# H2 Math Student Only

#### Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

Hope you find our articles enjoyable and have a great time learning math! 😁

ACJC Hypothesis Testing Tutorial Q11 The random variable $X$ has a normal distribution with mean $mu$ (unknown) and variance ${{sigma }^{2}}$ (known). To test the null hypothesis ${{H}_{0}}:mu ={{mu Read More ### 2022 JPJC P2 Q10 2022 JPJC P2 Q10 The Electronic Road Pricing (ERP) system is the primary method of regulating traffic in Singapore. ERP rates are determined based on traffic conditions. If the average Read More ### 2018 CJC P2 Q10 2018 CJC P2 Q10 In a large busy restaurant, the mean time taken for a server to clear a table and set it for the next guest is$4.5$minutes. Read More ### 2022 MI P2 Q10 2022 MI P2 Q10 A marine biologist claims that the mean mass of an adult sockeye salmon is at least$4.2$kg. The mass,$x$kg, of each adult sockeye salmon in Read More ### 2022 CJC P2 Q12 2022 CJC P2 Q12 A virologist claims that due to the introduction of vaccine, the recovery period from a certain type of flu-like virus is on average$7$days. However, Read More ### 2021 ASRJC P2 Q11 2021 ASRJC P2 Q11 An airline which charter various flights within the United States of America has a flight route that travels from New Orleans to Miami. The airline claims Read More ### 2022 ASRJC P2 Q8 2022 ASRJC P2 Q8 In a public swimming centre, the time spent by a randomly chosen user in using its facilities is$T$minutes, is known to be normally distributed. Read More ### 2022 ACJC Promo Q9 2022 ACJC Promo Q9 It is given that$text{f}left( x right)={{x}^{2}}-6x+5$, for$1<xle 5$,$text{g}left( x right)={{x}^{2}}-6x+5$, for$1<x<3$,$text{h}left( x right)=left{ begin{matrix}ln x,text{for}0<xle 1, \{{x}^{2}}-6x+5text{for}1<xle 5, \end{matrix} right.$and that$text{h}left(

2022 SAJC Promo Q6 The function $text{f}$ is defined by $text{f}:xmapsto {{x}^{2}}+4x-4$ for $xin mathbb{R}$, $x<-2$. (a) (i) Explain why ${{text{f}}^{-1}}$ exists. [1] (ii) Sketch on the same diagram, the
2022 TJC Promo Q9 The function $text{f}$ is defined by $text{f}:xmapsto ln left( {{x}^{2}}-4 right)$ for $2<xle 8$. (i) Find ${{text{f}}^{-1}}left( x right)$ and state the domain of ${{text{f}}^{-1}}$. [3]