JC Mathematics

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 [...]

It’s pretty interesting that shortly after our post on meritocracy, we have news about the junior college (JC) mergers. For more information about the news, you could take a look at [...]

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

A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins latex k1. Calculate the gambler’s expected winnings

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: [...]

This is a question from a recent ACJC JC2 test. A philanthropist started a donation matching programme to encourage more people to donate regularly to a particular charity. (a) For a person who [...]

If , where , and are all non-zero vectors, show that bisects the angle between and .