H2 Mathematics Crash Course Sept

Our team at “theculture.sg” have been really busy the past few weeks, which explains the lack of posts. We have really exciting news to share with our reads. While we are busy preparing our students for the preliminary exams on all levels such as time management and exam preparedness, we received many queries regarding the possibility for a H2 Math crash course program. We had the H1 General Paper Crash Course in June Holidays and it benefited all the students that attended it. For this September Holidays, we are kicking something different and special. We are holding a 8-hr crash course for H2 Mathematics, alongside with General Paper Crash Course.

All along, we believe that fundamentals are important, conceptual understanding is paramount for optimal learning of Sciences. Our past experiences in teaching and guiding students taught us that students know all these concepts, and they are hidden somewhere in their brain. From answering all the various questions sent to us through texts, and left online, we developed our methodology to analyze trends and behaviors. Students of Mr. Teng should know he always say, “Statistics do not lie!”. So he did his homework for A’level trends.

So are you one of those students have no trouble understanding the solutions provided, but struggle to start doing a question even? Or one of those that have difficulties finishing the paper optimally? Or one of those that want to test your knowledge?

Each crash course will be 8 hrs long from 8th-9th Sept.  The timings for J2 would be 8-12pm on both days; for J1 it would be 1-5pm. This crash course is created and planned to be very intensive and prepares the students well. Students of all abilities will be well suited to come attend the class. And since you guys are the graduating batch of 9740 H2 Mathematics, Newton Apple & theculture.sg will gift students that sign up for BOTH General Paper and Mathematics a comprehensive summary for H2 Mathematics.

You may contact me at +65 9815 6827 or Newton Apple directly at 92223423.

Do not miss this opportunity of learning with us, as we might not have the time to do this course again ahead of A’levels.

General Paper Crash Course Sept- Skills focused

Dear readers,

In view of your upcoming examinations and to help you better prepare for them in this final stretch, we are pleased to announce that we are having a crash course for General paper this September holidays. We will be focusing on imparting our skills to you to help you ace your examinations. Our content lectures have been covered during the June holidays already (but pls request for them if you have missed them or feel that you really need them, we may consider re-running depending on demand).

Our crash course will focus on:

  1. Analyzing the different essay question types and the strategies on how to tackle them.
  2. Techniques to tackle and handle Application Questions effectively for both single and double passages
  3. Techniques for short answer questions especially literary-types of questions (like metaphors, paradox etc).
  4. Scaffolding of content to handle the requirements of each type of essay questions.

Each crash course will be 8 hrs long from 8th-9th Sept.  The timings for J1 would be 8-12pm on both days; for J2 it would be 1-5pm.  Please note that this is your last chance to get intensive revision before your A levels. Miss at your own cost.

For registration and further enquiries, please contact us at 90050181 or 92223423.

A-level H2 Mathematics (9740) Suggested Solutions

After teaching H2 Mathematics for so many years and sharing my suggested solutions post A-levels, I thought I collate them nicely and type them all neatly here in Latex. 🙂 Please be kind to be should I make any careless mistakes as I typed them all out and spell check does not work with math equations. Feel free to comment.

Challenging A’levels Questions


All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

GP Crash Course Content

Dear Readers,

I have received some calls regarding a rerun of GP crash course on content. We have done this twice during June, and we have given our students 8 sets of content notes. If u are interested and would like us to do a re-run, pls comment below or contact us at 90050181. We may consider it depending on demand.

P.S No promise that we are re-running this since we have to cater to J1 and J2 crash course this time during the short Sept holidays.

Special Post for A levels Students GP

Dear students,

This is a special post going out to all of you. Considering that your A levels are drawing near and you are already in the midst of your prelims, what are some topics that you are still struggling with? What are some essays that you would like to see a post on?

The team will do their best to meet your requests! Just comment on the section below the post 🙂


Getting what one wants in life is what matters. Discuss.

Getting what one wants in life is what matters. Discuss.

This is a very deep philosophical question that requires students to answer in a mature way on what do they think life is about. What are the things that matter to us? Do they hold any meaning at all at the end? Is it even possible for us to get what we want, if at all?

First, let’s define what are the things that matter to us in life. To most of us, some of the tangible and intangible things that we have been pursuing sure hold some weight: Money, status, power, love, relationships with friends and family, good health, career goal, collecting of a myriad of life experiences etc. Though these things do matter in some way or another, do the attainment of these make us less contented and fulfilled over time? Will the initial satisfaction of attaining these goals be waned off?

What exactly is important in life? Is it the attainment of what matters or the pursuit of these goals that give us a sense of fulfillment, life purpose and satisfaction? For me, I think what I’m after is more of the pursuit and the challenge of attaining the goals, than the goals themselves. The thrill of the chase is definitely what keeps many ambitious and driven individuals going, with a focus and a sight of the goal in mind. The prospect of getting the goal one fine day is what keeps individuals going and giving them a sense of hope. We do not necessarily need to get our goals, it is alright to fall short of them. After all, with a bit of failure that we get to appreciate some of our success. That is the paradox of life itself.

Of course, others will argue and think that there is no point in the continuous chase if the goal is always unattainable. What we want ultimately is the goal in itself. But then, what’s the point of possessing the goal/item since we have to lose them anyways? Nothing in life is permanent and we cannot continuously hold on to them anyway right? 🙂

P.s This post is not meant to be written in the full essay structure outline. Is just meant to get you thinking more about life, and what exactly is meaning to each and every single one of us. Is the attainment and our obsession with goals so important at the end of the day?



Is it necessary for a country to invest in its artists?

