Author Archives: Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

2014 GCE O-Level Additional Maths 4047 Paper 1 Post Mortem

After doing the revised syllabus 4047 GCE O-Level Additional Maths Paper 1, it reconfirms that Cambridge is testing basic concepts but presented in a different manner.

There are many small details that candidate should look out for. I was underlining these small details eg acute angles, exact value, in radians, the acute angle, x coordinate.

I highly recommend all candidates to read your question carefully, keep asking yourself if you have answered the question.

An additional point to highlight is look at the allocation of marks to gauge the amount of working to present, the choice of approaches to use.

Based on what have been tested in Paper 1, we are looking forward to the following concepts in Paper 2:

  • Indices
  • Logarithms
  • Sum & Product of roots
  • Factor Remainder Theorem (solving cubic equations)
  • Equation of circle (*Draw if you don't understand the question)
  • Trigonometry Graphs
  • Trigonometry Double Angle
  • Geometry Proof (Please know your congruent and similar triangles tests) 
  • Parabola & General shapes of graphs in the form y = ax^n (where n is a fraction)
  • Area under curve
  • The Hence concept (Differentiation & Integration combined)
  • Kinematics 

I would be expecting cross-chapters questions tomorrow. Just like you, I'm a candidate so the above list is just my suggestion.

All the best for the final Maths paper. See you at the finishing line.

PS: Don't worry about bell curve! It's beyond our control!

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2014 GCE O-Level Elementary Maths 4016 Paper 1 (Post Mortem)

After completing this year O-Level E-Maths Paper 1, I personally find that the difficulty level has increased compared to the last 3 years.

I was slightly shocked to see question 1 as a arrangement question.Quite a handful of students commented that there are questions which aren't even Maths questions.

  • One of the questions is "Questionnaire on how much time does student spoil on Internet". It was probably what the question is asking for which brought some surprises to the candidates.
  • I found the cuboid, cube and the equal area of rectangles questions well crafted.
  • The train leaving tunnel was sneaky. It reminded me of PSLE Math.
  • I like the number pattern question as it has a twist to it. Instead of listing down the first few terms, they skipped some terms. It was very refreshing.
  • One of the observations I have: 2014 Paper 1 has a few questions which are 3-5 marks for a single part. It seems to deviate from the usual short questions of 1 to 3 marks in the past few years.

Based on what were tested, we are logically make some guesses of what we are expecting in Paper 2. The following topics are what I'm suggesting and they are for reference only:

  • Standard form
  • Scales & Maps
  • Factorisation
  • Solving simultaneous equations
  • Solving fractional equations
  • Inequality
  • Subject formula
  • General shapes of graphs
  • Functions & Graphs
  • Quadratic equations & Graphs
  • Distance, speed and acceleration graphs
  • Construction of bisectors
  • Congruent & Similar Figures
  • Angle & Symmetry Properties of circles
  • Arc length, area of sector and radian measure
  • Pythagoras’ theorem and Trigonometry
  • Mensuration
  • Coordinate Geometry
  • Mean & SD
  • Cumulative frequency
  • Vectors (ratio of areas, magnitude, linked to coordinate geometry)

Regardless of how you think you have fared for Paper 1, continue to work hard for Paper 2 which is 9 days away. Practice daily!

All the best!

Edit: My view on O-Level exam answers as reported in 4 November 2013 TODAY papers.

Ai Ling views on exam answer heats up on web


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Integration: The Reverse of Differentiation

After I've completed my O-Level Maths Revision Differentiation workshop for a small group of Secondary 4 O-Level A-Maths students, I understood from them why a handful of them finds Integration challenging.

They get confused when differentiation is mixed within a question with integration! Are you just like them? Is your child facing the same problem too?

The three major topics for O-Level Additional Maths are:

  1. Trigonometry
  2. Differentiation
  3. Integration 

Having a great understanding in these topics is crucial to pass O-Level A-Maths with distinction! When you have a clear understanding of the differences between differentiation and integration, you then can solve fundamental differentiation or integration techniques questions. And this is important as there are so many applications questions on:

  • Property of integral
  • Equation of curve
  • Integration is the reverse of difference (I term it 'The HENCE concept' question)
  • Partial fraction in integration
  • Area under the curve
  • Kinematics

Let's take a look at comparisons between differentiation and integration questions:

(click on the image to view a larger size)

Comparison between differentiation and integration page 1

When you have a good understanding on how basic differentiation and integration rules are used in each question, you will be absolutely clear on the correct approach to take. All confusion will be transformed to confidence!

Many students need to be shown the comparison, taught the strategies, understand the reasons then they will be enjoying the topic happily.

If you have found this post useful, click on share on Facebook so that more students can benefit from this.

Pass With Distinction! Workshops

For students who are committed to be extraordinary, I would like to invite you to join me on my 4 days of O-Level Maths Revision: Integration Workshop on 3, 10, 17, 24 July 2014 (Thursday) from 6pm to 9pm. I will be sharing with you the strategies on Integration my students have used to pass their O-Level A-Maths with distinction.

This is exclusively for committed students who will do whatever it takes to turn their results around as they know deep inside them, they deserve better results as long as they are willing to work hard.

For registration, please go to

PS: I've only 7 seats left.

I would like to share with you what Paxton has sent us after he received his O-Level results last year. He stays in Jurong and he was one of the committed students who showed up for several of our A-Maths Workshops last year, despite the distance from ACS(Br) to Winners Education back to Jurong, despite the long hours in schools, despite the fatigue, despite everything... He does not allow any factors to hold him back, his parents supported his decision... His commitment pays off handsomely for him. We are proud of his achievement and his determination in truly unleashing his potential. only for the committed.

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