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2020 ACJC Promo Q13 (A cone of radius $r$ and height $h$ has volume $V=frac{1}{3}pi {{r}^{2}}h$.) (a) An ornament consists of a sphere of fixed radius $r$ cm inscribed in
2023 CJC P2 Q6 The sales manager of a company that sells air conditioning systems presented the data of average daily temperature, $tleft( ^{circ }text{C} right)$ and sales, $s$ (in
2023 EJC P2 Q10 A batch of plants is grown and then studied to examine how well they are growing. For each plant, data on two indicators are collected: the
2023 DHS P2 Q10 The average waiting time (in minutes) for a customer to be served at a fast-food restaurant is $k$ minutes. The manager claims that with subsequent increased
2022 RVHS P2 Q10 A mobile application states that the mean time taken to travel from Town A to Park B is $14.5$ minutes. A data analyst would like to
2023 RI P2 Q8 From a school-wide survey done in 2022, it was found that the students in a certain school spend an average of $45.5$ hours per week on
2023 ASRJC Promo Q8 (a) (i) Find $frac{text{d}}{text{d}x}left( frac{{{x}^{2}}}{1-{{x}^{2}}} right)$. [1] (ii) Hence find $int frac{2xln x}{{{left( 1-{{x}^{2}} right)}^{2}}},text{d}x$. [3] (b) Using the substitution $x=sin theta $, where $0<theta <frac{pi
2022 NJC P2 Q9 Osoi is frequently late for school. His mean travelling time to school is $24.5$ minutes. The Year Head asks Osoi to take an alternative route to
2023 RVHS P2 Q11 Rectangular blocks of wood undergo crafting and lacquering to become ornaments. The masses of the rectangular blocks, $X$ g, are known to have normal distribution with
2022 ACJC P2 Q9 In this question you should state clearly all the distributions that you use, together with the values of the appropriate parameters. You should also assume that