# Timothy Gan

### Math Learning Reflection: How to Assess Your Progress and Plan Ahead

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

### The Pros and Cons of Checking Answers Online Post-Exam

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

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

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.

### From Setback to Triumph: How to Overcome a Disappointing Exam

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

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

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

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 $frac{text{d}y}{text{d}x}$.