Category Archives: A-Maths

E-Maths: Mensuration Formula Sheet


I have compiled a 'cheat sheet' to find volume and surface area of

  • cube
  • cuboid
  • prism
  • cylinder
  • pyramid
  • cone
  • sphere

This will be a quick summary for all students taking their O-Level examinations and school examinations. This will be useful for E-Maths students as the new syllabus includes a real life application question which can be testing on concepts involving these figures. It will be helpful for A-Maths students as well especially in their Differentiation proving questions. On top of that, A-Level H1/H2 students will benefit from it as well since it could required in their calculus proving questions too.

mensuration-formula-sheet

A-Maths: Forming a Polynomial Equation, Given its Roots


It is simple to follow the steps of solving a cubic equation which includes finding the linear factor by using calculator and the quadratic factor by long division or comparing coefficient.

However, when the question is asked in another manner in which the solutions are given and the polynomial equation is to be formed. Some students might be at a lost of how to start the question.

I share with you on how we approach this style of question below:

Forming Polynomial Equation

 

The 2 Methods to Solve Exponential Equations


There are two methods to solve exponential equations:

  1. Take ln on both sides 
  2. Substitution 

Students must know which method to use when solving an equation. Generally, we take ln on both sides when there is just a single exponential function and we use substitution when there is a common term.

Let's take a look at the examples:

Methods to Solve Exponential Equations

 

A-Maths: Differentiation Application - Stationary Value [Video]


Differentiation - Find Minimum Gradient of Curve Question

I received this question on finding minimum gradient of a curve and it is confusing for many students as they probably lack the flexibility in seeing gradient beyond dy/dx.

I have presented this question in a slightly different manner by reducing the usage of  first derivative (dy/dx) and second derivative (d^2y/dx^2).

Check the 3 minutes video by clicking on the video to find out the step-by-step solutions and the explanations.

Video URL: https://youtu.be/K5-LaQUXo94

2015 GCE O-Level Additional Maths 4047 Paper 1 Post Mortem Not Solutions


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 a few questions which are truly testing your application like the one on quadratic curve is always negative, range of m for which the graphs have two intersection points ...

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
  • Sum & Product of roots
  • Factor Remainder Theorem (solving cubic equations)
  • Equation of circle (*Draw if you don't understand the question)
  • Trigonometry R formula
  • The Hence concept (Differentiation & Integration combined)
  • Partial Fraction & Integration
  • Properties of Integral
  • Differentiation & Integration of exponential function and ln function
  • Differentiation: Eqn of Tangent & Normal
  • Coordinate Geometry
  • Equation of circle
  • Binomial Expansion
  • Linear Law

I would be expecting cross-chapters questions on Monday. 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!