Maths Trial Question 2019 (1 Viewer)

[hmim]

Hey I was wondering, what topic does this question fall under in Maths Ext 1?

How do you do it?

 

[jimmysmith560]

Part (i) is a question targeting the concept of internal and external division of a line which, as far as I am aware, has been removed from the current syllabus. I was taught this in Preliminary Mathematics Extension 1 as part of the old syllabus. It essentially involves inputting values from the given coordinates into the following formula:

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The result would be the coordinates of the point dividing the interval joining a line in a given ratio, either internally or externally, the latter being the condition of this question.

Part (ii) involves using the information from Part (i), specifically the fact that C divides AB externally in the ratio 3:1, as well as the fact that the ratio of intercepts on parallel lines is equal, to determine the ratio of DE : EF, which ends up being 2:1.

Since this concept is not assessed under the current syllabus, you should probably skip this question. However, the paper containing the question provides reasonably detailed solutions. If you are curious about concepts that were studied by previous cohorts under the previous syllabus, you can definitely still have a look at the paper's solutions.

I hope this helps!

 

[carrotsss]

I’d recommend focusing on trials from 2020 onwards, since that’s when the new syllabus was in place, and there are so many new syllabus trial papers on THSC that you probably won’t run out

 

[hmim]

Part (i) is a question targeting the concept of internal and external division of a line which, as far as I am aware, has been removed from the current syllabus. I was taught this in Preliminary Mathematics Extension 1 as part of the old syllabus. It essentially involves inputting values from the given coordinates into the following formula:

​

The result would be the coordinates of the point dividing the interval joining a line in a given ratio, either internally or externally, the latter being the condition of this question.

Part (ii) involves using the information from Part (i), specifically the fact that C divides AB externally in the ratio 3:1, as well as the fact that the ratio of intercepts on parallel lines is equal, to determine the ratio of DE : EF, which ends up being 2:1.

Since this concept is not assessed under the current syllabus, you should probably skip this question. However, the paper containing the question provides reasonably detailed solutions. If you are curious about concepts that were studied by previous cohorts under the previous syllabus, you can definitely still have a look at the paper's solutions.

I hope this helps!

Oh right! Thanks so much!

 

[hmim]

I’d recommend focusing on trials from 2020 onwards, since that’s when the new syllabus was in place, and there are so many new syllabus trial papers on THSC that you probably won’t run out

Thanks for the tips!