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Last updated

4 August 2026

pdf, 248.66 KB
pdf, 248.66 KB

Teach IB Math AA HL AHL 1.12 with a printable worksheet covering complex-number arithmetic, conjugates, quadratic equations, and the Argand plane.

Students learn how to:

• Simplify expressions involving negative square roots
• Work accurately with powers of i
• Add, subtract, multiply, and divide complex numbers
• Solve quadratic equations with complex roots
• Use conjugates to simplify expressions and quotients
• Interpret complex numbers geometrically on an Argand diagram

Carefully sequenced, exam-style questions and complete worked solutions help students develop confidence with both the algebraic and geometric aspects of complex numbers. The worksheet is ideal for classwork, homework, revision, or independent study.

Pairs well with this resource:

IB Math AA HL AHL 1.12 Complex Numbers Slides

Fully aligned with IB Mathematics: Analysis and Approaches HL AHL 1.12 – Complex Numbers.

Get this resource as part of a bundle and save up to 33%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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IB Math AI Unit 1 Worksheet Bundle - All Units Included!

This **IB Mathematics: Applications and Interpretation – Unit 1 (Worksheets 1.1–1.15)** collection provides a coherent, skills-driven foundation in algebra, functions, financial mathematics, and introductory linear algebra, aligned closely with the IB Math AI syllabus. The worksheets are carefully sequenced to build conceptual understanding alongside practical fluency, consistently emphasising interpretation, modelling, and the effective use of technology. Early worksheets develop core algebraic skills, including simplifying expressions, solving equations, and working with logarithms and indices, ensuring students can manipulate mathematical models accurately and explain their results. These foundations are extended through geometric and arithmetic sequences, infinite geometric series, and financial applications such as annuities and amortisation, where students analyse growth, decay, repayments, and long-term financial behaviour in realistic contexts. The unit then introduces more advanced representations and structures, including complex numbers, polar and exponential forms, and matrix methods. Students move from basic matrix operations to solving systems of equations, modelling real-world scenarios, and exploring transformational ideas such as eigenvalues and eigenvectors, with a clear focus on interpretation rather than abstract proof. Across all worksheets, questions are exam-style and progressively challenging, with full worked solutions that model clear mathematical communication and appropriate technological use. Together, this complete Unit 1 worksheet set supports classroom instruction, revision, and independent study, equipping IB Math AI students with the analytical tools and applied reasoning skills required for success in internal assessments and final examinations.

£30.00

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