Mathematics

I came across the integral a few days ago. Pretty interesting, many ways to solve this integral, be it graphically or by substitution. ? Answer: Hint: Consider the graph of , it should give a [...]

Easier than 2014. Tricky. Very tricky. Tedious. When I did it, it felt a bit like a AJC paper slightly, so I believe AJC students might find the paper quite comfortable. Paper is not super [...]

Since many students were asking, I thought I’ll roughly explain the bell curve and its distribution properties. Before that, I thought I should mention that I’m not really sure myself [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Students are highly encouraged to discuss freely for alternative [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Let (reject since When , using trigonometry identity, we find [...]

Heard of Skewes’ Number? It is the number above which must fail (assuming that the Riemann hypothesis is true), where is the prime counting function and is the logarithmic integral. Isaac [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Vol (iii) When When Vol Back to 2015 A-level H2 Mathematics [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) For to be purely imaginary, (bi) for (bii) and By Cosine Rule, Back [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let and denote the total time A & B take respectively, in [...]