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The following is a question that involves modulus, I think something similar came out in ACJC Prelim Paper to have students consider the range of x before attempting the inequality. For this [...]

Complex Numbers would definitely is one of my favourite topics in Pure Mathematics. Its a pity that H1 Mathematics will not to get to learn them. Firstly, Complex Numbers is being used very [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Observe we let , then (iii) (iv) Both perpendicular bisector [...]

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

Many students seem to know how to solve a Min/ Max problem easily but do not understand. I hope this gives them some insights into Min/ Max problem. Firstly, what is a Min/ Max problem? It is [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Depth drilled on the 10th day Total depth (ii) Thus, it takes 40 [...]

This is question that was tested in ACJC H2 Math Prelim P1 2015. A few of my students know how to answer it but were uncertain how to express it. Most students were concerned with (ii) of the [...]

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) (a) When When (b) When Reject since when (c) From the graph, As [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) since KS Comments: There are other alternative methods to [...]