CIE IAL · Mathematics · 9709 P3 · Complex numbers
Topic Questions: • use the result that, for a polynomial equation with real coefficients, any non-real roots occur in conjugate pairs — 9709 P3 Complex numbers
6 9709 P3 Complex numbers topic questions are tagged to this syllabus point across 5 papers (2020–2025). 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 Complex numbers syllabus point appears in 5 9709 P3 papers across 2020–2025, contributing 6 topic questions and 25 marks. The most recent appearance is 9709/33 May/June 2025. That equals 3.9% of the 152 topic questions and 5.1% of the 491 marks tagged to Complex numbers. 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 |
|---|---|---|---|---|---|---|
| 9709/33May/June 2025 · CIE IAL | Q4 Complex Conjugate Properties - CIE A-Level Math 2025 Jun Paper 33 Q4 |
FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2022 · CIE IAL | Q10 Complex Roots and Argand Locus - CIE Mathematics 2022 Jun Q10 |
FRQ | 2 of 4 parts ((a), (b)) | 7 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/33May/June 2021 · CIE IAL | Q10 Roots of Polynomial with Complex Coefficients - CIE 9709 2021 Jun Paper 33 Q10 |
FRQ | 1 of 2 parts ((b)) | 7 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/31October/November 2020 · CIE IAL | Q7 Roots of Cubic Polynomial with Complex Coefficients - CIE 9709 W20 P31 Q7 |
FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/33October/November 2020 · CIE IAL | Q7 Complex Roots of Polynomial - CIE Pure Mathematics 2020 Nov Paper 33 Q7 |
FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Complex numbers
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 5 question stems cover this subtopic across 5 papers, but only 6 tagged parts and 25 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 2020–2025. 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.