CIE IAL · Mathematics · 9709 P1 · Functions
Topic Questions: • determine whether or not a given function is one-one, and find the inverse of a one-one function in simple cases — 9709 P1 Functions
51 9709 P1 Functions topic questions are tagged to this syllabus point across 41 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Functions syllabus point appears in 41 9709 P1 papers across 2020–2026, contributing 51 topic questions and 149 marks. The most recent appearance is 9709/11 May/June 2026. That equals 23.4% of the 218 topic questions and 26.5% of the 562 marks tagged to Functions. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/11May/June 2026 · CIE IAL | Q9 Composite and Inverse Functions with Parameter - CIE Mathematics 2026 Jun Paper 11 Q9 |
FRQ | 1 of 3 parts ((a)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/12May/June 2026 · CIE IAL | Q10 Quadratic Function and Inverse Function - CIE A-Level Maths 2026 Jun Paper 12 Q10 |
FRQ | 2 of 3 parts ((b)(i), (b)(ii)) | 6 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/15May/June 2026 · CIE IAL | Q9 Rational Function Derivative Inverse Domain Range - CIE Pure Mathematics 2026 Jun Paper 15 Q9 |
FRQ | 1 of 4 parts ((b)(i)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/11October/November 2025 · CIE IAL | Q6 Composite and Inverse Functions - CIE Pure Mathematics Q6 |
FRQ | 1 of 3 parts ((b)) | 2 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2025 · CIE IAL | Q9 Derivative, Inverse, and Composite Function Domain - CIE A-Level Maths 2025 Nov Paper 12 Q9 |
FRQ | 1 of 4 parts ((b)) | 1 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2025 · CIE IAL | Q7 Inverse Function Verification - CIE A-Level Maths 2025 Q7 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/15October/November 2025 · CIE IAL | Q10 Inverse and Composite Functions - CIE Mathematics 2025 Nov Paper 15 Q10 |
FRQ | 1 of 3 parts ((b)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2025 · CIE IAL | Q10 Function Transformations and Inverse - CIE Pure Mathematics 2025 Jun Paper 11 Q10 |
FRQ | 1 of 6 parts ((c)) | 2 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/12May/June 2025 · CIE IAL | Q11 Completed Square and Inverse Composite Functions - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q11 |
FRQ | 2 of 3 parts ((b)(i), (b)(ii)) | 7 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2025 · CIE IAL | Q11 Range of Quadratic and Composite Functions - CIE 9709 2025 Jun Paper 13 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/15May/June 2025 · CIE IAL | Q9 Trigonometric Function Transformations and Composites - CIE A-Level Mathematics 2025 Jun Paper 15 Q9 |
FRQ | 1 of 4 parts ((c)) | 4 of 13 on the paper |
Medium | Go to Practice Hub |
| 9709/11October/November 2024 · CIE IAL | Q11 Quadratic Function Transformations and Inverse - CIE Mathematics 2024 Nov Paper 11 Q11 |
FRQ | 2 of 4 parts ((c), (d)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2024 · CIE IAL | Q5 Rational Function and Inverse - CIE A-Level Maths 2024 Nov Paper 12 Q5 |
FRQ | 1 of 4 parts ((a)(iii)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2024 · CIE IAL | Q8 Quadratic Function Inverse and Composite - CIE Pure Mathematics 2024 Nov Paper 13 Q8 |
FRQ | 2 of 4 parts ((b), (c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2024 · CIE IAL | Q6 Inverse Function Graph and Analysis - CIE Pure Mathematics 1 2024 Jun Q6 |
FRQ | 1 of 4 parts ((b)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2024 · CIE IAL | Q4 Composite Functions and Inverse Functions - CIE P1 2024 Jun Q4 |
FRQ | 2 of 3 parts ((a), (b)) | 3 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2024 · CIE IAL | Q11 Quadratic Functions and Inverse Intersections - CIE 9709 s24 qp 13 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2024 · CIE IAL | Q9 Composite Functions and Inverse - CIE Pure Mathematics 1 2024 March Paper 12 Q9 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/11October/November 2023 · CIE IAL | Q9 Composite and Inverse Functions - CIE Mathematics 2023 Nov Paper 11 Q9 |
FRQ | 1 of 4 parts ((d)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2023 · CIE IAL | Q8 Inverse and Composite Functions - CIE 9709 P12 2023 Nov Q8 |
FRQ | 1 of 4 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/13October/November 2023 · CIE IAL | Q7 Inverse and Composite Functions - CIE A-Level Maths 2023 Nov Paper 13 Q7 |
