A-Maths Tuition

Preparation for Secondary 3 Additional Mathematics

During this period, I received numerous calls on Secondary 3 Additional Maths Tuition class. Many parents are worried if their child can cope with the subject next year. The focus on Secondary 1 and 2 Maths is directed on Algebra which is definitely essential for Secondary 3 Additional Maths and Elementary Maths.

In Secondary 3 Additional Maths, most students will be learning the following topics for the first half of the year and many topics involved Algebra manipulation.

Simultaneous Equations
Surds & Indices
Exponential Function
Logarithms
Quadratic Equations
Partial Fractions
Factor – Remainder Theorem
Modulus Function
Coordinate Geometry

To help students to revise on some of the essential concepts, I have prepared a short list of questions on Expansion, Solving Quadratic Equations & Understanding Quadratic Graph. It will only take students 10 - 15 minutes to complete and the step-by-step solutions (+common mistakes) will be emailed the following day.

To download your free copy, enter your name and email in the form below for the questions to be sent to you instantly.

If you can't view the form, please click here.

2013 GCE O-Level Additional Maths 4038 Paper 1 (Post Mortem)

Observations for 2013 GCE O-Level Additional Maths Paper 1: Graph on linear law, partial fractions, binomial, nature of stationary points, decreasing function, coordinate geometry, exponential word problems, sum & product of roots, proving identity, factor formula, modulus, rate of change, hence qn on dy/dx & integration.

Based on what was tested in GCE O-Level A-Maths 4038 Paper 1, the following concepts are yet to be tested:

Trigonometry equations
Trigonometry graph
Indices
Matrices
Kinematics
Plane Geometry (very likely)
Gradient of tangent or normal
Logarithms
Factor remainder theorem
Relationship between curve and line
R-formula
Equation of circle
Area under curve

We look forward to 2013 GCE O-Level A-Maths 4038 Paper 2!
Do your best and check your work to achieve perfection!

A-Maths: Plane Geometry Question (Step-by-Step) [Video]

In this video, I will show you:

How to prove that 2 lines are // to each other
How to prove a pair of similar triangles
How to prove an equation involving length

Properties & Theorems used:

Angles in the same segment
Intercept Theorem
Corresponding angles
Tangent - Secant Theorem

Strategies (Used in manipulation in part iii) :

Breaking a longer length into smaller parts
'Expansion' of length
Using result from earlier parts
Factorising common length

If you find this video, please subscribe to my YouTube Channel and share it with your friends!

Link to video: http://www.youtube.com/watch?v=UNZolJverww

Thank you!

Length of video = 11 minutes.

A-Maths: Plane Geometry (Geometrical Proof) Mastery Workshop + SPECIAL CODE

Student 1: "I can't see!"

Student 2: "I don't know how to start. I don't know which theorem or formula to use."

Student 3: "I always can't do plane geometry question in exams!"

Student 4: "I don't understand the topic at all!"

These are the common problems faced by many A-Maths students in the topic of Plane Geometry, even A-grade students!

Every year since 2008 in GCE O-Level Additional Maths Paper 2, there's always a Plane Geometry question worth 8 to 10 marks!

This topic can be made easier by

Looking out for hints given in the question and diagram
Understanding the newly introduced theorems (5 of them)
Combining E-Maths angle and symmetry properties of circle
Learning the 'dummy-proof' way to prove congruent and similar triangles
Exposure to a variety of strategies and questions
Learning how to apply the skills learnt on solving questions

I'm conducting my final A-Maths Mastery Workshop on Plane Geometry this September!

Join me for this final revision and solve that Plane Geometry question in O-Level 2013, add 10 marks to your final score!

For more details: go to www.singaporeolevelmaths.com/pg

Enter special code to enjoy $28 discount off the workshop fee!

A-Maths: Solve a Cubic Equation by Synthetic Division or Comparing Coefficients - video

Solving a cubic equation is similar in some aspects to solving a quadratic equation, factorisation is in action.

In the two videos, I show you the step by step approach I took to solve a cubic equation either by synthetic division or comparing coefficients.

This concept is usually covered in Secondary 3 Additional Maths syllabus under Factor and Remainder Theorem.

Step 1 (same for both methods) : Guess and Check the first factor (with the help of the calculator).

Step 2: Find the Quadratic Factor.

Leave a comment to share with me which method do you prefer or usually use? I look forward to your comment!

Video 1: GCE O-Level A-Maths: Solve a Cubic Equation by Synthetic Division

Direct link: https://www.youtube.com/watch?v=CqCdD9a8q4c

Video 2: GCE O-Level A-Maths: Solve a Cubic Equation by Comparing Coefficients

Direct link: https://www.youtube.com/watch?v=6iqG74I07v4

A-Maths Differentiation: Finding Gradient of Curve

I'm very excited to be working on the revised copy for the GCE O-Level Additional & Elementary Mathematics Ten Years Series (2003-2012) by FBP Publisher.

The book should be available in all Popular bookstores (Singapore) in early April. There's something new on this book. To provide more value to students, this year we have included an additional book of drill questions.

I would like to share one of the questions from Differentiation: Tangent & Normal with all of you.

Skill required:

Quotient rule
Gradient of curve is dy/dx

Bonus: Strictly decreasing function means dy/dx < 0 for all values of x.

Click on the image for a bigger view.

I would like to hear any comments from you. Did you do this question using another approach? Leave me a comment.