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Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015 watch

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    (Original post by Chiefliam)
    Thanks do much for this Mr M!
    For 9ii) I got all mixed up. I put non unique for a=3 but then I proved the equations were consistent finding an exact answer, will this scrape me any marks? For part B I said unique solution but I stated DetD=0 as I mixed up my facts about determinants. You think that will get a mark?
    I hope there was error carried forward for 10 because I got u^3+16u -9 but didnt get a value for u^2. so in part ii I used the correct method but found that (-b/a)^2 was 0 this meant my final answer was -35 as I got the aby = -3. I really hope I haven't sacrificed loads of marks here when i was just on the cusp of getting them. The grade boundaries better be low!
    I'm not sure you will get anything for 9ii.

    There will be error carried forward for the last part of 10.
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    (Original post by Mr M)
    I'm not sure you will get anything for 9ii.

    There will be error carried forward for the last part of 10.
    Thanks for the quick response, this is such a relief!
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    How many marks will be lost for getting 35 instead of 29 for 10 ii?


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    (Original post by GM16)
    How many marks will be lost for getting 35 instead of 29 for 10 ii?


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    (Original post by Mr M)
    Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015


    1. 2(x^2+y^2) (3 marks)


    2. \frac{n}{2} (2n-3)(n+3) (4 marks)


    3. (i) \frac{1}{2} \begin{pmatrix} 1 & -a \\0 & 2 \end{pmatrix} (2 marks)

    (ii) \begin{pmatrix} 1 & 2a \\2 & 2a+1 \end{pmatrix} (3 marks)


    4. Complete proof (5 marks)


    5. (i) Circle centre -2 + 0i radius 2 and half line starting at the centre of the circle 30 degrees above the negative real axis (4 marks)

    (ii) -2-\sqrt 3 + i (2 marks)

    (iii) Shade sector inside circle between half line and negative real axis (2 marks)


    6. (i) A' = (0, -1) B' = (2, -1) C' = (2, 0) (3 marks)

    (ii) One possible combination is stretch in y direction scale factor 2

    \begin{pmatrix} 1 & 0 \\0 & 2 \end{pmatrix}

    followed by rotation 90 degrees clockwise about the origin

    \begin{pmatrix} 0 & 1 \\-1 & 0 \end{pmatrix} (4 marks)


    7. (i) \pm (3+2i) (5 marks)

    (ii) x=-1-2i or x=5+2i (5 marks)


    8. (i) Show (2 marks)

    (ii) -\frac{1}{n+1}-\frac{3}{n}+\frac{7}{2} (6 marks)

    (iii) \frac{5}{4} (2 marks)


    9. (i) a = 5 or a = 1 (6 marks)

    (ii) (a) Unique solution

    (b) Inconsistent equations (4 marks)


    10. (i) u^3+8u^2+16u-9=0 (3 marks)

    (ii) 29 (7 marks)


    Edit: I've corrected the answer to 8(ii) as it had the wrong signs
    I'm trying to work out what you've done in 3(ii).

    I'm pretty sure P should be \begin{pmatrix} 1 & 0 \\2 & 1-2a \end{pmatrix}
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    (Original post by Mr M (jr))
    I'm trying to work out what you've done in 3(ii).

    I'm pretty sure P should be \begin{pmatrix} 1 & 0 \\2 & 1-2a \end{pmatrix}
    I have no idea. Amended.
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    hi, for the loci question i used center (0,-2i) instead of (-2,0) and did the half line from this point. How many marks in this question will i have lost
 
 
 
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