Anglo-Chinese Junior College
Quartic conjugate roots plus modulus-argument and cosine rule on an Argand diagram.
Open question & worked solutionFree practice / JC2 H2 Maths Prelim
Complex Numbers — JC2 H2 Maths Prelim Questions & Worked Solutions
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Questions & worked solutions
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Anderson Serangoon Junior College
Modulus-argument form, Argand-diagram geometry, and an exact value for tan(11π/24) via a rhombus.
Open question & worked solutionCatholic Junior College
Conjugate roots, factorising a real quartic, and trapezium area on an Argand diagram.
Open question & worked solutionDunman High School (DHS)
Parametric complex locus to ellipse, argument of a sum, and a quadratic from non-conjugate roots.
Open question & worked solutionEunoia Junior College
Complex square root, cubic roots and a substitution mapping one equation to another.
Open question & worked solutionHwa Chong Institution
Quartic roots via conjugate pairs and even symmetry, plus reciprocal-root substitution.
Open question & worked solutionJurong Pioneer Junior College
Real-coefficient cubic roots, conjugate pairs, and showing an Argand parallelogram is a square.
Open question & worked solutionNational Junior College
Solve simultaneous complex equations, then interpret w/z = i as a 90° rotation.
Open question & worked solutionNational Junior College
Find modulus and argument of a complex number, then use Argand-diagram geometry to deduce arg(2-w).
Open question & worked solutionNanyang Junior College
Argand geometry
Open question & worked solutionNanyang Junior College
Conjugate-pair roots of an imaginary-coefficient cubic, then x to -x substitution for the related cubic.
Open question & worked solutionRaffles Institution
Complex number argument under scaling and rotation, plus triangle geometry of f(z)=z^2-2z.
Open question & worked solutionRiver Valley High School
Real polynomial, complex root
Open question & worked solutionRiver Valley High School
Real polynomial, complex root
Open question & worked solutionRiver Valley High School
Triangle geometry
Open question & worked solutionSt Andrew's Junior College
Polynomials (complex coeff.)
Open question & worked solutionSt Andrew's Junior College
Simultaneous complex equations with a modulus, plus a conjugate-point Argand argument.
Open question & worked solutionTemasek Junior College
Simultaneous equations
Open question & worked solutionTampines Meridian Junior College
Real cubic; find roots
Open question & worked solutionVictoria Junior College
Modulus-argument form
Open question & worked solutionVictoria Junior College
Solve a modulus equation, find cube roots, and locate the circle through them.
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