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We know how A’levels like to combine a few topics across. We also know how bad trigonometry can be. I was coaching my International Bachelorette (IB) class last week and came across a [...]

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 [...]

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 [...]

Some students remarked on why I actually recognise e, that is, . Well, e is a rather unique constants. Firstly, for all JC students, we see it our daily algebra & complex numbers. Students [...]

I’ve covered some things in classes, with sufficient revisions and final lap papers set. So I thought we have a little breakdown. And of course, we should review what was weeded away in the [...]

Given and

TPJC/P2/4 (a) The complex number w is given by (i) Find the modulus and argument of w, giving your answer in exact form. (ii) Without using a calculator, find the smallest positive integer value [...]

PJC P2 Q1 The complex numbers a and b are given by and respectively. (i) On a single Argand diagram, sketch the loci (a) (b) (ii) Find the range of where is the complex number that satisfies the [...]

HCI P1 Q5 Sketch on a single Argand diagram, the loci defined by and (i) Find the minimum value of (ii) Find the minimum value of (iii) Given that , state the minimum value of

My brother shared this interesting video with me a few days back when he was at the screening for The Man Who Knew Infinity. I’m looking forward to watching this movie too! Back to the [...]