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L3 Complex Numbers

AS91577

Apply the algebra of complex numbers in solving problems

AS91577 is the complex numbers exam in Level 3 Calculus. As well as complex numbers themselves (rectangular and polar form, Argand diagrams, De Moivre’s theorem, solving equations in z, and loci), it tests the algebra they rest on: surds, quadratics and the discriminant, cubic equations, and the remainder and factor theorems. Some question types were in every NZQA paper from 2013 to 2025: a remainder or factor theorem question, a cubic with one root given, and finding roots with De Moivre’s theorem.

Assessed by external examination at the end of the year.

Practise by subtopic

Surds Practise → Quadratics Practise → Rectangular/Polar Practise → Argand Diagrams Practise → Solving Practise → De Moivre & Roots Practise → Factor/Remainder Practise → Polynomials Practise → Loci Practise → Proofs Practise →

Past exam papers

Every NZQA exam since 2013, with marking schedules and examiners’ reports Past papers →

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