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Many students are good at doing hypothesis testing, that is, they know what to do to carry out the test correctly. However, they don’t really understand how the test actually work. [...]

So a week ago, I was marking a few scripts of my students (Yes about half of them were honing their skills to handle prelim papers now; I hope you are too.) and I noticed a handful can’t [...]

Here is some sharing over a very fascinating constant . We know this is (up to 3 sig. fig. accuracy) or even (up to 7 sig. fig. accuracy). One of my favourite way of deriving this never-ending [...]

Many parents call me and ask if their A-level kids need H2 Math tuition. Through the years, I’ve seen mainly three types of students: A: Students that are diligent but do not do well, and [...]

Students always wonder why do we reject the null hypothesis when the p-value is less than the level of significance. To understand how hypothesis testing works, students can read more here. So [...]

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 [...]

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 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 [...]

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 [...]

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 [...]