Focused heavily on Pure Mathematics, including vectors, calculus, complex numbers, and sequences & series.
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: Students had to sketch circles and half-lines, such as the locus , which represents a circle with center and radius 2012 njc prelim h2 math
Paper 2 is usually where the "differentiation" between a B and an A grade student happens. The 2012 paper was no exception, featuring a particularly thorny Binomial question and a lengthy Statistics section.
: There is a heavy emphasis on integration and differentiation. For instance, questions involve finding the exact volume of solids generated by revolving regions between curves around the x-axis, which requires mastery of trigonometric and exponential integration. : There is a heavy emphasis on integration
For students preparing for the NJC Prelim H2 Math examination, we recommend the following resources:
Vectors in this paper move past basic line and plane equations. You will encounter demanding geometric proofs involving the cross product (vector product) and dot product (scalar product). You will encounter demanding geometric proofs involving the
This was one of the standout questions. It involved loci (geometry of complex numbers). The question likely required students to sketch loci involving an ellipse or a hyperbola transformation (e.g., $|z-1| + |z+1| = k$) or combined loci. Students were required to find the range of values of a modulus given certain constraints. This tested visualization skills heavily.
For the Statistics section, do not rely solely on the Graphic Calculator (GC). You must write the null/alternative hypotheses, state the level of significance, and define your variables clearly. The GC is a tool for calculation, not for answering the question.