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We cannot cross-multiply directly as we do not know the sign of the denominators $(x-3)$ and $(x-4)$. We must bring everything to a single fraction.
If you are a current JC2 student (2024/2025 cohort), here is a step-by-step strategy to utilize this paper without wasting time.
NJC 2012 tested DRV in a non-standard manner. Instead of a simple table, the question might have defined the variable based on another probability context (e.g., "Let $X$ be the number of successful throws out of 3"). This linked Binomial concepts with DRV expectations ($E(X)$ and $\textVar(X)$). 2012 njc prelim h2 math
According to the 2012 NJC H2 Math Prelim Paper 2 Solutions , the paper tested several high-level skills:
To tackle the unique challenges presented in the 2012 NJC Prelim paper, integrate these three tactical habits into your practice sessions: We cannot cross-multiply directly as we do not
NJC set a difficult question involving composite functions and domains/ranges. Specifically, questions involving $fg(x)$ required students to determine the exact domain resulting from a composition where the range of $f$ had to be carefully intersected with the domain of $g$. This question trapped many students who simply assumed the domain was the domain of the "inner" function without checking for validity.
Solving first-order differential equations where variables must be meticulously isolated before integrating via substitution or integration by parts. 📊 Core Statistics Themes 1. Permutations and Combinations (P&C) NJC 2012 tested DRV in a non-standard manner
be the random variable representing the weight of..." before writing down equations.