Complex Numbers with Graphings Problem

N95/II/12 Given that where , express the real and imaginary parts of in terms of . (i) Hence show that the point representing in an Argand diagram lies on the curve with Cartesian equation . (ii) [...]

What’s on my mind for H2 Mathematics Paper 2 2018?

This is just me talking to myself… With paper 1 over, seems like this time round, the paper is slightly imbalanced. Questions that were too easy at the front, and last three became rather [...]

2018 A-level H1 Mathematics (8865) Paper 1 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Numerical Answers (click the questions for workings/explanation) [...]

What’s on my mind for H2 Mathematics Paper 1 2018?

Firstly, everything here will just be me talking to myself and I am not spotting any trends. Functions, good to know how to do piecewise composite functions. Checking for inverse algebraically. [...]

How to improve our H2 Mathematics?

Many students of mine have asked me this question numerous times. Some lamented that they work really hard, finishing off the revision package timely. However, they still cannot improve from a [...]

Modal value & Expected value

Let us look at the difference between modal value and expected value. We shall start by saying they are different, albeit close. Modal value refers to the mode, that is, the value that has the [...]

DRV questions with a twist

I want to share a question that is really old (older than me, actually). It is from the June 1972 paper. As most students know, Maclaurin’s series was tested in last year A’levels [...]

Solutions to Review 1

Question 1 (i) (ii) Using long division, we find that So the asymptotes are and Question 2 (i) This is a hyperbola with centre , asymptotes are , and vertices and . is a graph with asymptotes and [...]