As we approach the end of another year, it’s the perfect time to pause and reflect on the educational journey, particularly in subjects like mathematics that play a critical role
In our modern digital era, the internet has become a pivotal aspect of our daily lives, influencing how we communicate, work, and learn. This digital revolution has particularly transformed the
2022 ASRJC P1 Q11 The cylindrical tank in a research laboratory has a cross-sectional area of $4$ m$^{2}$. To cool the tank, water is pumped in and out of the
2022 ACJC P1 Q11 With the proliferation of online social network, sociologists recognised a phenomenon called social diffusion which is the spreading of a piece of information through the population.
Experiencing a disappointing exam is an almost universal part of the educational journey. For students, exams often carry a significant weight – they are not just assessments of learning but
2022 VJC P1 Q11 A tank contains $500$ litres of water in which $100$ g of a poisonous chemical called Prokrastenate is dissolved. A solution containing $0.1$ g of Prokrastenate
2022 DHS P1 Q10 An object is moving from rest in a gas chamber and $t$ seconds later, its velocity $v$ metres per second satisfies the differential equation $frac{text{d}v}{text{d}t}=5-0.2{{v}^{2}}$ It
2023 CJC P2 Q3 Following the popularity of the action role-playing game, Ginseng Impact, three years ago, developers have developed a strategy game, Ginseng Impactful. The number of people who
2023 NJC P1 Q3 It is given that $y={{left( 1+{{tan }^{-1}}x right)}^{2}}$. (a) Prove that ${{left( 1+{{x}^{2}} right)}^{2}}frac{{{text{d}}^{2}}y}{text{d}{{x}^{2}}}+2xleft( 1+{{x}^{2}} right)frac{text{d}y}{text{d}x}=2$. [3] (b) Obtain an equation relating $frac{{{text{d}}^{3}}y}{text{d}{{x}^{3}}}$, $frac{{{text{d}}^{2}}y}{text{d}{{x}^{2}}}$ and $frac{text{d}y}{text{d}x}$.
In the realm of education, the debate between the benefits of private tuition versus group tuition has been a persistent one. Each mode of learning comes with its unique set