Complex Numbers — H2 Maths Prelim Questions & Worked Solutions
Anglo-Chinese Junior College · 2025 · Paper 1Quartic conjugate roots plus modulus-argument and cosine rule on an Argand diagram.●●●Anderson Serangoon Junior College · 2025 · Paper 2Modulus-argument form, Argand-diagram geometry, and an exact value for tan(11π/24) via a rhombus.●●●Catholic Junior College · 2025 · Paper 2Conjugate roots, factorising a real quartic, and trapezium area on an Argand diagram.●●●Dunman High School (DHS) · 2025 · Paper 1Parametric complex locus to ellipse, argument of a sum, and a quadratic from non-conjugate roots.●●●Eunoia Junior College · 2025 · Paper 1Complex square root, cubic roots and a substitution mapping one equation to another.●●●Hwa Chong Institution · 2025 · Paper 1Quartic roots via conjugate pairs and even symmetry, plus reciprocal-root substitution.●●●Jurong Pioneer Junior College · 2025 · Paper 2Real-coefficient cubic roots, conjugate pairs, and showing an Argand parallelogram is a square.●●○National Junior College · 2025 · Paper 1Solve simultaneous complex equations, then interpret w/z = i as a 90° rotation.●●○National Junior College · 2025 · Paper 2Find modulus and argument of a complex number, then use Argand-diagram geometry to deduce arg(2-w).●●○Nanyang Junior College · 2025 · Paper 1Argand geometry●●●Nanyang Junior College · 2025 · Paper 2Conjugate-pair roots of an imaginary-coefficient cubic, then x to -x substitution for the related cubic.●●○Raffles Institution · 2025 · Paper 1Complex number argument under scaling and rotation, plus triangle geometry of f(z)=z^2-2z.●●●River Valley High School · 2025 · Paper 1Real polynomial, complex root●●○River Valley High School · 2025 · Paper 1Real polynomial, complex root●●●River Valley High School · 2025 · Paper 2Triangle geometry●●○St Andrew's Junior College · 2025 · Paper 2Polynomials (complex coeff.)●●○St Andrew's Junior College · 2025 · Paper 1Simultaneous complex equations with a modulus, plus a conjugate-point Argand argument.●●○Temasek Junior College · 2025 · Paper 1Simultaneous equations●●○Tampines Meridian Junior College · 2025 · Paper 1Real cubic; find roots●●●Victoria Junior College · 2025 · Paper 2Modulus-argument form●●○Victoria Junior College · 2025 · Paper 1Solve a modulus equation, find cube roots, and locate the circle through them.●●●
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