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Maths;; Remainder Concept

Remainder concept is widely used in setting questions, and it may be quite confusing is there are too many remainders. A good method to solve these kind of questions is by using the model, but many have seen so much of these questions that they don't even need to use the model anymore. The keywords in the Remainder Concept questions are ... of the remainder. This means that the whole is not the total of the whole thing, but the whole represents the remainder. Take note that 'of' represents times. (Multiply). Let's take a look at an example below:

Mr Tan bought a box of markers. 3/7 of it were blue markers. 3/8 of the remainder were red markers. The rest were black markers. If there were 15 black markers in total, how many red markers were there?

Now, let's draw a model to see what everything means. :D

In order to make everything easier, we also cut up the white units to be the same as the red and grey units. The smallest common multiple of 4 and 8 is 8, so we cut up each of the white untis into 2. Not forgetting, each of the blue units also needs to be cut into 2.

So, it is obvious that 15 is equal to 5 units. We have to find 1 unit.

15 / 5 = 3

Each unit is 3. The question asks: How many red markers were there? Red markers is 3 units, so we find 3 units.

3 x 3 = 9

Simple right? :D