Further MathsFurther Pure Mathematics
Complex numbers
Algebra, Argand diagrams, modulus-argument form, roots, loci, and transformations.
37 worksheets38 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Complex algebra and polar form
Step 1 · 5 worksheets · 5 questions
- Complex Conjugate PropertiesComplex Numbers · 1 questionPractise in MathLab →
- Sum In Exponential FormComplex Numbers · 1 questionPractise in MathLab →
- Modulus And Argument ProductComplex Numbers · 1 questionPractise in MathLab →
- Solve The Complex EquationComplex Numbers · 1 questionPractise in MathLab →
- Complex Numbers With ParametersComplex Numbers · 1 questionPractise in MathLab →
- IntroPractice
Roots, De Moivre methods and series
Step 2 · 13 worksheets · 13 questions
- De Moivre Identity And RootsComplex Numbers · 1 questionPractise in MathLab →
- Fourth Roots And Argand DiagramComplex Numbers · 1 questionPractise in MathLab →
- Roots Of A CubicComplex Numbers · 1 questionPractise in MathLab →
- Quartic From Complex RootsComplex Numbers · 1 questionPractise in MathLab →
- Quartic Roots Forming A SquareComplex Numbers · 1 questionPractise in MathLab →
- Quartic Roots And ArgumentsComplex Numbers · 1 questionPractise in MathLab →
- Regular Pentagon VerticesComplex Numbers · 1 questionPractise in MathLab →
- Equilateral Triangle In An Argand DiagramComplex Numbers · 1 questionPractise in MathLab →
- Cubic Roots And Triangle AreaComplex Numbers · 1 questionPractise in MathLab →
- Geometric Series With Complex ArgumentComplex Numbers · 1 questionPractise in MathLab →
- Cosine Power IdentityComplex Numbers · 1 questionPractise in MathLab →
- Express Sin Fifth Power And IntegrateComplex Numbers · 1 questionPractise in MathLab →
- Infinite Trigonometric SeriesComplex Numbers · 1 questionPractise in MathLab →
- PracticeChallenge
Argand diagrams and loci
Step 3 · 16 worksheets · 17 questions
- Argand Region SketchComplex Numbers · 1 questionPractise in MathLab →
- Circle And Real Part RangeComplex Numbers · 1 questionPractise in MathLab →
- Shade A Region And Find W 2Complex Numbers · 1 questionPractise in MathLab →
- Range Of RComplex Numbers · 1 questionPractise in MathLab →
- Annular Region AreaComplex Numbers · 1 questionPractise in MathLab →
- Circle And Tangent LineComplex Numbers · 1 questionPractise in MathLab →
- Circle Locus With ParameterComplex Numbers · 1 questionPractise in MathLab →
- Arc LocusComplex Numbers · 1 questionPractise in MathLab →
- Circle Locus And Maximum ModulusComplex Numbers · 1 questionPractise in MathLab →
- Arc Locus And Maximum ModulusComplex Numbers · 1 questionPractise in MathLab →
- Circle Locus And RegionComplex Numbers · 2 questionsPractise in MathLab →
- Complex Number And Argument LocusComplex Numbers · 1 questionPractise in MathLab →
- Shade A Region And Maximum ArgumentComplex Numbers · 1 questionPractise in MathLab →
- Least Modulus On Argument LocusComplex Numbers · 1 questionPractise in MathLab →
- Locus Region And AreaComplex Numbers · 1 questionPractise in MathLab →
- Polar Form And Distance To A LocusComplex Numbers · 1 questionPractise in MathLab →
- Challenge
Complex transformations
Step 4 · 3 worksheets · 3 questions
Ready to practise?
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