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A-Maths

A-Maths: 4 Steps to Solve Quadratic Inequality


At the end of this video, you will learn the systematic approach to solve any quadratic inequality correctly.

I have observed that many students simply don't know what they are doing when solving quadratic inequality.

They think that solving quadratic inequality is similar to solving linear inequality!

This is the biggest mistake!

Solving quadratic inequality is a fundamental skill.

Watch the video, learn the 4 steps and apply them on solving any quadratic inequality to see results!

Filed Under: A-Maths Tagged With: quadratic graphs, quadratic inequality

What Are Roots of a Quadratic Equation?


Do you know that roots of a quadratic equation can also mean the solutions, the x intercepts or simply put it the answers to the equation?

It is something we have learnt since lower secondary.

In 2019, GCE O Level Additional Maths Paper 2 Q10 tested candidates on their basic understanding of roots.

11 marks! Wow!

If you have been simply surface learning, you won't get past part (i) of the question.

See the video to see how I approach this question: https://www.youtube.com/watch?v=CPtbpO4At9w

Filed Under: A-Maths, Video Learning Tagged With: quadratic equations, sum and product of roots

2017 GCE O-Level A-Maths Paper 1 Question 3 Linear Law Discussion


I am selecting unique questions from 2017 GCE O-Level Additional Mathematics to discuss in my upcoming videos.

This first one is on linear law.

Basic concepts that you must know are:

  • Equation of a line
  • Understanding of coordinate system

In this video, I share with you a strategy I teach my student to make linear law easier to understand and reduce careless mistakes to a minimum. I called it "Capital Letter". I use capital letters to represent the complicated horizontal and vertical axes. Even my equation of line is in capital letters too.

Look at my video to understand my thinking process and apply it to yours when it's your turn to solve a linear law question.

This question is interesting as we do not have to draw the graph which is commonly asked in the past.

This question will cause your downfall if you are not absolutely clear on the concepts of linear law.

httpv://www.youtube.com/watch?v=wmYj8pu6-dc

Get my copy of Ten Year Series in all Popular bookstores!

Filed Under: A-Maths, Video Learning

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

Filed Under: A-Maths, E-Maths, Exam Matters, Learning Tools Tagged With: e-math formula sheet, Formula Sheet, mensuration

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

 

Filed Under: A-Maths Tagged With: factor remainder theorem, polynomial

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

 

Filed Under: A-Maths Tagged With: exponential

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