Mathematics

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 .

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 [...]

For students who took A’levels in 2016, please note that information for the release of A’levels Results 2016 can be found in the following! Release of A’levels 2016 Grade [...]