IB Math AA HL · 2021 to 2026

1.10 Counting & binomial (HL only)

56 past paper questions from 23 papers across 11 exam sessions. See what repeats, then practise the same skills with AI marking.

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HL archive · 2021 to 2026

1.10 Counting & binomial (HL only)

Latest exam session: May 2026

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By year11micro-topics

Micro-topics in 1.10 Counting & binomial (HL only)

In syllabus order. The ring is the share of papers each appears in. 2 of them have no matching questions in this archive.

  • 8

    1.10.1

    Arrangements (order matters)

    6 questions · in 8% of papers

    Occasional

    last Nov 25 P2 TZ3

  • 5

    1.10.2

    Selections (order doesn't matter)

    3 questions · in 5% of papers

    Less common

    last May 24 P1 TZ2

  • 2

    1.10.3

    Forced order

    1 question · in 2% of papers

    Less common

    last May 21 P2 TZ2

  • 0

    1.10.4

    Required person / fixed member

    No question tagged to this topic in the 63 Math AA HL papers analysed

    No matches in this archiveRevise it
  • 8

    1.10.5

    Group selections & restrictions

    5 questions · in 8% of papers

    Occasional

    last May 26 P1 TZ2

  • 13

    1.10.6

    Together restrictions

    9 questions · in 13% of papers

    Occasional

    last Nov 25 P2 TZ3

  • 6

    1.10.7

    Separation restrictions

    5 questions · in 6% of papers

    Occasional

    last May 26 P2 TZ3

  • 2

    1.10.8

    Grid arrangements

    1 question · in 2% of papers

    Less common

    last May 21 P1 TZ1

  • 5

    1.10.9

    Find n from counting

    3 questions · in 5% of papers

    Less common

    last May 25 P2 TZ3

  • 0

    1.10.10

    Mixed IB recognition practice

    No question tagged to this topic in the 63 Math AA HL papers analysed

    No matches in this archiveRevise it
  • 8

    1.10.11

    Extended binomial theorem

    8 questions · in 8% of papers

    Occasional

    last May 26 P1 TZ2

  • 10

    1.10.12

    Binomial coefficients & unknowns

    6 questions · in 10% of papers

    Occasional

    last May 25 P1 TZ2

  • 8

    1.10.13

    Validity & approximation

    9 questions · in 8% of papers

    Occasional

    last May 26 P1 TZ2

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 11 micro-topics for the next sitting. Numbers are questions per year.

fewermore

Micro-topic202120222023202420252026
1Extended binomial theorem, 2021: 1 question·Extended binomial theorem, 2022: 0 questions·Extended binomial theorem, 2023: 0 questions·Extended binomial theorem, 2024: 0 questions6Extended binomial theorem, 2025: 6 questions1Extended binomial theorem, 2026: 1 question
·Group selections & restrictions, 2021: 0 questions·Group selections & restrictions, 2022: 0 questions1Group selections & restrictions, 2023: 1 question·Group selections & restrictions, 2024: 0 questions3Group selections & restrictions, 2025: 3 questions1Group selections & restrictions, 2026: 1 question
1Validity & approximation, 2021: 1 question·Validity & approximation, 2022: 0 questions·Validity & approximation, 2023: 0 questions2Validity & approximation, 2024: 2 questions3Validity & approximation, 2025: 3 questions3Validity & approximation, 2026: 3 questions
2Together restrictions, 2021: 2 questions1Together restrictions, 2022: 1 question3Together restrictions, 2023: 3 questions2Together restrictions, 2024: 2 questions1Together restrictions, 2025: 1 question·Together restrictions, 2026: 0 questions

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Questions on 1.10 Counting & binomial (HL only), by exam session

Which papers asked about 1.10 Counting & binomial (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 1.10 Counting & binomial (HL only)?

12 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 23 papers in this archive.

Which 1.10 Counting & binomial (HL only) topic comes up most?

Extended binomial theorem (1.10.11): in 8% of papers, last seen May 26 P1 TZ2. Usually "Find", worth about 5.6 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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