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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

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 [...]

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 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 [...]

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 [...]

Congratulations on the completion of A’levels for the 2016 batch! As for those who still, are taking A’levels 2017, we hope you find this site helpful. Read the comments (ignore the [...]

VJC P1 Q6 A curve has equation and a line has equation as shown above. is a fixed point on C and A is an arbitrary point on . State the geometrical relationship between the line segment AB and is [...]