IB Maths Tutor

IB Diploma Programme Mathematics is examined through two separate subjects — Analysis and Approaches (AA) and Applications and Interpretation (AI) — each offered at Standard Level (SL) and Higher Level (HL), with every student taking exactly one. Both are assessed through two written papers at SL or three at HL, worth 80% of the final grade either way, plus the Mathematical Exploration, an internally assessed investigation worth the remaining 20% of the final grade at both levels.

AA and AI share 60 hours of common Standard Level content, but diverge sharply beyond that: AA is built around pure mathematical reasoning — algebra, proof and calculus — while AI is built around modelling, statistics and technology-assisted problem solving, with technology permitted throughout, including in Paper 1. Higher Level students in both subjects sit a third paper, Paper 3, worth 20% of the final grade, with no equivalent at Standard Level.

A student studies one mathematics course only — AA or AI, not both — as part of the Diploma Programme. Regardless of which course or level a student takes, the IB requires every DP mathematics student “to appreciate the use of technology in mathematics and become proficient with graphic display calculators”, even on AA's Paper 1, where the calculator itself is not permitted in the exam room.

HL and SL: A Meaningful Difference, Not Just More Content

The IB recommends 150 teaching hours for each subject at Standard Level and 240 at Higher Level, and that extra 90 hours is not spread evenly across the syllabus. The table below sets out the IB's own recommended teaching hours by syllabus component for both AA and AI, at both levels, from the current Diploma Programme Subject Briefs for Mathematics (first assessed 2021).

The component that grows most, proportionally, from SL to HL differs between the two subjects. In AA, Number and algebra increases from 19 to 39 recommended hours — up 20 hours, a 105% increase (20 ÷ 19 = 1.05). In AI, Geometry and trigonometry increases from 18 to 46 hours — up 28 hours, a 156% increase (28 ÷ 18 = 1.56), the largest proportional jump of any component in either subject.

Both HL courses add Paper 3: one hour, technology allowed, worth 20% of the final grade, consisting of two compulsory extended-response problem-solving questions that draw on the whole syllabus rather than one topic. There is no equivalent paper at Standard Level in either subject.

Where Marks Are Lost — and Why Good Students Still Underperform

IB Maths marking is structured around method marks, answer marks and follow-through, and the mark scheme rewards mathematical communication in ways that catch capable students out. A correct final answer with insufficient working shown can receive little or no credit; an incorrect answer that demonstrates sound method can receive most of the marks available for that step. Students used to being marked mainly on the final answer need to adjust their approach deliberately.

Both subjects examine Paper 1 and Paper 2 in 1.5 hours at SL and 2 hours at HL, each worth 40% of the final grade at SL and 30% at HL. In AA, Paper 1 is the only paper without technology; in AI, every paper allows it throughout.

• In AA Paper 1, where no technology is allowed, failing to show sufficient algebraic reasoning — the absence of a calculator makes the working itself part of what is marked
• Misreading command terms — "show that", "prove", "hence" and "find" carry distinct expectations in IB mark schemes
• Losing time on Paper 3 by attempting to match a question to a known method, rather than working from first principles
• Underestimating the statistics and probability content, which carries substantial weight in AI in particular
• Treating the Exploration as secondary until it is too late to produce work of real quality

One specific piece of advice for AA HL students preparing for Paper 3: practise working with unfamiliar functions by reading the question's definitions carefully and building from them, rather than searching for a familiar form. Paper 3 is designed to reward mathematical curiosity and systematic reasoning. Students who approach it by trying to pattern-match to revision material will consistently underperform relative to their actual ability.

The Internal Assessment in IB Maths

The Mathematical Exploration is a written investigation into a mathematical topic of the student's own choosing, worth 20% of the final grade at both SL and HL under the current syllabus. The IB's own curriculum model overview sets aside 30 recommended teaching hours for “development of investigational, problem-solving and modelling skills and the exploration of an area of mathematics” at both SL and HL — the same 30 hours shown in the table above. It is an internal assessment: the IB's own guidance on Diploma Programme assessment lists ‘investigations in mathematics’ under internal, teacher-marked assessment, alongside laboratory work in the sciences and oral work in languages.

That distinction matters because it changes who marks the work. Papers 1, 2 and 3 are external assessments, marked directly by IB examiners. The Exploration is not: the IB's own account of its assessment model states that in-school assessment tasks across most Diploma Programme subjects “are either externally assessed or marked by teachers and then moderated by the IB” — the student's own teacher marks the work first, and the IB moderates a sample, rather than an examiner marking every script directly.

Choosing the right topic early, and understanding what the assessment expects at each level, makes a significant difference to the final mark. Students need a topic that engages with mathematics matching the demand of their course — SL or HL — rather than one that stays comfortably within content they already know well. For guidance that applies across every IB subject's internal assessment, see our dedicated IB Internal Assessment support page.

IB Maths Is Changing: The Syllabus for First Assessment 2029

The IB has published a revised Mathematics: analysis and approaches syllabus and a revised Mathematics: applications and interpretation syllabus, each marked ‘First assessment 2029’ in the IB's own subject briefs, dated 2026. The overall assessment weightings are unchanged: Paper 1 and Paper 2 remain worth 40% of the final grade at SL and 30% at HL each, Paper 3 remains 20% at HL only, and the Exploration remains worth 20% of the final grade at both SL and HL. Total recommended teaching hours are also unchanged, at 150 for SL and 240 for HL.

What changes is the structure underneath those weightings. Both revised courses are reorganised into five topics labelled A to E, and the six current assessment objectives — knowledge and understanding, problem solving, communication and interpretation, technology, reasoning, and inquiry approaches — are replaced by four stages of a single ‘mathematical inquiry process’: problem specification, abstraction, computation and interpretation.

The Exploration's marking model changes to match. From first assessment 2029, it is marked against four criteria worth 20 marks in total, the same for SL and HL:

Students starting the Diploma Programme now remain on the current syllabus, first assessed in 2021; the revised syllabus applies to a later cohort. A tutor working with a student today should be teaching to the syllabus that student is actually sitting, not the one due in 2029.

How a Specialist Tutor Supports IB Maths Preparation

Leading Tuition's IB Maths specialists have direct experience of the IB Mathematics syllabus specifically — its assessment philosophy, its command term expectations, the Exploration's requirements, and the particular demands of Paper 3 — rather than tutors adapting general A-Level knowledge to a different specification.

Tuition is structured around a student's actual point of difficulty, whether that is building fluency in proof and abstract reasoning for AA HL, developing statistical modelling judgement for AI, managing time across three papers, or producing an Exploration that genuinely meets the assessment's expectations. Sessions are not generic — they are built around what the IB actually tests and where a particular student's preparation has gaps. If a child needs support across other IB Diploma subjects too, our full IB tuition range covers every subject, including IB Physics.

For full curriculum information and assessment details, see the official IBO Mathematics subject page.

Leading Tuition is rated 4.8 out of 5 on Trustpilot from 59 reviews, read on 3 October 2026, and 91% of our students achieve their desired grades.

Reviewed September 2026: paper structure, timings, weightings and Mathematical Exploration marking checked against the International Baccalaureate's Diploma Programme Subject Briefs for Mathematics (first assessments 2021 and 2029) and the IB's own assessment-and-exams pages.

Frequently Asked Questions about IB Maths