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Last year, I shared a handful of random interesting questions from the 2016 Prelims. Students feedback that they were quite helpful and gave them good exposure. I thought I share some that [...]

So many students have been asking for more practice. I’ll put up all the Prelim Papers for 2016 here. Do note that the syllabus is 9740 so students should practice discretion and skip [...]

As the prelims examinations draw really close, many students were asking me to give questions to test their concepts for several topics. In class, I had the opportunity to explore several [...]

The team at The Culture SG has been really busy and we have a lot of things prepared to help you guys work for that A. First up! Crash course for June… And we know it is a bit late to be [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by KS. More of [...]

Given that , find the approximate percentage change in when increases from 2 by 2%.  

B6 let Sub to Thus, it is a min point. C7 let (NA). There are no stationary points for this curve. C8 Let Evaluate with a calculator…

Another interesting vectors question. The fixed point has position vector a relative to a fixed point . A variable point has position vector r relative to . Find the locus of if r (r – a) = 0.

This is a question a student sent me a few days back, and I shared with my class. Find the Cartesian equation of the locus of all points (plane) that is equidistant of the plane and plane. The [...]

When , it implies we have a stationary point. To determine the nature of the stationary point, we can do either the first derivative test or the second derivative. The first derivative test: [...]