In today’s society where globalization has led to a world that has become heterogeneous, countries can use their artists to not only articulate their own culture but to establish an identity through art. Local artists often would base their artistic efforts on the experience of being a citizen and living in the country, thereby providing original content that is uniquely their own. By investing in the local artists, a country uses the artists and their acute ability to express and manifest a cultural identity through art and share the expression with the community at large. This is vital as the people then have a visual representation of who they are as a people and can use the artwork as an icon or symbol which they can relate to. The citizens of the country will then have a stronger sense of national and cultural identity and this, in turn, creates a deeper sense of belonging to a country. A good example would be Filipino artist, Fedrico Aguilar Alcuaz who was conferred the title of National Artist in Philippines as his work was identified by many Filipinos as iconic to their beloved country. He went on to participate on international grounds and brought glory to his country through his engaging art pieces. Alcuaz has helped Philippines become internationally recognized because of his powerful art.

Art also serves as a platform for many to enjoy and engage in social commentary. By investing in its artists, the country is able to use the works to cultivate a civic-minded community. The arts provide a commonplace where families, friends or colleagues come together and experience an art piece that will stimulate the mind and this allows people to think critically and discuss today’s issues in an accessible and creative manner. This is because the work of the artists act as ‘social mirrors’ that reflect the cultural, historical and socio-political life of the country. This, then, amplifies potential points of discussion that the state and the people can engage intelligently in. Not only does it encourage the development of views, it also creates harmony among people by allowing various groups of people to come together to enjoy the art work. For instance, in most theatre performances today, playwrights incorporate question and answer sections into their plays in order to “break the fourth wall” between stage and audience, allowing the audience to take an active role in the discussion of the issues presented or simply allow the artists to share their experiences in the process of creating the performance and how that is reflective of reality.

Investing in the arts is also important in bringing in tourist receipts for the country and building up the image of the country. Arts and culture is a form of “soft power” where it can project its influence to the other countries. For instance, Paris has a reputation of being an arts hub, a place with rich historic significance which is able to attract tourists to their plays, museums and musicals. Also, by projecting that the country has a reputation in this area it will help to attract creative talents from all the corners of the world to help raise a country’s artistic and creative standards. In doing so, the country will be creating an exciting and vibrant city-state where citizens and foreigners will be able to share and produce entertaining, meaningful and world-class artistic creations that are different from the mainstream media, which is usually dominated by western media. For instance, Japan is known for its Manga, Anime and cos-play. Such is the potential of investing in the arts till a country is recognized based on its achievements.

However, critics would argue that the resources invested in the artists might be better allocated to more important areas such as the Maths and Science sector as these areas help to bring in financial stability and security which eventually lead to the smooth development of a country. With investments in these areas, the country would be more productive and efficient as it caters to real needs in future. For example, improvements in healthcare require a background knowledge of sciences and with greater investment in strengthening a country’s education in Maths and Science, a country can develop more quickly in various areas such as healthcare, medicine, infrastructure and military technology. With such concrete development ensured, countries actually are able to prepare for any disasters and would have the necessary facilities and equipment to face any turbulent times. Singapore clearly believes that she should ensure her people’s welfare through investments in healthcare and national defence as well as in subjects such as Maths and Science. It is a more practical route that yields tangible results in the long run compared to the arts.

P.s this is a short contribution from some of my top students for the arguments. If you are curious how we teach content and essay writing skills in our classes, why not try our trial lesson @ 50% off (limited to the first 10 students who call in).


History matters in shaping the future of a country. To what extent is this true?

History matters in shaping the future of a country because it allows counties to understand changes and developments that had taken place to create the present society. In this highly globalized world we live in today, there is a need for developed countries to maintain the fast pace lifestyle while developing counties play catch up. Every country can be said to be struggling to progress and develop in one way or another. One way that countries often develop and better themselves is by learning more about their history and the successes and failures, even the ones other countries experience, that have served them. Lessons from the past can serve as a useful reminder of what not to do in the present, assuming that the contexts are similar for the lessons to be applicable. For instance, in the past, Myanmar was the biggest rice exporter and earns astronomical amounts of revenue from trade. Unfortunately, today it has become one of the poorest countries in SEA. After witnessing how her neighbouring countries such as Singapore and Malaysia grew from third-world to first-world countries, Myanmar has now decided to open up politically and economically after realizing how far behind they have sunk in under traditional military rule. Therefore, history plays an important part in shaping the future of a country as it acts as a platform for comparison, learning and understanding between countries and differing economies, highlighting areas of improvements.

History matters in shaping the future of a country as it provides the advantage of learning from other people’s experiences and stories without having to go through the experiences personally. We can learn from and about the great men and women of history and how they emerged successful despite moral dilemmas and how these people displayed courage, diligence, determination and perseverance. History lessons are invaluable because they are a way for people to share what they have gained and learned of life and the many social rules and regulations and how these have affected people. These historical narratives serve as inspiration for countries and learn to look to the future and motivate people to make sure that their dreams become a reality. For example, one iconic historical figure that many countries learn from is Mahatma Gandhi from whom they have learnt that it is possible to eradicate injustices in the world through non-violent means. Countries learnt from Gandhi that justice can be sought by not simply sitting idle and accepting injustices but by exposing and making known to others of the problems that are happening so that action can be taken. History, hence, provides us the opportunities to learn from mistakes whenever a past event is revisited.

National identity is unavoidably linked to history because it provides the social narrative- a story reflecting how a country has grown into what it is today- for citizens to relate to. We live in a global community where there is a diversity of cultures and unique identities coming from all over the world. It is important for countries to preserve and glorify their distinctiveness because in this highly globalized and interconnected world that is bombarded with so much influence, the different historical narratives help people to stay rooted and united as a nation. Singapore is a very good example because this country’s porous borders