should be marked on the component boundaries of a documented session, not on the overall. Then the weakest component is visible and the revision plan writes itself.

Sources

7 of the 16 sessions were read from the grade boundaries document the IB issues to Diploma coordinators. Most of those documents list every component; the most recent one on record lists the overall only. The rows marked “reported” give the overall boundary only, from published compilations of the IB subject reports, and will be checked against the document when it is in hand.

Independent work, not endorsed by the International Baccalaureate. Last reviewed . Corrections: pietro@pietromeloni.com.

Frequently asked questions

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

+
74% of the scaled marks in May 2026 TZ3. Over 16 sessions the 7 has started between 62% and 77%. There is no fixed figure: the IB sets it after each session.

How many marks separate a 6 from a 7 in Maths AI HL?

+
Between 10 and 15 on the 100-mark scale, 11.9 on average. In May 2026 TZ3 it was 12 marks. That is the size of one long question done properly, which is why exam technique moves this grade more than new content.

Which component needs the highest mark for a 7 in Maths AI HL?

+
In May 2025 TZ3 the internal assessment needed 17 out of 20 (85%) for a 7, the highest of the components, while Paper 1 needed 77 out of 110 (70%). The overall grade is what counts: a strong component carries a weaker one.

Are Maths AI HL grade boundaries going up or down?

+
The May 7 moved from 77% in May 2025 TZ3 to 74% in May 2026 TZ3. A move of a few points between years is normal and reflects how hard that paper was, not a change in the standard.

Where do these numbers come from?

+
From the grade boundaries document the IB issues to Diploma coordinators after each session, for 7 of the 16 sessions shown. The others are overall values reported in published compilations of IB subject reports and are checked when the document is in hand.

Find out what is costing the marks.

Twenty minutes, one to one, online. No charge, no commitment.

Request an initial assessment