OFFICIAL AQA FP1 18th MAY 2012 Thread

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  1. mathslover1's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by SamHLFC)
    I got my complex number z to be z= -3 -2i. So I got that wrong:/ Also forgot to put my p values back into the equation to find the x value. Think I got the matrices, except the M^2004 question. What did everyone get for the Newton Raphson method?
    0.1934
  2. bratwast's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by ryanboi)
    Mate you can use either your method or the 360degree + alpha one. Both gives the right answer, just different way of showing it. You won't get mark off for using different general solutions.
    yeah I thought not, cheers bro
  3. SamHLFC's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by mathslover1)
    0.1934
    Good, at least I got that right. I got -31 for the gradient question, asymptotes y=0, x=1 and another x asymptote. Got interval 1.175<x<2. Think I dropped 4 on the discriminant question. Think I dropped 3 on complex numbers and 3 on the sum & product somehow
  4. kirstyy93's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by croasdaj)
    The general solution question, you had to do sin-1 of (cos20) to get 70. Then just work from there like normal.
    You get x=-540n
    x=-540n -60
    our teacher went through this so im pretty sure its right
    Ahh that's what I got, but I stupidly added 2npi instead of 360 degrees so I ended up with x=-3npi and x=-60-3npi

    How many marks do you reckon I would lose? Did your teacher give you a rough idea of marks etc?
  5. Nebula's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    Here are my solutions. The questions are probably in the wrong order. If people can correct my question order/ typos/ incorrect answers it would be appreciated.
    x = (105-270n-(105x(-1)^n))
    This is correct, just messy (IMO). I don't understand why anyone would think this is somehow better than just using two equations.
    Attached Files
  6. File Type: pdf AQA FP1.pdf (93.1 KB, 548 views)
  7. kirstyy93's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Nebula)
    Here are my solutions. The questions are probably in the wrong order. If people can correct my question order/ typos/ incorrect answers it would be appreciated.

    This is correct, just messy (IMO). I don't understand why anyone would think this is somehow better than just using two equations.
    I got pretty much the same apart from the matrices question, I reckon I've dropped 4 marks on that.

    Also, on the trig question I stupidly added 2npi nested of 360 degrees, I still got the same answer only it wasn't completely in degrees :/ any ideas how many marks I will lose?
  8. Miyata's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Nebula)
    Here are my solutions. The questions are probably in the wrong order. If people can correct my question order/ typos/ incorrect answers it would be appreciated.

    This is correct, just messy (IMO). I don't understand why anyone would think this is somehow better than just using two equations.
    I just did on wolfram, that trig question definitely had alpha as 70 :// (too bad for me). I also got the solving inequality wrong, if the method is correct in your work. Was it done by the teacher? I got something like:
    x/(x+1)(x-2) + 0.5 *((x+1)(x-2)/(x+1)(x-2)) =< 0
    simplifying to:
    x/(x+1)(x-2) + ((x+1)(x-2)/2(x+1)(x-2)) =< 0
    x/(x+1)(x-2) + 1/(x+1)(x-2) =< 0
    x+1/(x+1)(x-2) =< 0
    so Critical values: x= -1* (asymptote), x = 2
    Drew a sign diagram, were values below -1 gives negative, values above 2 give positive, and values below 2 and above -1 are negative, so for the solution I wrote
    x < -1, and -1< x =< 2
    Is that right or wrong? If wrong how many marks would I get?

    And for trig question, I used correct method, and everything, just had used wrong alpha value so I got -540n with different angles, out of how 6 marks how many would I get? because when looking at mark schemes, they always a lot of marks like 4 marks even if its wrong solution, and then 2 marks for the final correct solution.
    Last edited by Miyata; 18-05-2012 at 15:16.
  9. smallfish008's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    I was surprised when the paper didn't ask any question on summation or linear form. But the paper was quite nice.
  10. bratwast's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    I'm guessing the mark scheme is going to be tight. 65/75 for an A maybe
  11. Miyata's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by bratwast)
    I'm guessing the mark scheme is going to be tight. 65/75 for an A maybe
    I hope they won't be tight, better for everyone, getting higher UMS.
  12. bratwast's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    yeah but they have to change the ums so that a certain percentage of students in the country get an A (stupid I know).

