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Thread: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

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    Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    I hated this paper. Typing it was a massive bitch to do compared to previous years. I'm also going to post some memes here too.

    Usual stuff here everybody. Comment if you see errors but I think we should mostly be good. I've taken care to explain things as much as I can to aid understanding where needed.

    HSC 2018 Extension 2 Solutions.pdf
    Last edited by Carrotsticks; 30 Oct 2018 at 9:25 AM.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Question 16 is a meme.
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    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    The entire paper was a fat meme.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Does anyone by any chance know how many marks were allocated to each part of each question in the paper?

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Attached Images Attached Images

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes


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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Carrotsticks View Post
    I hated this paper. Typing it was a massive bitch to do compared to previous years. I'm also going to post some memes here too.

    Usual stuff here everybody. Comment if you see errors but I think we should mostly be good. I've taken care to explain things as much as I can to aid understanding where needed.

    https://www.dropbox.com/s/obrxl4z3gz...tions.pdf?dl=0
    Hi all
    In Q16 you attempt to use the converse of the equal intercept theorem. This converse does not hold. Just a few sketches will convince you that equal ratios of intercepts does NOT imply that the three lines are parallel. Fortunately it is given that the lines are parallel
    Cheers
    Last edited by peter ringout; 25 Oct 2018 at 11:06 PM.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Carrotsticks View Post
    that fking question wasted so much of my fkin time i coulda done q16 if it wasnt for that fukin stupid long fk

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    I really didn't like that question...

    What is the point of wasting our time by forcing us to perform so many expansions?
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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Carrotsticks View Post
    I hated this paper. Typing it was a massive bitch to do compared to previous years. I'm also going to post some memes here too.

    Usual stuff here everybody. Comment if you see errors but I think we should mostly be good. I've taken care to explain things as much as I can to aid understanding where needed.

    https://www.dropbox.com/s/obrxl4z3gz...tions.pdf?dl=0
    Not really much of an error, but just an inquiry about Q16 bii
    Let DE = x
    DE/BC = BF/BC = 1/root2 (because BF/BC = FG/CA = 1/root2 by corresponding sides of similar triangles in same ratio)
    therefore, DE = BF = x and so BC = root2 x
    FC = BC - BF = (root2 - 1)x
    ZE = FC = (root2 - 1)x (opposite sides of a parallelogram are equal)
    so we get, YZ = DE - (DY+ZE) = DE - 2ZE = x - 2(root2 -1)x = (3-2root2)x
    so YZ/BC = (3-2root2)x/(root2) x = (3 - 2root2)/root2
    which i think is a quicker and better solution haha
    Last edited by Q16slayer; 25 Oct 2018 at 10:18 PM.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Any guesses on the e4 cutoff?

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by fan96 View Post
    I really didn't like that question...

    What is the point of wasting our time by forcing us to perform so many expansions?
    they've finally run out of idea so they just pulled a giant expansion question
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    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    For your solution to the last question of the paper, although not impactful to the proof, you mistakenly represented as when it really should be . The point I'm making is that, by definition, , so the Im function doesn't include i and so you have to add it explicitly if you want it to be included.

    EDIT: Ignore what I said about it being negative lol
    Last edited by aa180; 25 Oct 2018 at 10:30 PM.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Paradoxica View Post
    they've finally run out of idea so they just pulled a giant expansion question
    Did it really have to be to the eighth power though?

    Wouldn't three or four have been enough...

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by fan96 View Post
    Did it really have to be to the eighth power though?

    Wouldn't three or four have been enough...
    If you expand by only keeping the imaginary part, then at least you essentially only have to write four terms for the expansion part.



    Edit: just had a proper look at the question. Yeah it's a bit annoying, looks like it was done to make it worth as many marks as it was. I think though once you get that



    Last edited by InteGrand; 25 Oct 2018 at 10:39 PM.
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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Q16slayer View Post
    Not really much of an error, but just an inquiry about Q16 bii
    Let DE = x
    DE/BC = BF/BC = 1/root2 (because BF/BC = FG/CA = 1/root2 by corresponding sides of similar triangles in same ratio)
    therefore, DE = BF = x and so BC = root2 x
    FC = BC - BF = (root2 - 1)x
    ZE = FC = (root2 - 1)x (opposite sides of a parallelogram are equal)
    so we get, YZ = DE - (DY+ZE) = DE - 2ZE = x - 2(root2 -1)x = (3-2root2)x
    so YZ/BC = (3-2root2)x/(root2) x = (3 - 2root2)/root2
    which i think is a quicker and better solution haha
    I like this answer. I knew as I was doing it that I was going a bit round-about. I rushed a bit too much and ended with a longer solution. Would you be okay with me adding your answer in as an alternative?

    Quote Originally Posted by aa180 View Post
    For your solution to the last question of the paper, although not impactful to the proof, you mistakenly represented as when it really should be . The point I'm making is that, by definition, , so the Im function doesn't include i and so you have to add it explicitly if you want it to be included.

    EDIT: Ignore what I said about it being negative lol
    Nice spotting I will fix this.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by fan96 View Post
    Did it really have to be to the eighth power though?

    Wouldn't three or four have been enough...
    general expansion question xd

    idk
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    I think there's an error with the trig integration
    it should be 2 root3 not 2/root3

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by Carrotsticks View Post
    I like this answer. I knew as I was doing it that I was going a bit round-about. I rushed a bit too much and ended with a longer solution. Would you be okay with me adding your answer in as an alternative?



    Nice spotting I will fix this.
    thats completely fine! im happy you liked it, although i didnt manage to pull off this answer during the actual exam so it really is a shame. The time- limit is a complete bummer to conceptual questions :c

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    hey carrot what do you think e4 cutoff would be?
    2018 HSC!!
    English | Maths Ext 1 | Maths Ext 2 | Physics | Software Design and Development | IPT

    ATAR aim: 96+ (Advanced Science(Physics Honours) and Comp Sci)

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by InteGrand View Post
    If you expand by only keeping the imaginary part, then at least you essentially only have to write four terms for the expansion part.
    The question said "Show that" - doesn't this mean we would basically have to perform the whole expansion in order to do the "showing"?

    Honestly if we were just required to expand it wouldn't be that bad, but it is also necessary to express and in terms of , which require even more expansions...

    Edit: just read your other reply, that would have been a nice time saver. I wish I thought of that.

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by fan96 View Post
    The question said "Show that" - doesn't this mean we would basically have to perform the whole expansion in order to do the "showing"?

    Honestly if we were just required to expand it wouldn't be that bad, but it is also necessary to express and in terms of , which require even more expansions...

    Edit: just read your other reply, that would have been a nice time saver. I wish I thought of that.


    Last edited by InteGrand; 25 Oct 2018 at 10:46 PM.
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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by thewildfrog View Post
    I think there's an error with the trig integration
    it should be 2 root3 not 2/root3
    yeah i thought that too..

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    Re: Carrotsticks' Extension 2 HSC 2018 Solutions + Memes

    Quote Originally Posted by kwonjiyong View Post
    yeah i thought that too..
    he just didnt rationalise the denom?

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