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Thread: HSC 2017 MX1 Marathon

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    HSC 2017 MX1 Marathon

    Post any questions within the scope and level of Mathematics Extension 1. Once a question is posted, it needs to be answered before the next question is raised.

    This thread is mainly targeting Q1-14 difficulty in the HSC.

    Some housekeeping rules:

    1. Provide neat working out when possible

    2. Don't flood the thread with multiple unanswered questions

    3. Since HSC MX1 Mathematics can be tested up to 30% of the maths you did in preliminary, feel free to post the often odd and challenging questions

    Source(s): http://community.boredofstudies.org/...-marathon.html
    http://community.boredofstudies.org/...-marathon.html

    I encourage all current HSC students in particular to participate in this marathon.

    To start off:

    The point P(6p, 3p^2) is a point on the parabola x^2 = 12y .
    (i)Find the equation of the tangent of P
    (ii)The Tangent at P buts the y-axis at B. The point A divides PB internally in the ratio 1:2
    Find the locus of the point A as P varies
    Last edited by dan964; 10 Oct 2017 at 11:40 AM.

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    Re: HSC 2017 MX1 Marathon

    MX1 only goes up to question 14 lolol

    \text{hello}

    How do you do latex?



    Edit: Thanks trecex
    Last edited by pikachu975; 8 Oct 2016 at 1:18 PM.
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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by pikachu975 View Post
    MX1 only goes up to question 14 lolol

    \text{hello}

    How do you do latex?
    You need to enclose your code in tex tags: [.tex] [./tex] (without the full stops).

    You can practise it here for instance: http://community.boredofstudies.org/...-practice.html .

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by eyeseeyou View Post
    Post any questions within the scope and level of Mathematics Extension 1. Once a question is posted, it needs to be answered before the next question is raised.

    This thread is mainly targeting Q1-15 difficulty in the HSC. Any questions of Q16 difficulty or harder should be posted in the Advanced thread.

    Some housekeeping rules:

    1. Provide neat working out when possible

    2. Don't flood the thread with multiple unanswered questions

    3. Since HSC MX1 Mathematics can be tested up to 30% of the maths you did in preliminary, feel free to post the often odd and challenging questions

    Source(s): http://community.boredofstudies.org/...-marathon.html
    http://community.boredofstudies.org/...-marathon.html

    I encourage all current HSC students in particular to participate in this marathon.

    To start off:

    The point P(6p, 3p^2) is a point on the parabola x^2 = 12y .
    (i)Find the equation of the tangent of P
    (ii)The Tangent at P buts the y-axis at B. The point A divides PB internally in the ratio 1:2
    Find the locus of the point A as P varies


    This took years to type and the answer is probably wrong lol
    Last edited by pikachu975; 8 Oct 2016 at 1:37 PM.
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    Buy my books/notes cheaply here!

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    2017 HSC: // English Adv // Bio // Phys // 3U Maths // 4U Maths //
    Goal: 99.8+

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    Re: HSC 2017 MX1 Marathon


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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by leehuan View Post


























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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Drsoccerball View Post


























    Ok already mr first year :P fancy shmancy layout

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    Re: HSC 2017 MX1 Marathon





    Last edited by InteGrand; 8 Oct 2016 at 2:15 PM.
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    Re: HSC 2017 MX1 Marathon

    That 4u induction in the 3u marathon though
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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by InteGrand View Post




    Here's the induction, part, I'll try the next part later

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by InteGrand View Post






































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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Drsoccerball View Post

































    Well done!

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Drsoccerball View Post


























    3rd last line: where did 2(1+2+3+..+k) go?
    2016 Preliminary

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    2017 HSC

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    Atar aim: 97
    Desired Course: Physiotherapy

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Rathin View Post
    3rd last line: where did 2(1+2+3+..+k) go?
    Summed the AP up.

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    Re: HSC 2017 MX1 Marathon

    In how many ways can you climb 15 steps by only taking 1 or 3 steps at a time?

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by leehuan View Post
    Summed the AP up.
    AP? sorry I just started Induction
    2016 Preliminary

    Maths Extension • English Advanced • Biology • Legal Studies • Physics • PDHPE

    2017 HSC

    Maths Extension 2 • English Advanced • Biology • Physics • PDHPE

    Atar aim: 97
    Desired Course: Physiotherapy

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Rathin View Post
    AP? sorry I just started Induction
    arithmetic progression;

    https://en.wikipedia.org/wiki/Arithmetic_progression
    HSC 2017
    General Maths - English Standard - Biology - Senior Science - Geography
    Atar aim: 72
    Course: Bachelor of Arts @ WSU

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Drsoccerball View Post
    In how many ways can you climb 15 steps by only taking 1 or 3 steps at a time?
    Is it 18?

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by Drsoccerball View Post
    In how many ways can you climb 15 steps by only taking 1 or 3 steps at a time?
    95
    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: HSC 2017 MX1 Marathon

    Quote Originally Posted by Paradoxica View Post
    95
    Could you show your working out? I read the question wrong with 10 steps but with 15 steps, this is my working out:

    15 Steps

    3 Step // 1 Step

    5 // 0 = 1 Way
    4 // 3 = 35 Ways
    3 // 6 = 84 Ways
    2 // 9 = 55 Ways
    1 // 12 = 13 Ways
    0 // 15 = 1 Way

    Therefore 189 ways.

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by si2136 View Post
    Could you show your working out? I read the question wrong with 10 steps but with 15 steps, this is my working out:

    15 Steps

    3 Step // 1 Step

    5 // 0 = 1 Way
    4 // 3 = 35 Ways
    3 // 6 = 84 Ways
    2 // 9 = 55 Ways
    1 // 12 = 13 Ways
    0 // 15 = 1 Way

    Therefore 189 ways.
    You're right, I was counting the wrong diagonal set.

    oops
    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: HSC 2017 MX1 Marathon

    Quote Originally Posted by Paradoxica View Post
    You're right, I was counting the wrong diagonal set.

    oops
    It's okay

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    Re: HSC 2017 MX1 Marathon

    This is going well beyond the scope of MX1 now but...





    Drsoccerball and Paradoxica are not allowed to post their solutions
    Last edited by leehuan; 8 Oct 2016 at 8:51 PM.

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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by leehuan View Post
    This is going well beyond the scope of MX1 now but...





    Drsoccerball and Paradoxica are not allowed to post their solutions
    This is even going beyond the course of MX2... It's evil to leave them wandering...

    Hint: Instead of counting up count the ways you can finish.

  25. #25
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    Re: HSC 2017 MX1 Marathon

    Quote Originally Posted by leehuan View Post
    This is going well beyond the scope of MX1 now but...





    Drsoccerball and Paradoxica are not allowed to post their solutions
    What about Integrand
    Offering tutoring for Biology, Maths, Maths Ext 1, and Maths Ext 2.

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    2017 HSC: // English Adv // Bio // Phys // 3U Maths // 4U Maths //
    Goal: 99.8+

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