IB Math AI HL · 2021 to 2025
Unit 3: Geometry & Trigonometry
372 past paper questions from 44 papers across 11 exam sessions. See what repeats, then practise the same skills with AI marking.
Starter set across the most-tested skills, with AI marking and model answers.
HL archive · 2021 to 2026
Unit 3: Geometry & Trigonometry
Latest exam session: May 2026
- questions
- 372
- questions
- papers
- 44
- papers
- exam sessions
- 11
- exam sessions
- micro-topics
- 20
Topics in Unit 3: Geometry & Trigonometry
In syllabus order. The ring is the share of the marks each one carries.
3.1
3D space, volume, angles, and midpoints
4% of marks53 of the 1206 marks across the 54 Math AI HL papers analysed (4%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 18 questions
3.2
2D and 3D trigonometry
8% of marks99 of the 1206 marks across the 54 Math AI HL papers analysed (8%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 31 questions
3.3
Angles of elevation and depression
3% of marks35 of the 1206 marks across the 54 Math AI HL papers analysed (3%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 12 questions
3.4
Circle arc length and area of sector (degrees)
4% of marks49 of the 1206 marks across the 54 Math AI HL papers analysed (4%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 15 questions
3.5
Line intersections and perpendicular bisectors
2% of marks24 of the 1206 marks across the 54 Math AI HL papers analysed (2%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 6 questions
3.6
Voronoi diagrams
13% of marks160 of the 1206 marks across the 54 Math AI HL papers analysed (13%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 50 questions
3.8
Unit circle & trig equations (HL only)
2% of marks25 of the 1206 marks across the 54 Math AI HL papers analysed (2%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 6 questions
3.9
Matrix transformations (HL only)
11% of marks132 of the 1206 marks across the 54 Math AI HL papers analysed (11%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 41 questions
- FadingComposition & determinant area
3.11
Vector equation of a line (HL only)
3% of marks31 of the 1206 marks across the 54 Math AI HL papers analysed (3%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 8 questions
3.12
Vectors & kinematics (HL only)
20% of marks237 of the 1206 marks across the 54 Math AI HL papers analysed (20%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 64 questions
3.13
Scalar & vector products (HL only)
8% of marks93 of the 1206 marks across the 54 Math AI HL papers analysed (8%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 28 questions
3.15
Adjacency matrices (HL only)
3% of marks41 of the 1206 marks across the 54 Math AI HL papers analysed (3%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 15 questions
3.16
Route algorithms (HL only)
19% of marks227 of the 1206 marks across the 54 Math AI HL papers analysed (19%) were on this topic. A past-paper pattern, not a guarantee for your next paper. · 78 questions
Exam pattern
How often each micro-topic has been examined, year by year. Each label is explained under the grid.
Does it repeat?
Top 4 of 20 micro-topics for the next sitting. Numbers are questions per year.
fewermore
| Micro-topic | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 |
|---|---|---|---|---|---|---|
| 17Route inspection & travelling salesman, 2021: 17 questions | 14Route inspection & travelling salesman, 2022: 14 questions | 27Route inspection & travelling salesman, 2023: 27 questions | 5Route inspection & travelling salesman, 2024: 5 questions | 9Route inspection & travelling salesman, 2025: 9 questions | 4Route inspection & travelling salesman, 2026: 4 questions | |
| 8Voronoi Diagrams — Construction, 2021: 8 questions | 17Voronoi Diagrams — Construction, 2022: 17 questions | 5Voronoi Diagrams — Construction, 2023: 5 questions | 6Voronoi Diagrams — Construction, 2024: 6 questions | 14Voronoi Diagrams — Construction, 2025: 14 questions | ·Voronoi Diagrams — Construction, 2026: 0 questions | |
| 7Sine Rule and Cosine Rule, 2021: 7 questions | 2Sine Rule and Cosine Rule, 2022: 2 questions | 8Sine Rule and Cosine Rule, 2023: 8 questions | 8Sine Rule and Cosine Rule, 2024: 8 questions | 3Sine Rule and Cosine Rule, 2025: 3 questions | 2Sine Rule and Cosine Rule, 2026: 2 questions | |
| 9Vectors in kinematics — position, velocity, speed, 2021: 9 questions | 10Vectors in kinematics — position, velocity, speed, 2022: 10 questions | 6Vectors in kinematics — position, velocity, speed, 2023: 6 questions | 6Vectors in kinematics — position, velocity, speed, 2024: 6 questions | 6Vectors in kinematics — position, velocity, speed, 2025: 6 questions | ·Vectors in kinematics — position, velocity, speed, 2026: 0 questions |
4 more micro-topics with a free account
- FadingComposition & determinant area· last Nov 24 P2
- Fadingused to appear, but not seen for two years or more
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Questions on Unit 3: Geometry & Trigonometry, by exam session
Which papers asked about Unit 3: Geometry & Trigonometry, and which question numbers. Open a paper to see them highlighted.
May 2026
6 questions across 3 papers
May 2025
16 questions across 8 papers
November 2024
5 questions across 2 papers
May 2024
12 questions across 5 papers
November 2023
6 questions across 2 papers
May 2023
21 questions across 7 papers
November 2022
7 questions across 2 papers
May 2022
12 questions across 6 papers
November 2021
5 questions across 3 papers
May 2021
13 questions across 4 papers
Specimen 2021
6 questions across 2 papers
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Frequently asked questions
Short answers about this page.
Which Math AI HL exam sessions are covered for Unit 3: Geometry & Trigonometry?
11 exam sessions from 2021 to 2026, the latest May 2026. Every Paper 1, 2 and 3 in every timezone is read and classified in full, which gives 44 papers in this archive.
Which Unit 3: Geometry & Trigonometry topic comes up most?
Route inspection & travelling salesman (3.16.2): in 28% of papers, last seen May 26 P3 TZB. Usually "find / solve", worth about 14.9 marks in a paper that includes it.
Can I see the original question and mark scheme?
No. The wording belongs to the IB. You get the citation, the marks, the command term and the skill tested, plus our own matched practice questions with worked answers and AI marking.
What do "banker", "due" and "rising" mean?
Banker: examined in at least one sitting in four and still appearing. Due: regular before, but absent for the last two exam sessions. Rising: clearly more common in the last two years. Our classification of real papers, not an IB statistic.
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