Mr M's OCR (not OCR MEI) Core 4 answers June 2012

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  1. Mr M's Avatar
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    Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Mr M's OCR (not OCR MEI) Core 4 answers June 2012


    1. (i) \frac{1}{2-x} (2 marks)

    (ii) \frac{3}{(x-1)(x-4)} (4 marks)


    2. (x+2) \ln(x+2) -x + k (5 marks)


    3. (i) 1-2x+7x^2-22x^3 (6 marks)

    (ii) |x| < \frac{1}{4} (1 mark)


    4. y=\frac{1}{2} \ln (1+ 2 \ln|\cos x|) (6 marks)


    5. (i) 60 degrees (2 marks)

    (ii) \sqrt{13} (3 marks)


    6. Show integration by substitution (7 marks)


    7. \frac{\pi}{4}-\frac{2}{3} (7 marks)


    8. (a) -1 (4 marks)

    (b) (i) (-1, 0) (3 marks)

    (ii) t=\frac{1}{3} or t=1 (3 marks)


    9 (i) \frac{2}{x-2} - \frac{1}{x+1} - \frac{3}{(x-2)^2} (5 marks)

    (ii) \ln (\frac{16}{5}) -\frac{3}{2} (4 marks)


    10 (i) Show (3 marks)

    (ii) Show (4 marks)

    (iii) 3 : 2 (3 marks)
    Last edited by Mr M; 23-06-2012 at 17:55. Reason: Removed unnecessary modulus sign
  2. Doctor.'s Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Thank you once again
  3. a10's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    isnt the first one suposed to be a minus not +? and how did u get 3:2 on the last question
  4. Mr M's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by Doctor.)
    Thank you once again
    You are welcome. I'm off home now but will be able to answer questions in about 45 mins so anyone can post here and I will deal with them in a bit.
  5. Doctor.'s Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Mr M,

    I got \huge \frac{1}{2}ln(1-2ln\left | sec(x) \right |)


    For question 4, would that be acceptable?

    EDIT: Just read what you wrote Mr M, We'll we waiting!
  6. ∫f(x)'s Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    3i) Forgot to use 4x instead of x for last two terms. Would i get follow through for doing x(1+x^2) correctly?

    ii) I just put 1/4, probably wont get the mark but meh

    8b (i) I got t, but didnt put coordinate, how many marks will i lose?
  7. wibletg's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by a10)
    isnt the first one suposed to be a minus not +? and how did u get 3:2 on the last question
    He's changed the signs on the bottom of the equation
  8. Tateco's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by Mr M)
    You are welcome. I'm off home now but will be able to answer questions in about 45 mins so anyone can post here and I will deal with them in a bit.
    Thank you very much, on question 2 I arranged it in the by parts form but integrated x/(x+2) wrong, how many marks do you think that would lose me?

    And for 1ii would you get any marks at all if you started taking them away from each other? (So made the denominators the same)
    Last edited by Tateco; 21-06-2012 at 16:50.
  9. Mr M's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by a10)
    isnt the first one suposed to be a minus not +? and how did u get 3:2 on the last question
    -\frac{1}{x-2} would be an alternative right answer for 1).

    I got 3 :2 by finding the coordinates of B (-1, 0, 2) then finding the magnitude of OA as 3 sqrt 5 and the magnitude of OB as 2 sqrt 5.
  10. wibletg's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by Doctor.)
    Mr M,

    I got \huge \frac{1}{2}ln(1-2ln\left | sec(x) \right |)


    For question 4, would that be acceptable?

    EDIT: Just read what you wrote Mr M, We'll we waiting!
    Double post - sorry.

    It's exactly the same
  11. PhysicsMan's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Thank you.

    For Q2, I got:

    xln(x+2) + 2ln(x+2) - (x+2) + C

    Is this not right? Because I substituted boundaries into the integral in the question and then my answer- and it turned out to be correct?
  12. a10's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by Mr M)
    -\frac{1}{x-2} would be an alternative right answer for 1).

    I got 3 :2 by finding the coordinates of B (-1, 0, 2) then finding the magnitude of OA as 3 sqrt 5 and the magnitude of OB as 2 sqrt 5.
    i got 3 sqrt 5 but i didnt get 2 sqrt 5 hw many marks would i lose?
  13. awesomeness123's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    I reckon I got around 58, any guesses at what the A boundary is gonna be?
  14. Sgt.Incontro's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Hi Mr. M,

    What is your opinion on grade boundaries?

    A*?
    A?
    B?...

    etc.

    Cheers.
  15. Notsocleverstudent's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by Mr M)
    Mr M's OCR (not OCR MEI) Core 4 answers June 2012


    1. (i) \frac{1}{2-x} (2 marks)

    (ii) \frac{3}{(x-1)(x-4)} (4 marks)


    2. (x+2) \ln(x+2) -x + k (5 marks)


    3. (i) 1-2x+7x^2-22x^3 (6 marks)

    (ii) |x| < \frac{1}{4} (1 mark)


    4. y=\frac{1}{2} \ln |1+ 2 \ln|\cos x|| (6 marks)


    5. (i) 60 degrees (2 marks)

    (ii) \sqrt{13} (3 marks)


    6. Show integration by substitution (7 marks)


    7. \frac{\pi}{4}-\frac{2}{3} (7 marks)


    8. (a) -1 (4 marks)

    (b) (i) (-1, 0) (3 marks)

    (ii) t=\frac{1}{3} or t=1 (3 marks)


    9 (i) \frac{2}{x-2} - \frac{1}{x+1} - \frac{3}{(x-2)^2} (5 marks)

    (ii) \ln (\frac{16}{5}) -\frac{3}{2} (4 marks)


    10 (i) Show (3 marks)

    (ii) Show (4 marks)

    (iii) 3 : 2 (3 marks)
    This is a long one, sorry about this:

    For Question 2, I showed how to do integration by parts, but used completely different u and v thingys, and I've checked in the past mark scheme and it awarded 0 marks for integration by parts if wrong u and v used
    For question 3, I showed both the x^4 and x^5 terms
    For question 4, I seperated the variables, intergrated whatever whatever, and got c=1/2
    For question 10, i, i showed the 1st part only


    How many marks dropped from all of this?
    Last edited by Notsocleverstudent; 21-06-2012 at 17:21.
  16. lilipop's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Thank you!
  17. Doctor.'s Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by wibletg)
    Double post - sorry.

    It's exactly the same
    Thanks dude
  18. Blurb12345's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Can anyone remember exactly what question 1) ii) was? I ended up with (6x -24) in the numerator which i then cancelled to get 6 over the two other terms that weren't (x-4). Not sure where I went wrong...
    Last edited by Blurb12345; 21-06-2012 at 18:22.
  19. Mr M (jr)'s Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    (Original post by PhysicsMan)
    Thank you.

    For Q2, I got:

    xln(x+2) + 2ln(x+2) - (x+2) + C

    Is this not right? Because I substituted boundaries into the integral in the question and then my answer- and it turned out to be correct?
    You've just got an extra "+2" which presumably you got by using a substitution to integrate x/(x+2). This is still correct, but you can "swallow up" any numbers into your constant. You should still get full marks.
  20. Dislocator's Avatar
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    Re: Mr M's OCR (not OCR MEI) Core 4 answers June 2012
    Does anyone know what Question 8 actually was? Thanks!
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