IB Math AA HL · 2021 to 2026

5.15 Further calculus (HL only)

8 past paper questions from 6 papers across 5 exam sessions. See what repeats, then practise the same skills with AI marking.

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HL archive · 2021 to 2026

5.15 Further calculus (HL only)

Latest exam session: May 2026

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By year2micro-topics

Micro-topics in 5.15 Further calculus (HL only)

In syllabus order. The ring is the share of papers each appears in.

  • 5

    5.15.1

    The HL derivative table

    3 questions · in 5% of papers

    Less common

    last May 26 P1 TZ3

  • 6

    5.15.2

    Combining the new derivatives

    5 questions · in 6% of papers

    Occasional

    last Nov 25 P1 TZ3

Exam pattern

How often each micro-topic has been examined, year by year. Each label is explained under the grid.

Does it repeat?

Questions per year for each micro-topic.

fewermore

Micro-topic202120222023202420252026
5.15.1The HL derivative tableLess common
·The HL derivative table, 2021: 0 questions·The HL derivative table, 2022: 0 questions1The HL derivative table, 2023: 1 question·The HL derivative table, 2024: 0 questions·The HL derivative table, 2025: 0 questions2The HL derivative table, 2026: 2 questions
1Combining the new derivatives, 2021: 1 question·Combining the new derivatives, 2022: 0 questions2Combining the new derivatives, 2023: 2 questions1Combining the new derivatives, 2024: 1 question1Combining the new derivatives, 2025: 1 question·Combining the new derivatives, 2026: 0 questions
  • Less commonin fewer than one paper in fifteen
  • Occasionalin about one paper in ten

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Questions on 5.15 Further calculus (HL only), by exam session

Which papers asked about 5.15 Further calculus (HL only), and which question numbers. Open a paper to see them highlighted.

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Frequently asked questions

Short answers about this page.

Which Math AA HL exam sessions are covered for 5.15 Further calculus (HL only)?

12 exam sessions from 2021 to 2026, the latest May 2026. Every Paper 1 and 2 in every timezone is read and classified in full, which gives 6 papers in this archive.

Which 5.15 Further calculus (HL only) topic comes up most?

The HL derivative table (5.15.1): in 5% of papers, last seen May 26 P1 TZ3. Usually "Show that", worth about 3.3 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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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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