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E-Maths

2013 GCE O-Level Elementary Maths 4016 Paper 1 (Post Mortem)


It's interesting to see hemisphere and hemisphere. There are a few PSLE level Maths questions as well.

Based on what was tested in GCE O-Level E-Maths 4016 Paper 1, the following concepts are yet to be tested:

  • Scales & maps
  • Men & houses
  • Subject formula
  • Number patterns
  • Graphs (Definitely a question)
  • Quadratic (Definitely a question)
  • Compound Interest & other everyday Maths applications
  • Polygons
  • Construction of bisectors
  • Congruent & Similarity
  • Angle properties of circle (again?)
  • Arc length & area of sector
  • Trigonometry
  • Vectors
  • Probability
  • Mean & Standard deviation

We look forward to 2013 GCE O-Level E-Maths 4016 Paper 2!
Do your best and check your work to achieve perfection!

Filed Under: E-Maths, Exam Matters

E-Maths: Reading of Cumulative Frequency Curve (+ Pie Chart)


A parent recently sent me some questions and I would like to share with you this one on Cumulative Frequency.

The tricky part of question (c) is reading the scale correctly.

  • Every small square is 2 units on the x-axis
  • Every small square is 4 units on the y-axis

For (ii), total number of students (160) represent the entire pie chart which is 360 degrees.

Therefore, by proportion, we can find out the degrees of the pie chart for students who are awarded C grade.

e-math-cumulative-frequency-question

Filed Under: E-Maths Tagged With: cumulative frequency, pie chart

E-Maths: Introduction of Angle Properties of Circle (Basic) - Video


This topic, Angle Properties of Circle is usually introduced in Secondary 3 Elementary Maths syllabus in Singapore.  It is a very visual topic in which some students might have challenges "seeing" and "identifying" them.

I would like to first introduce the 5 Angle Properties of Circle:

  1. Angles in the same segment (are equal)
  2. Angle at centre is twice angle at the circumference
  3. Right angle in semi-circle
  4. Angles in opposite segment (add up to 180 degrees)
  5. Radius is perpendicular to tangent

I have shared these 5 Angle Properties of Circle in the following video.

Direct link: https://www.youtube.com/watch?v=xrI8jpOny2Y

For those of you who have challenges with this topic, tell me what are the challenges you face in the comment section below.

Filed Under: E-Maths, Video Learning Tagged With: angle properties of circle

Pi.z.z.a Maths (cool stuff)


I came across this interesting image and would like to share with all of you.

This is to do with finding volume of a figure (example cylinder).

Volume of cylinder = PI * r^2 * h

r: radius, h: height

In general, to find the volume of a cylinder (or prism) = cross-sectional area * height.

A Maths Tuition

Filed Under: Cool stuff, Desserts, E-Maths Tagged With: mensuration

Quadratic Equations Song by St Margaret's Girls


Recently in my Secondary 3 Additional Maths Weekly Tuition Class, I was checking with my students if they have learnt the Quadratic Formula. One boy 'excitedly' pointed out the YouTube video done by three St Margaret Girls! It was shown to his class by his Maths teacher. I came across this video many years ago but could connect with what he was referring to.

Though it's a very simple song, it's useful especially if you're an auditory and kinesthetic learner.

I applaud the effort by the girls!

Direct link: http://www.youtube.com/watch?v=VS56N94Sllc

A Maths Tutor

 

Filed Under: E-Maths, Video Learning Tagged With: quadratic equations, quadratic formula

E-Maths: Angle Properties of Circle Question


In this video, I discuss on the methods to answer angle properties of circle.

  • 2 items to mark out before answering the question.
  • How to identify angle at centre and its angle at circumference.
  • Common perception mistake on cyclic quadrilateral.

Length of video = 6.35 minutes.

Download the question in pdf here.

Direct link to video, click here.

Filed Under: E-Maths, Video Learning Tagged With: angle properties of circle

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