Differential Equations (Applications)

When Mr. Teng retired on 1 January 2018, he put a sum of 500 at the start of each month for groceries. Denote the amount of money that Mr. Teng has at the time years by . (i) The differential [...]

Random Questions from 2017 Prelims #3

Here is another question that is from CJC H2 Mathematics 9758 Prelim Paper 1. Its a question on differentiation. I think it is simple enough and tests student on their thinking comprehension [...]

Thinking [email protected] #5

[email protected] is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking [email protected] is curated by KS. More of [...]

June Crash Course

The team at The Culture SG has been really busy and we have a lot of things prepared to help you guys work for that A. First up! Crash course for June… And we know it is a bit late to be [...]

A little reminder to students doing Calculus now

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: [...]

Importance of Mathematics in Finance

Students over the years do ask me, why do I take Mathematics? Like whats the use other than becoming a teacher. So here is a video with Jim Simons. In this interview, he shares how he cracked [...]

2011 A-level H2 Mathematics (9740) Paper 2 Question 2 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Let Since We reject since Required stationary value of KS [...]

Evaluating Integrals with Modulus

Many students seem to struggle when they see an integral with modulus as they do not know where to begin with. The first thing they should note is that, we cannot evaluate an integral with [...]

All tangents are straight lines

One of the most upsetting things to mark on students’ script is when questions ask them to commend on tangents as , etc. Following are some example of answers ” As , tangents become [...]

2010 A-level H2 Mathematics (9740) Paper 1 Question 9 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Volume, V Surface area, A gives the minimum total surface area. (ii) [...]

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