CIE IAL · Mathematics · 9709 P3 · Complex numbers

Topic Questions: • find the two square roots of a complex number — 9709 P3 Complex numbers

10 9709 P3 Complex numbers topic questions are tagged to this syllabus point across 10 papers (2021–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

10 topic questions 10 papers 51 tagged marks 6.6% of topic questions 10.4% of topic marks 2021–2026 Syllabus 2020–2027

All 9709 P3 Complex numbers topic questions All paper codes

Core finding

This Complex numbers syllabus point appears in 10 9709 P3 papers across 2021–2026, contributing 10 topic questions and 51 marks. The most recent appearance is 9709/31 May/June 2026. That equals 6.6% of the 152 topic questions and 10.4% 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
9709/31May/June 2026 · CIE IAL	Q4 Square Roots of Complex Number - CIE Pure Mathematics 2026 Q4	FRQ	1 part	5	Medium	Go to Practice Hub
9709/32May/June 2026 · CIE IAL	Q4 Square Roots of Complex Number - CIE A Level Mathematics 2026 June Paper 32 Q4	FRQ	1 part	5	Medium	Go to Practice Hub
9709/33May/June 2026 · CIE IAL	Q7 Square Roots of Complex Number - CIE Pure Mathematics 2026 Q7	FRQ	1 part	5	Medium	Go to Practice Hub
9709/32May/June 2025 · CIE IAL	Q5 Square Roots of Complex Number - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q5	FRQ	1 part	5	Medium	Go to Practice Hub
9709/32March 2025 · CIE IAL	Q5 Square Roots of Complex Number - CIE A-Level Math 2025 Mar Paper 32 Q5	FRQ	1 part	5	Medium	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
9709/31May/June 2023 · CIE IAL	Q10 Polynomial Roots and Complex Numbers - CIE Pure Mathematics 2023 Q10	FRQ	1 of 3 parts ((c))	7 of 12 on the paper	Easy	Go to Practice Hub
9709/33October/November 2022 · CIE IAL	Q6 Complex Quadratic Equation - CIE Pure Mathematics 3	FRQ	1 part	6	Hard	Go to Practice Hub
9709/31May/June 2022 · CIE IAL	Q7 Complex Numbers Polar Form and Square Roots - CIE Pure Mathematics 2022 Jun Paper 31 Q7	FRQ	1 of 3 parts ((c))	3 of 8 on the paper	Medium	Go to Practice Hub
9709/32May/June 2021 · CIE IAL	Q5 Square Roots of Complex Number - CIE 9709 2021 Jun Paper 32 Q5	FRQ	1 part	5	Medium	Go to Practice Hub

Related topic questions in Complex numbers

• carry out operations of addition, subtraction, multiplication and division of two complex numbers expressed in Cartesian form $x + i y$ 32 question items · 30 papers 136 marks · 2020–2026 • carry out operations of multiplication and division of two complex numbers expressed in polar form $r (cos θ + i sin θ) \equiv r e^{i θ}$ 14 question items · 11 papers 35 marks · 2021–2026 • illustrate simple equations and inequalities involving complex numbers by means of loci in an Argand diagram 50 question items · 31 papers 156 marks · 2020–2026 • represent complex numbers geometrically by means of an Argand diagram 26 question items · 21 papers 80 marks · 2020–2026 • understand in simple terms the geometrical effects of conjugating a complex number and of adding, subtracting, multiplying and dividing two complex numbers 9 question items · 8 papers 17 marks · 2021–2026 • 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 32 question items · 25 papers 109 marks · 2020–2026

Topic question rules and edge cases

How many topic questions cover this syllabus point?: 10 question stems cover this subtopic across 10 papers, but only 10 tagged parts and 51 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 2021–2026. 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.