IB Math AA HL · 2021 to 2026
Unit 2: Functions
325 past paper questions from 55 exam sittings. See what repeats, then practise the same skills with AI marking.
Starter set: 30 AI-marked questions across the most-tested skills
2021 to 2026 · HL
Unit 2: Functions
Latest sitting May 2026
- questions
- 325
- questions
- sittings
- 55
- sittings
- micro-topics
- 35
- micro-topics
2021 to 2026
Topics in Unit 2: Functions
In syllabus order. The ring is the share of the marks each one carries.
2.1
Straight lines
2% of the marks · 6 questions
2.2
Functions, domain & range
4% of the marks · 25 questions
- DueFunction notation
2.3
Graphing
6% of the marks · 16 questions
- DueSketching graphs
2.4
Key features of graphs
7% of the marks · 29 questions
- DueGDC intersections
- DueKey features
2.5
Composite & inverse functions
10% of the marks · 31 questions
- DueFinding the inverse
2.6
Quadratic functions
4% of the marks · 16 questions
- RisingVertex & axis of symmetry
2.7
Quadratic equations & discriminant
14% of the marks · 33 questions
2.8
Rational functions & asymptotes
5% of the marks · 19 questions
2.9
Exponential & log functions
2% of the marks · 10 questions
2.10
Solving equations
2% of the marks · 7 questions
- FadingSolving equations
2.11
Transformations
3% of the marks · 8 questions
2.12
Factor & remainder (HL only)
21% of the marks · 60 questions
- DueFactor & remainder theorems
- DueFinding all the roots & sketching
2.13
Rational functions (HL only)
8% of the marks · 28 questions
2.14
Odd, even & self-inverse (HL only)
4% of the marks · 17 questions
- DueOdd & even functions
2.15
Inequalities (HL only)
2% of the marks · 6 questions
2.16
Modulus functions (HL only)
5% of the marks · 14 questions
Exam pattern
Which micro-topics repeat, and which are due, rising or fading.
Does it repeat?
Top 4 of 35 micro-topics for the next sitting. Numbers are questions per year.
fewermore
| Micro-topic | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 |
|---|---|---|---|---|---|---|
| 6 | 3 | 3 | 1 | 3 | · | |
2.12.2Sum & product of roots | 4 | 12 | 5 | 5 | 4 | 2 |
2.5.1Composite functions | 3 | 3 | 4 | · | 12 | · |
| 4 | 2 | 6 | 5 | 2 | · |
4 more micro-topics with a free account
- DueFactor & remainder theorems· last May 25 P2 TZ3
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Every micro-topic in the heatmap and the complete watch list, free with an account.
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Explore by exam session
Where Unit 2: Functions came up in each paper. Open a paper to see those questions highlighted.
May 2026
3 questions across 2 papers
November 2025
10 questions across 5 papers
May 2025
18 questions across 9 papers
November 2024
6 questions across 3 papers
May 2024
14 questions across 6 papers
November 2023
9 questions across 3 papers
May 2023
15 questions across 6 papers
November 2022
7 questions across 3 papers
May 2022
13 questions across 6 papers
November 2021
8 questions across 3 papers
May 2021
13 questions across 6 papers
Specimen 2021
6 questions across 3 papers
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Frequently asked questions
Short answers about this page.
Which Math AA HL exam sessions are covered for Unit 2: Functions?
12 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 Unit 2: Functions topic comes up most?
Sketching graphs (2.3.1): in 25% of sittings, last seen May 25 P3 TZ2, usually a "sketch" question worth about 2.9 marks.
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 practice questions of the same shape 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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Reading this page and the exam pattern is free. A free account generates three sets of ten questions and launches one practice set. Pro opens every question in any scope, sets of twenty or all, and unlimited practice.
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