Sub-Topics Calculus Syllabus Mix Predictions Grade Boundaries Predicted Papers
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IB Math AA SL Past Paper Analysis 2021–2025

Marks-weighted analysis of 330 questions across 2,960 marks from 18 IB Math AA SL exam sittings — sub-topic breakdown, calculus deep-dive, official grade boundaries, and Photon Academy's predictions for May 2026.

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330
Questions Analysed
2,960
Total Marks
18
Exam Sittings
5
Years of Data
Methodology: Every question from 37 IB Math AA SL papers (Paper 1 and Paper 2) across 18 exam sittings has been analysed. Marks are allocated to the 5 IB syllabus topics. When a question spans multiple topics, marks are distributed equally to prevent double-counting.
SL Paper Structure: Paper 1 — 80 marks, 90 minutes, no calculator. Paper 2 — 80 marks, 90 minutes, calculator required. Total: 160 marks per sitting. No Paper 3 at SL.

What IB Actually Tests — Sub-Topic Breakdown

23 distinct sub-topics ranked by % of total marks. Colour-coded by syllabus topic — this is the chart that matters most for revision planning.

Calculus Dominates — 27.7% of All Marks

The top 4 sub-topics are ALL calculus. Here's how those marks break down.

Calculus Sub-topics

Calculus: P1 vs P2

Optimization and kinematics are heavier on P2 (calculator). Differentiation basics are heavier on P1 (no calculator).

5 Syllabus Topics — Overview

The 5 broad IB syllabus topics and their marks share.

Marks Share by Topic

Paper 1 vs Paper 2

Section B Appearances by Topic

How often each topic appears as a big question (13–16 marks). Calculus dominates with 18 Section B appearances across 37 papers.

Year-over-Year Trends

Stats & Trig — Sub-topic Deep Dive

Breaking down the other high-weight topics into their tested components.

Statistics & Probability Sub-topics

Geometry & Trig Sub-topics

What Stands Out

Five years of SL data, six findings worth memorising before May 2026.

Biggest Topic

Calculus dominates at 27.7%

Over a quarter of all marks. Optimisation and integration are the most tested skills, appearing as Section B questions in nearly every paper. See our Differentiation and Integration cheatsheets.

Paper Split

Stats is P2-heavy

23% of P2 marks vs 18% of P1. Normal distribution and regression appear almost exclusively on the calculator paper. See Probability Distributions.

Consistent

Trig steady at ~19%

Geometry & Trigonometry holds at roughly 19% every year. Sine/cosine rule and arc/sector problems appear in virtually every sitting — see our Trigonometry cheatsheet.

Every Paper

Sequences in every sitting

Arithmetic and geometric sequences (AP/GP) appear in virtually every exam sitting. A reliable, high-frequency topic — see Sequences & Series.

Declining

Functions dropping: 17% → 14%

Functions share has declined over the 5-year window. Less standalone function questions — increasingly embedded within calculus problems.

Style Shift

Post-2024 guided format

More "show that" sub-parts, smaller mark allocations per part, and more accessible entry points. Same structural shift observed at HL.

May 2026 Predictions — Math AA SL

Paper 1 Section B (~45 marks)

  • Q7 [~14]: Calculus — differentiation, optimisation or kinematics
  • Q8 [~15]: Sequences OR Statistics
  • Q9 [~16]: Functions + Calculus combined

Paper 2 Section B (~45 marks)

  • Q7 [~14]: Statistics — normal + binomial OR regression application
  • Q8 [~15]: Trig modelling OR 3D geometry / bearings
  • Q9 [~16]: Calculus — optimisation OR kinematics with integration

Style — post-Nov 2024 shift

  • ~50% of sub-parts will be "Show that"
  • Accessible entry: "Write down" for [1]
  • Real-world contexts throughout both papers
  • Diagrams given as context for geometry/trig

Watch These Topics

  • Optimisation: Appears in nearly every paper
  • Kinematics: Reliable Section B calculus application
  • Normal distribution: Always on P2, often paired with binomial
  • Arc/sector: Tested every session, often early Section A

Student Difficulty Heat Map

How well candidates actually performed on each topic, session by session. Synthesised from 15 official IB examiner subject reports (M22–N25).

Topic Performance by Exam Session

TopicM22 T1M22 T2N22M23 T1M23 T2N23 T1N23 T2M24 T1M24 T2N24 T1N24 T2M25 T1M25 T2M25 T3N25 T3
FunctionsWellMixedWellWellPoorMixedWellPoorMixedPoorPoorMixedPoorPoorPoor
DifferentiationPoorMixedPoorWellPoorWellPoorMixedPoorPoorMixedWellPoorPoorPoor
IntegrationPoorPoorPoorMixedPoorPoorPoorPoorMixedMixedMixedMixedPoorPoorPoor
TrigonometryPoorPoorMixedMixedWellMixedMixedMixedPoorMixedMixedPoorMixedMixedPoor
Sequences & SeriesWellWellWellPoorMixedPoorPoorMixedMixedWellWellMixedMixedMixedMixed
ProbabilityPoorPoorMixedMixedPoorMixedMixedMixedMixedPoorPoorMixedWellPoorPoor
StatisticsMixedMixedWellPoorMixedMixedPoorMixedPoorWellWellMixed--MixedPoor
Binomial TheoremMixedMixedPoorPoorPoorPoorPoor----MixedMixedWellPoorWell--
Exponents & Logarithms----MixedPoorMixedPoorMixedPoorMixedPoorPoorPoor--MixedPoor
ModellingPoor--PoorMixedWell----MixedMixedMixedMixedMixedMixedPoor--
Well done Mixed Poorly done Not tested

Ratings synthesised from examiner commentary across 15 IB Math AA SL subject reports (May 2022 – Nov 2025). "Well" = examiners noted strong candidate performance; "Poor" = a common area of difficulty.

