National Junior College — H2 Maths Prelim Questions & Worked Solutions
2025 · Paper 1 · Graphs & TransformationsReciprocal and transformation description2025 · Paper 1 · Integration TechniquesIBP: cos (3 ln x); substitution2025 · Paper 1 · Recurrence RelationsFactorial recurrence: general term and series convergence2025 · Paper 1 · System of Linear EquationsCurrency exchange: 3-variable system2025 · Paper 2 · Binomial ExpansionStandard B(n,p) probabilities2025 · Paper 2 · Discrete Random VariablesDistribution; expected score2025 · Paper 2 · Graphs & TransformationsEllipse, normal and volume2025 · Paper 2 · Hypothesis TestingSample size; conclusion2025 · Paper 2 · Normal DistributionNormal approx; advanced2025 · Paper 1 · Complex NumbersSolve simultaneous complex equations, then interpret w/z = i as a 90° rotation.●●○2025 · Paper 1 · Maclaurin SeriesBinomial and exponential series build a composite expansion, then integrate to approximate an integral.●●●2025 · Paper 2 · Complex NumbersFind modulus and argument of a complex number, then use Argand-diagram geometry to deduce arg(2-w).●●○
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