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As I mentioned, a few of my students are planning to enter Math courses in the university post A-levels. They approached me regarding university courses and advices. We shall look at a few local [...]

This is a question taken from the 2008 H1 paper. I think it is a simple question that test students on their understanding of what standard deviation mean. An examination is marked out of 100. It [...]

A man looks at his watch at a random time between mid-day and 1300H. What is the probability that the angle between the hands of the watch is less than ? Ans:

As many students will note, more and more questions these days have the ominous “Hence” word. They can heave a sigh of relief if they still see “or otherwise”. But if it [...]

This is a rather easy questions which stumped a good number of students initially. Hint: You must use integration by parts.

This questions is on vectors, in particular, finding the shortest distance of a point (0, 0, 3) to the plane. My student was able to do it but had a terrible careless mistake. But nevertheless, I [...]

Some of your school notes will mention and explain the definition of unbiased and consistency. But let us just discuss what unbiased means as we do see it quite often in A-level. What does its [...]

Two days ago, I was teaching correlation & regression to my students and a few of the are rather puzzled why the r-value is independent of any translation and scaling. Let us first look at [...]

A few days ago, I met up with some ex-students from class of 2014 who are awaiting their universities to start, for coffee. It was really heartwarming to see them, a couple of them are teaching [...]

This is an interesting question from ACJC’2014 Prelim Exam. I feel that it test a lot on students’ understanding of the normal distribution curve. The height , in centimetres, of a [...]