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Thread: Cambridge HSC MX1 Textbook Marathon/Q&A

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    Cambridge HSC MX1 Textbook Marathon/Q&A

    Seeing that we have a thread open for Year 11 3 Unit Cambridge, I have decided to open up a thread for Year 12 3 Unit Cambridge for all discussion on questions that students are working on.

    I'll kick the ball rolling

    EXERCISE 2A
    Q5j

    Been spending only 3 minutes on this but i got my final answer in radians, not exact value, as required in the question.



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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Last edited by Drongoski; 21 Feb 2016 at 8:25 PM.
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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Wow, literally no one has commented on this thread

    Speaking of year 12 maths topics (for extension 1) which would be the hardest maths topic and why? (e.g. in extension 2, Harder 3U is the hardest maths topic. Not sure why because I have never studied it)

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by eyeseeyou View Post
    Wow, literally no one has commented on this thread

    Speaking of year 12 maths topics (for extension 1) which would be the hardest maths topic and why? (e.g. in extension 2, Harder 3U is the hardest maths topic. Not sure why because I have never studied it)
    Probably Perms and Combs, judging by popular consensus.

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by InteGrand View Post
    Probably Perms and Combs, judging by popular consensus.
    We did Perms and Combs around this time in year 11 :'(
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    Quote Originally Posted by leehuan View Post

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by eyeseeyou View Post
    Wow, literally no one has commented on this thread

    Speaking of year 12 maths topics (for extension 1) which would be the hardest maths topic and why? (e.g. in extension 2, Harder 3U is the hardest maths topic. Not sure why because I have never studied it)
    Rather than Perms and Combs which many seem to find the hardest, I would probably say either Motion or Binomial - both of which have pretty easy concepts to grasp but the wording of questions can kinda get a bit confusing.
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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by Shuuya View Post
    We did Perms and Combs around this time in year 11 :'(
    Nice! Yeah, most people seem to find combinatorics or binomials questions the hardest.

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by Shuuya View Post
    We did Perms and Combs around this time in year 11 :'(
    What the hell, why so early? Probs b/c you go to a top school

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Will post here anyway since I don't want to open a new thread for just one question.



    How can you justify the particle changes direction without describing the motion beforehand?

    Also, my teacher says you cannot use the phrase "simple harmonic motion".

    Would it then be acceptable to instead describe the motion as "oscillatory"?
    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: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Not sure how to do (b)



    Thanks!
    Last edited by Shuuya; 14 Apr 2016 at 12:41 AM.
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    Quote Originally Posted by leehuan View Post

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    cos(2θ)=7/25
    2θ=cos^-1(7/25)
    But θ = sin^-1(3/5)
    So 2sin^-1(3/5) = cos^-1(7/25)

    lol

    Part a was harder

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by leehuan View Post
    cos(2θ)=7/25
    2θ=cos^-1(7/25)
    But θ = sin^-1(3/5)
    So 2sin^-1(3/5) = cos^-1(7/25)

    lol
    .-.

    Thanks xD
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    Quote Originally Posted by leehuan View Post

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Always good to draw a diagram

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by davidgoes4wce View Post
    Always good to draw a diagram

    I think it (tfw still don't know Shuuya's gender) got part a) out. But tbh if you just used 1-sin^2(x)=cos(2x) that would've saved the need to draw out the triangle

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Need help with q22 ex 3e motion cambridge yr 12

    a particle moves on a line and the table below shows some observations of its positions at certain times

    t 0 .....................7.................. 9 ................ 11.... 18
    x 0 .......... (not given) ..........(not given) ...... 2 ......... 0

    complete the table if the particle is moving with constant acceleration
    complete the table if the particle is moving in a simple harmonic motion iwth centre the origin and period 12 seconds.

    im confused on how to use this table to find velocity and acceleration? any thoughts thanks

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    It was worded too horribly for me to figure it out when I looked at it being as tired as I am.

    Here's the question to anyone else free to help formatted betterScreen Shot 2016-04-13 at 11.58.28 PM.png

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    EX 4D
    Q18 c

    Can get the remainder of 8, just not sure about my working out for the A(x). Q(x) part









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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by Paradoxica View Post
    Will post here anyway since I don't want to open a new thread for just one question.



    How can you justify the particle changes direction without describing the motion beforehand?

    Also, my teacher says you cannot use the phrase "simple harmonic motion".

    Would it then be acceptable to instead describe the motion as "oscillatory"?
    Do you mind me asking where you got that question from? Also would you happen to have the answer? Just want to compare my answers.
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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by davidgoes4wce View Post
    EX 4D
    Q18 c

    Can get the remainder of 8, just not sure about my working out for the A(x). Q(x) part









    For some people who do not have access to the textbook you should include the original question as well.

    Side note good to see you've picked up LaTeX
    _______________________________

    You missed one step.

    =(Q(x)+Q(-x))(x^2-5)+8

    After that you can draw your conclusion

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by Paradoxica View Post
    Will post here anyway since I don't want to open a new thread for just one question.



    How can you justify the particle changes direction without describing the motion beforehand?

    Also, my teacher says you cannot use the phrase "simple harmonic motion".

    Would it then be acceptable to instead describe the motion as "oscillatory"?
    That doesn't look like SHM though...


    _______________________________________

    Part d) looks like it wants to talk about the whole thing. If motion is in a way periodic then you'd probably have to refer to every say 2 seconds.
    Part c) should be fine by just finding one case where v>0 and v<0

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by leehuan View Post
    That doesn't look like SHM though...


    _______________________________________

    Part d) looks like it wants to talk about the whole thing. If motion is in a way periodic then you'd probably have to refer to every say 2 seconds.
    Part c) should be fine by just finding one case where v>0 and v<0
    I should just use elliptic integrals to find the position-time equation...

    Also that is a rather bland approach to part c)
    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: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by Paradoxica View Post
    I should just use elliptic integrals to find the position-time equation...

    Also that is a rather bland approach to part c)
    It is. But I mean, it looks like you got this question out of the HSC. So what did you really expect lol

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    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread

    Quote Originally Posted by leehuan View Post
    For some people who do not have access to the textbook you should include the original question as well.

    Side note good to see you've picked up LaTeX
    _______________________________

    You missed one step.

    =(Q(x)+Q(-x))(x^2-5)+8

    After that you can draw your conclusion
    I'll keep that in mind, didn't want to be rude or anything as the student only posted a link.
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