IB Math AI SL · 2021 to 2026
Unit 5: Calculus
136 past paper questions from 29 exam sittings. See what repeats, then practise the same skills with AI marking.
Starter set: 29 AI-marked questions across the most-tested skills
2021 to 2026 · SL
Unit 5: Calculus
Latest sitting May 2026
- questions
- 136
- questions
- sittings
- 29
- sittings
- micro-topics
- 11
- micro-topics
2021 to 2026
Topics in Unit 5: Calculus
In syllabus order. The ring is the share of the marks each one carries.
5.2
Increasing and decreasing functions
2% of the marks · 3 questions
5.3
Introduction to derivatives
14% of the marks · 25 questions
5.4
Tangents and normals
7% of the marks · 9 questions
- FadingNormal Lines
5.5
Introduction to integration
21% of the marks · 25 questions
- RisingIntegration with Initial Conditions
5.6
Stationary points, local maximum and minimum
29% of the marks · 31 questions
5.7
Optimization
18% of the marks · 29 questions
5.8
Trapezoid rule
10% of the marks · 14 questions
Exam pattern
Which micro-topics repeat, and which are due, rising or fading.
Does it repeat?
Top 4 of 11 micro-topics for the next sitting. Numbers are questions per year.
fewermore
| Micro-topic | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 |
|---|---|---|---|---|---|---|
| 1 | 1 | 7 | 4 | 4 | 2 | |
| 3 | · | 10 | 4 | 5 | 7 | |
| 5 | 6 | 12 | · | 6 | 2 | |
| 1 | 1 | · | · | 4 | 2 |
4 more micro-topics with a free account
- FadingNormal Lines· last Nov 24 P1 TZ2
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See the full exam pattern
Every micro-topic in the heatmap and the complete watch list, free with an account.
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- The full exam pattern: every micro-topic and the watch list
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Explore by exam session
Where Unit 5: Calculus came up in each paper. Open a paper to see those questions highlighted.
May 2026
7 questions across 4 papers
November 2025
6 questions across 4 papers
May 2025
5 questions across 3 papers
November 2024
4 questions across 4 papers
November 2023
8 questions across 4 papers
May 2023
2 questions across 2 papers
November 2022
2 questions across 2 papers
May 2022
3 questions across 2 papers
November 2021
3 questions across 1 paper
May 2021
1 question across 1 paper
Specimen 2021
2 questions across 2 papers
Every Unit 5: Calculus question, unlocked
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Frequently asked questions
Short answers about this page.
Which Math AI SL exam sessions are covered for Unit 5: Calculus?
12 sessions from 2021 to 2026, the latest May 2026. Every Paper 1 and 2 in every timezone is read and classified in full.
Which Unit 5: Calculus topic comes up most?
The Power Rule for Polynomials (5.3.2): in 39% of sittings, last seen May 26 P2 TZ3, usually a "find / solve" question worth about 2.4 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.
What is free and what needs Pro?
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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