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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

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: [...]

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

Let’s face it. Some of us will not get the dream results we want. Don’t give up and let fear conquer you. For students unsure of the available courses, they can check out the [...]

It has been awhile since the A’levels. We talked and met up with several of our students. Some students are working and some are preparing their Personal Statements for overseas University [...]

Dear all, this is a general post on how to keep your study momentum up during this december holidays. As you already know, this december holidays is not only a time for you to rejuvenate yourself [...]

I’ve been asked many times recently about what university course to take, and also what university to go too, etc. Some students ask me how does Financial Mathematics work? So I’ve [...]

Our team at “theculture.sg” have been really busy the past few weeks, which explains the lack of posts. We have really exciting news to share with our reads. While we are busy preparing our [...]