CIE IAL · Mathematics · 9709 P3 · Complex numbers

Topic Questions: • understand the idea of a complex number, recall the meaning of the terms real part, imaginary part, modulus, argument, conjugate, and use the fact that two complex numbers are equal if and only if both real and imaginary parts are equal — 9709 P3 Complex numbers

32 9709 P3 Complex numbers topic questions are tagged to this syllabus point across 25 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.

32 topic questions 25 papers 109 tagged marks 21.1% of topic questions 22.2% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Complex numbers syllabus point appears in 25 9709 P3 papers across 2020–2026, contributing 32 topic questions and 109 marks. The most recent appearance is 9709/32 March 2026. That equals 21.1% of the 152 topic questions and 22.2% 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.

PaperQuestionTypePartsMarksDifficultyPractice
9709/32March 2026 · CIE IAL Q5
Argument and Modulus of Complex Expression - CIE P3 2026 Mar Q5
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/31October/November 2025 · CIE IAL Q5
Argand Diagram Loci and Argument Optimization - CIE Pure Mathematics 2025 Nov Q5
FRQ 1 of 2 parts ((b)) 3
of 6 on the paper
Medium Go to Practice Hub
9709/32October/November 2025 · CIE IAL Q3
Complex Numbers Argand Region and Max Argument - CIE A Level Maths 2025 Winter P32 Q3
FRQ 2 parts ((a), (b)) 5 Medium Go to Practice Hub
9709/33October/November 2025 · CIE IAL Q7
Complex Equations with Conjugate - CIE Pure Mathematics 2025 Nov Paper 33 Q7
FRQ 1 part 6 Hard Go to Practice Hub
9709/35October/November 2025 · CIE IAL Q5
Complex Equation with Conjugate - CIE A Level Mathematics 2025 Winter Paper 35 Q5
FRQ 1 part 5 Medium Go to Practice Hub
9709/33May/June 2025 · CIE IAL Q4
Complex Conjugate Properties - CIE A-Level Math 2025 Jun Paper 33 Q4
FRQ 1 of 2 parts ((a)) 3
of 6 on the paper
Medium Go to Practice Hub
9709/33May/June 2025 · CIE IAL Q6
Complex Number Loci and Solutions - CIE A-Level Math 2025 Jun Paper 33 Q6
FRQ 1 part 6 Hard Go to Practice Hub
9709/32March 2025 · CIE IAL Q3
Complex Loci in Argand Diagram - CIE A-Level Math 2025 Mar Paper 32 Q3
FRQ 1 of 2 parts ((b)) 3
of 6 on the paper
Easy Go to Practice Hub
9709/31October/November 2024 · CIE IAL Q8
Complex Number Inversion and Loci - CIE A-Level Maths 2024 Nov Paper 31 Q8
FRQ 1 of 4 parts ((b)) 3
of 9 on the paper
Easy Go to Practice Hub
9709/33October/November 2024 · CIE IAL Q4
Solving Complex Number Equation - CIE A-Level Pure Mathematics 2024 Nov Q4
FRQ 1 part 5 Medium Go to Practice Hub
9709/31May/June 2024 · CIE IAL Q4
Polar and Exponential Form of Complex Numbers - CIE A-Level Maths 2024 Jun Paper 31 Q4
FRQ 1 of 2 parts ((a)) 2
of 4 on the paper
Easy Go to Practice Hub
9709/33May/June 2024 · CIE IAL Q3
Square Roots of Complex Number - CIE A-Level Pure Mathematics
FRQ 1 part 5 Medium Go to Practice Hub
9709/32March 2024 · CIE IAL Q3
Exponential Form of Complex Numbers - CIE 9709 March 2024 Paper 32 Q3
FRQ 1 of 2 parts ((a)) 3
of 6 on the paper
Easy Go to Practice Hub
9709/32October/November 2023 · CIE IAL Q8
Complex Equality with Real Constants - CIE 9709 2023 Nov Paper 32 Q8
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/32May/June 2023 · CIE IAL Q5
Complex Polynomial Evaluation and Argument - CIE Pure Mathematics 2023 Q5
FRQ 1 of 2 parts ((b)) 3
of 6 on the paper
Medium Go to Practice Hub
9709/33May/June 2023 · CIE IAL Q11
Complex Number Argument and Exponential Form - CIE Pure Mathematics 3 2023 Jun Q11
FRQ 1 of 2 parts ((a)) 6
of 9 on the paper
Hard Go to Practice Hub
9709/32March 2023 · CIE IAL Q2
Argand Diagram Loci and Argument - CIE Pure Mathematics 2023 Mar Paper 32 Q2
FRQ 1 of 2 parts ((b)) 2
of 5 on the paper
Medium Go to Practice Hub
9709/32October/November 2022 · CIE IAL Q5
Complex Roots Quadratic and Argand Diagram - CIE Pure Mathematics 2022 Nov Paper 32 Q5
FRQ 1 of 4 parts ((c)) 3
of 8 on the paper
Easy Go to Practice Hub
9709/33October/November 2022 · CIE IAL Q5
Argand Diagram Loci and Max Argument - CIE Pure Mathematics 3
FRQ 1 of 2 parts ((b)) 2
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 1 of 4 parts ((d)) 2
of 11 on the paper
Medium Go to Practice Hub
9709/33May/June 2022 · CIE IAL Q5
Argand Diagram Geometry and Inverse Tangent Identity - CIE A Level Mathematics 2022 Jun Paper 33 Q5
FRQ 1 of 3 parts ((c)) 2
of 8 on the paper
Easy Go to Practice Hub
9709/32March 2022 · CIE IAL Q6
Complex Numbers Equation with Conjugate - CIE A Level Mathematics 2022 Mar Paper 32 Q6
FRQ 1 part 6 Medium Go to Practice Hub
9709/32October/November 2021 · CIE IAL Q3
Complex Conjugates and Equations - CIE A-Level Mathematics 2021 Nov Paper 32 Q3
FRQ 2 parts ((a), (b)) 6 Easy Go to Practice Hub
9709/32October/November 2021 · CIE IAL Q5
Argand Diagram Region and Maximum Argument - CIE A-Level Mathematics 2021 Nov Paper 32 Q5
FRQ 1 of 2 parts ((b)) 3
of 7 on the paper
Medium Go to Practice Hub
9709/31May/June 2020 · CIE IAL Q10
Complex Numbers and Argand Diagram Loci - CIE 2020 Jun Paper 31 Q10
FRQ 2 of 4 parts ((a)(ii), (b)(ii)) 5
of 12 on the paper
Medium Go to Practice Hub
9709/33May/June 2020 · CIE IAL Q9
Complex Number Equations and Argand Diagram Loci - CIE Pure Mathematics 2020 Jun Q9
FRQ 1 of 2 parts ((a)) 5
of 10 on the paper
Medium Go to Practice Hub
9709/32March 2020 · CIE IAL Q10
Complex Simultaneous Equations and Locus - CIE Pure Mathematics 3 March 2020 Q10
FRQ 1 of 3 parts ((b)(ii)) 2
of 10 on the paper
Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
27 question stems cover this subtopic across 25 papers, but only 32 tagged parts and 109 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.