Applications & Interpretation HL · Topic 1 · Number & Algebra

IB Math AI HL Complex Numbers Worksheet (questions only)

Cartesian, polar and Euler forms, the Argand diagram and operations with complex numbers.

23 pages · 120 marks · questions only · free PDF for IB Mathematics: Applications and Interpretation HL students.

23pages
120marks
3difficulty levels
Nosolutions included
T1Number & Algebra

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What this AI HL complex numbers worksheet covers

Cartesian, polar and Euler forms, the Argand diagram and operations with complex numbers. The questions follow the order of the AI HL syllabus for Topic 1 (Number & Algebra) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Addition, multiplication and division in Cartesian form
Modulus and argument; converting between forms
Multiplying and dividing in polar form
Solving quadratics with complex roots
Exam tip for this topic. Check the quadrant of the argument from a sketch — the calculator's tan⁻¹ only covers two quadrants.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AI HL question bank; if you want this set marked, send it to Mr Ahmad.

More AI HL worksheets on Number & Algebra

✓ = solutions included

The same topic for other courses

Questions

Is this AI HL complex numbers worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

Stuck on a question from this sheet?

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