Formula to calculate total amount in a compound interest question is provided in GCE O-Level E-Maths examinations so students don’t have to memorise.
It is therefore important for students to know how to use the compound interest formula.
Notice in these two questions, the frequency of compounding affects the value of r and n so it affects the total amount as well.
I always share with my students to put themselves in the shoes of a banker who helps their client to grow their money. The frequency of compounding is just like the frequency they meet their client and at each meeting they need to inform how much rate their money has grown based on the frequency of compound.
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Binomial Theorem came out as a 9 marks question in 2009 GCE ‘O’ Level Additional Mathematics Paper (Subject Code: 4038) so you know as well as I do the importance of Binomial.
Read about other useful posts on Binomial Theorems:
I’m looking at the question now. It is testing on the usage of the Binomial formula, including the ‘n choose r’ formula. Many students call this sign: ‘!’ ‘exclamation mark’ which is known correctly as factorial.
I will be using the following question to illustrate how to simplify the ‘n choose r’ formula without memorizing. (I understand some schools want students to memorize)
Let’s begin by understanding what’s ‘n choose r’ all about:
Click on image for larger view
Do you know how to simplify ‘n choose 3′?
Here’s the question which requires us to apply what we have discussed. I would suggest you attempt it on your own before clicking here for the solution.
binomial-question
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Proportion is a topic taught in Secondary 1 and 2. In fact, we have learnt about direct proportion much younger.
DIRECT PROPORTION
A real simple example of Direct Proportion would be the more money I have, the more things I can buy. When amount of money increases, the number things I can buy increase too. (Notice the increase in both things)
Another example, the less I eat, the thinner I become, so as the amount of food eaten decreases, my weight decreases too.
INVERSE PROPORTION
An example of inverse proportion most of you can relate to would be: the more time I spent on Facebook (PSP, WII, Internet), the less time I have on my books!
Allow me to add in another example of Inverse Proportion, the more I spent, the less I have in my bank.
These are some examples (simple) to understand the true meaning of Direct or Inverse proportion.
In the next post, I will be sharing with you how we can translate a statement into an equation involving proportion. I’m also going to highlight the ‘tricky’ proportion question in 2008 GCE O Level Elementary Mathematics Paper 1.
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Hi,
I'm Ai Ling. I enjoy coaching students who have challenges with
understanding and scoring in 'O' Level A-Maths and E-Maths. 
