### 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 [...]

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 [...]

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 [...]

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 [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) KS Comments: Formulas!!! Every simple questions involving formulas!

A student asked me this question recently. I think this is from AMC. There are 42 points placed on a straight line so that each distance from to is where . What is the sum of the distances [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) Let P(n) be the statement When n=1, LHS RHS Since LHS = RHS, P(1) is [...]

I came across this interesting algebra/ arithmetic problem the other day. … Do you think this will always work? Hint: We can use algebra to prove this cool sequence easily. Arithmetic [...]

This is an interesting and simple question. Putting the answer here will take the fun out of figuring this summation out. I will advice/ hint that you look at your standard series in MF15 [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) As (iii) Let P(n) be the statement “” for When . Thus, P(1) is [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let P(n) be the preposition When , P(1) is true. Assume the P(k) is [...]

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