FRQ | 1 of 3 parts ((b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2023 · CIE IAL | Q8 Composite Functions and Inverse Function - CIE 9709 Pure Mathematics June 2023 Paper 11 Q8 |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2023 · CIE IAL | Q8 Trigonometric Function Transformations and Inverse - CIE Math 2023 Jun Paper 12 Q8 |
FRQ | 2 of 4 parts ((b), (c)) | 4 of 12 on the paper |
Medium | Go to Practice Hub |
| 9709/13May/June 2023 · CIE IAL | Q7 Rational Function Properties - CIE Pure Mathematics 1 2023 Jun Q7 |
FRQ | 1 of 3 parts ((b)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2022 · CIE IAL | Q9 | FRQ | 2 of 5 parts ((c), (d)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/13October/November 2022 · CIE IAL | Q2 Completing the Square and Inverse Function - CIE A-Level Maths 2022 Nov Paper 13 Q2 |
FRQ | 1 of 3 parts ((c)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2022 · CIE IAL | Q6 Inverse Function, Range and Composite Function - CIE 9709 s22 qp 11 Q6 |
FRQ | 1 of 3 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2022 · CIE IAL | Q10 Rational and Quadratic Functions Analysis - CIE P1 2022 Jun Q10 |
FRQ | 2 of 5 parts ((b), (d)) | 4 of 13 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2022 · CIE IAL | Q6 Quadratic Function Inverse and Composition - CIE Pure Mathematics 2022 Jun Paper 13 Q6 |
FRQ | 1 of 4 parts ((c)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/11October/November 2021 · CIE IAL | Q8 Completed Square Form and Function Transformations - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q8 |
FRQ | 2 of 5 parts ((b), (d)) | 4 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/12October/November 2021 · CIE IAL | Q3 Composite and Inverse Rational Functions - CIE Pure Mathematics 2021 Nov Paper 12 Q3 |
FRQ | 1 of 2 parts ((b)) | 3 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/13October/November 2021 · CIE IAL | Q6 Inverse and Composite Functions - CIE A-Level Mathematics 2021 Nov Paper 13 Q6 |
FRQ | 1 of 4 parts ((b)) | 4 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/11May/June 2021 · CIE IAL | Q9 Domain Range and Composite Functions - CIE 9709 P1 2021 Jun Q9 |
FRQ | 1 of 4 parts ((b)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2021 · CIE IAL | Q8 Composite and Inverse Functions - CIE P1 2021 Jun Q8 |
FRQ | 1 of 2 parts ((b)) | 3 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/12March 2021 · CIE IAL | Q7 Inverse and Composite Functions - CIE Pure Mathematics 2021 Mar Paper 12 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/12October/November 2020 · CIE IAL | Q5 Composite and Inverse Functions - CIE 9709 Nov 2020 Paper 12 Q5 |
FRQ | 1 of 2 parts ((b)) | 5 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/13October/November 2020 · CIE IAL | Q6 Inverse Function and Range Analysis - CIE 9709 Nov 2020 P13 Q6 |
FRQ | 1 of 3 parts ((a)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/11May/June 2020 · CIE IAL | Q6 Linear Functions and Composites - CIE Pure Mathematics 2020 Jun Paper 11 Q6 |
FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/12May/June 2020 · CIE IAL | Q5 Composite and Inverse Linear Functions - CIE P1 2020 Jun Q5 |
FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/13May/June 2020 · CIE IAL | Q9 Quadratic Functions and Inverses - CIE Pure Mathematics 2020 June Paper 13 Q9 |
FRQ | 2 of 4 parts ((b), (c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/12March 2020 · CIE IAL | Q9 Composite Functions and Inverse Functions - CIE A-Level Maths 2020 Mar Paper 12 Q9 |
FRQ | 1 of 4 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
Related topic questions in Functions
• identify the range of a given function in simple cases, and find the composition of two given functions
159 marks · 2020–2026
• illustrate in graphical terms the relation between a one-one function and its inverse
14 marks · 2021–2025
• understand and use the transformations of the graph of given by , , , and simple combinations of these
200 marks · 2020–2026
• understand the terms function, domain, range, one-one function, inverse function and composition of functions
62 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 41 question stems cover this subtopic across 41 papers, but only 51 tagged parts and 149 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.