    If not enough people get over the boundary and too many are under they will lower/heighten the boundary accordingly. Seems like nearly everyone found it easy... could be a record breaking low for C2 and a record breaking high for FP1 by the sounds of it. AQA have got messy haha
  13. James181's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    Can anyone give me some reassurance on this?

    For the general solution I got x = 540n, x = 540n - 60

    I realise I probably should have put -540n, but I thought that since n is any integer the sign wouldn't matter? Do you think I will still get credit for this solution?

    Cheers
  14. Nebula's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Miyata)
    x/(x+1)(x-2) + 0.5 *((x+1)(x-2)/(x+1)(x-2)) =< 0
    simplifying to:
    x/(x+1)(x-2) + ((x+1)(x-2)/2(x+1)(x-2)) =< 0
    x/(x+1)(x-2) + 1/(x+1)(x-2) =< 0
    I have no idea how you did this step. Next steps should be:
    2x/2(x+1)(x-2) + (x^2-x-2)/2(x+1)(x-2) ≤ 0
    (x^2+x-2)/2(x+1)(x-2)≤ 0
    (x+2)(x-1)/(x+1)(x-2)≤ 0
    x=+-1 and +-2 are critical values ... -2≤x<-1 1≤x<2.
    x+1/(x+1)(x-2) =< 0
    so Critical values: x= -1* (asymptote), x = 2
    Drew a sign diagram, were values below -1 gives negative, values above 2 give positive, and values below 2 and above -1 are negative, so for the solution I wrote
    x < -1, and -1< x =< 2
    Is that right or wrong? If wrong how many marks would I get?
    I think this is wrong. The question was only 2 or 3 marks (I think) but I don't know what you would get (max 1 or 2 because it's wrong).

    As for the trigonometry, not really sure how many marks maybe 4 or 5?
    For the inequality Q, i put down -2≤x≤-1 and 1≤x≤2 so i had wrong inequality signs, would that still get me 2 out of 3, do you think?
    You would lose 1 mark for this on past mark schemes so would probably only lose one here (If the mistake is repeated it only loses one mark).
    Last edited by Nebula; 18-05-2012 at 16:11.
  15. kasiasunshine's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    For the inequality Q, i put down -2≤x≤-1 and 1≤x≤2 so i had wrong inequality signs, would that still get me 2 out of 3, do you think?
  16. Kyyp's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    How many marks lost if you did the cyclical part of the general solution in radians and got the correct answer?
    Also, 1 method mark for (m^4)^503 = m^2012?
  17. Marsters's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Nebula)
    I have no idea how you did this step. Next steps should be:
    2x/2(x+1)(x-2) + (x^2-x-2)/2(x+1)(x-2) ≤ 0
    (x^2+x-2)/2(x+1)(x-2)≤ 0
    (x+2)(x-1)/(x+1)(x-2)≤ 0
    x=+-1 and +-2 are critical values ... -2≤x<-1 1≤x<2.
    Surely x could not have been equal to -2 or 1 as there were asymptotes at those points.
  18. mathslover1's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by kasiasunshine)
    For the inequality Q, i put down -2≤x≤-1 and 1≤x≤2 so i had wrong inequality signs, would that still get me 2 out of 3, do you think?
    Yeah me too, i got the wrong signs..
    Yeah i was acctually thinking waht the 3rd mark might be for, thought it would be the signs?
  19. mathslover1's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Nebula)
    Here are my solutions. The questions are probably in the wrong order. If people can correct my question order/ typos/ incorrect answers it would be appreciated.

    This is correct, just messy (IMO). I don't understand why anyone would think this is somehow better than just using two equations.
    lost a mark acctually really happy (maybe a few more for B1 marks)
  20. croasdaj's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by kirstyy93)
    Ahh that's what I got, but I stupidly added 2npi instead of 360 degrees so I ended up with x=-3npi and x=-60-3npi

    How many marks do you reckon I would lose? Did your teacher give you a rough idea of marks etc?
    I've actually seen on a couple of mark schemes were they allow the use of 2npi, but our teacher said probably 2 marks.
    You would get marks for working out 2 solutions, re-arranging to get x=...
  21. Nebula's Avatar
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    Re: OFFICIAL AQA FP1 18th MAY 2012 Thread
    (Original post by Marsters)
    Surely x could not have been equal to -2 or 1 as there were asymptotes at those points.
    no, asymptotes were at x=-1 and x=2.
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