For Secondary 4 or 5 school candidates (in Singapore) taking the O-Level Additional Maths this year, many are likely to have registered for the **new syllabus 4047. **

In this post, I would like to highlight the **main differences between the new (4047) and old (4038) syllabus**:

- Matrices, Factor formula are excluded from the new syllabus
- Intercept, Intersecting chord and Tangent-secant theorem are excluded from the new syllabus
**Sum and differences of cubes in Polynomials** are included in the new syllabus

In conclusion, since there are more exclusions than inclusions. We should be expecting **more application questions** which can be linked to everyday life applications in the fields of Biology, Chemistry, Physics, Engineering etc.

The keys to achieve distinction in O-Level Additional Maths are still:

- a solid foundation in basic concepts,
- well-equipped with application strategies,
- wide exposure to carefully selected application questions,
- good management of time for
** doing and checking**
- exam-smart strategies

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For many Secondary 3 A-Maths students, this topic called **Factor – Remainder theorem or Polynomials** is usually introduced in the first 3 months of the year.

In this topic, they are introduced to the method to find the **factors of a cubic equation** so that it can be solved. They also learnt when and how to use **Remainder theorem to find the remainder** when a dividend is divided by a divisor.

They also know to rewrite an expression into **function f(x)**.

In the following two videos, I use less than 6 minutes to bring across the concepts of Factor theorem and Remainder theorem.

I hope through these videos, you will have a better understanding of these two concepts.

Also, I have included a page which contains all the O-Level Maths videos I have produced since 2007.

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Recently, during the Chinese New Year period, I saw many people queuing up at Singapore Pools. For readers from other countries, Singapore Pools is like a betting station for lottery and sports. It was around the same period in which I was preparing to start teaching Probability to my Secondary 4 Elementary Maths students.

I decided to share with them on the probability of winning a number as a teaser to the topic. I did a poster and shared it on my Facebook. I was humbled by the response – **the poster was shared 29 times! **

I believe the ‘truth of winning’ relates well to many people.

Details of a 4D game:

- There are a total of 23 winning numbers which consist of 1st, 2nd, 3rd prizes, 10 starter prizes and 10 consolation prizes.
- You may choose any 4 digit numbers from 0000 to 9999.
- The following poster shows that to win any prize, the chance is a
**mere 0.23%**

How often do we fall into the trap of greed, thinking that we can be lucky one day and win some money? In the end, who is the big winner? I’m sure you have the answer.

Whether you are a parent or student, I hope this blog post has shed some light on winning 4D game through the application of Maths in everyday life.

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