Mathematics

All A-level students should know that when you have a non-normal distribution and a sufficiently large sample size n, we can approximate it to a normal distribution. So what happens here? Why is [...]

This is a modified summation question taken from HCI. I think it forces the students to think out of the box, and we all know how scary trigonometry and summation is together. Given , show that [...]

If you missed part 1, you should read that first. Lets look at why r-value is independent of translation and scaling from the mathematical approach. Consider so is a scaling parameter while is a [...]

As we all know, the Ratio Theorem is given in MF15. But some students struggle to fit in the and every time. They will then attempt to draw a bit and see it helps. Here’s a solution for [...]

Some inquisitive students have asked me before, how the MF15 integration formulas come about. I thought I should share it too then. So we want to and yes, we know the formula can be plugged [...]

Some students complain that they often read a question and cannot figure if there is a conditional probability present. So lets hope the following explanation will aid them to better understand [...]

Many students are stuck when they see something like for example. They are unsure what tto do and some of them attempt to rationalise it. Here’s a little tip to resolving all such [...]

This is question in relation to the birthday paradox we discussed earlier. A room contains randomly chosen people. Assume that a randomly chosen people is equally likely to have been born on any [...]

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 [...]