Graphs & Transformations
Reciprocal and transformation description
Open question & worked solutionFree practice / JC2 H2 Maths Prelim
National Junior College — JC2 H2 Maths Prelim Questions & Worked Solutions
Choose a question, attempt it on paper, then compare your working with the step-by-step solution.
12 questionsWorked solutionsFree to access
Questions & worked solutions
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Integration Techniques
IBP: cos (3 ln x); substitution
Open question & worked solutionRecurrence Relations
Factorial recurrence: general term and series convergence
Open question & worked solutionSystem of Linear Equations
Currency exchange: 3-variable system
Open question & worked solutionBinomial Expansion
Standard B(n,p) probabilities
Open question & worked solutionDiscrete Random Variables
Distribution; expected score
Open question & worked solutionGraphs & Transformations
Ellipse, normal and volume
Open question & worked solutionHypothesis Testing
Sample size; conclusion
Open question & worked solutionNormal Distribution
Normal approx; advanced
Open question & worked solutionComplex Numbers
Solve simultaneous complex equations, then interpret w/z = i as a 90° rotation.
Open question & worked solutionMaclaurin Series
Binomial and exponential series build a composite expansion, then integrate to approximate an integral.
Open question & worked solutionComplex Numbers
Find modulus and argument of a complex number, then use Argand-diagram geometry to deduce arg(2-w).
Open question & worked solution← All JC2 H2 Maths Prelim topics
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