Common Errors & Misconceptions

The ten mistakes IB examiners flag most often across five years of Math AA SL reports — fix these before May 2026.

1

Premature rounding & accuracy

By far the most-cited fault: rounding intermediate values too early, or giving answers to 2 s.f. or decimal places instead of the required 3 significant figures. Keep at least 5 s.f. in working and use GDC storage between parts.

2

Calculator in the wrong angle mode

Trigonometric work done in degrees when radians were intended (or vice-versa), producing impossible answers — e.g. in sector-area and modelling questions. Always check the mode before a trig question.

3

Probability independence & addition errors

Treating dependent events as independent and multiplying probabilities, assuming events are mutually exclusive, ignoring the intersection term in P(A∪B), or misapplying conditional probability to give values above 1.

4

Kinematics: distance vs displacement

Omitting the absolute value of velocity when integrating for distance travelled, using t=0 instead of v=0 for ‘at rest’, and substituting t into the derivative rather than integrating with initial conditions.

5

‘Show that’ worked backwards

Starting from the given result instead of deriving it independently — which earns no marks — and ignoring ‘hence’ links between parts. Show clear, sufficient steps for every ‘show that’ and ‘prove’ task.

6

Not using the GDC efficiently

Attempting long analytic methods (roots, derivatives at a point, means from a table, inequalities) where the GDC solver or graph would be faster and more accurate, then losing marks to avoidable slips.

7

Differentiation & tangent slips

Substituting x into the tangent equation instead of the derivative to find a slope, applying the power rule without the chain rule, confusing quotient and power rules, and giving a tangent as l=… not the required y=… form.

8

Leaving answers unfinished

Not evaluating the final expression, omitting the constant of integration, or leaving unsimplified surds, fractions and logs (e.g. √(12/0.75), log₂32) — costing the final accuracy or answer mark.

9

Poor notation & presentation

Writing asymptotes as a number or ‘h.a.=’ instead of the equation y=…, using calculator/computer notation as a final answer, incorrect interval/inequality notation, and dropped brackets when squaring or subtracting.

10

Logarithm & exponent law errors

Applying logs to individual terms, e.g. ln(2x−6)=ln2x−ln7, writing log₂2³ as p³ rather than 3p, not recognising log1=0 or the change-of-base rule, and mishandling e⁰ and exponential-model rate constants.

IB Grade Boundaries — Math AA SL

Official IB grade boundaries for SL. Source: published IB Grade Boundary documents.

Grade 7 Boundary Over Time (% required)

Full Grade Boundary Table — Math AA SL (All Sessions 2021–2025)

SessionG1G2G3G4G5G6G7
N25 TZ3031323536780
N25 TZ1071728435870
M25 TZ30102133486277
M25 TZ2031023395470
M25 TZ1071725385265
N24 TZ2071725385265
N24 TZ10101930445976
M24 TZ2081830445975
M24 TZ10102133486479
N23 TZ2091729435775
N23 TZ10112134516479
M23 TZ20101931436076
M23 TZ1091728425672
N22 TZ00142434486175
M22 TZ20112134496377
M22 TZ1081830445973
M21 TZ204919344663
M21 TZ104915294563

Average G7: 74.4%. Average G5: 44.5%. Source: Official IB Grade Boundary documents.

Grade 7

63%–80% range for a 7

SL Grade 7 ranged from 63% (May 2021, COVID) to 80% (Nov 2025 TZ3). Average: 74.4%. Post-COVID normal: 70–79%.

Grade 5

29%–53% gets a 5

Average Grade 5 boundary is 44.5%. Roughly 45% of total marks — achievable by mastering Section A.

Prediction

May 2026: ~72–76% for Grade 7

Boundaries normalised at 70–79% post-2022. With the more guided style, expect ~74% for May 2026.

Photon AA SL Predicted Papers — May 2026

Six full predicted paper sets written by Photon Academy in IB exam style. Each set has Paper 1 (no calc) and Paper 2 (calc) with full markschemes. Sets 1 and 2 are free. Sets 3–6 unlock with Math Resources lifetime access (same SKU as AA HL — one purchase covers both).

Set 1Free
Set 2Free
Set 3Lifetime
Set 4Lifetime
Set 5Lifetime
Set 6Lifetime

Open the Predicted Papers viewer to read sets 1–2 in your browser, side-by-side with markschemes. Sets 3–6 unlock automatically once you have Lifetime Library access for AA SL.

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