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Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2017 Watch

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    (Original post by eltree)
    if you forgot to rationalise the denominator would you still get full marks?
    Yes
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    also is there anyway to see what the diagram was mean to be for question 6i?
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    (Original post by Mr M)
    Mr M's OCR (not OCR MEI) Further Pure 1 answers May 2017


    1. \displaystyle \frac{n(n+5)(n-5)}{3} (5 marks)


    2. \pm (3\sqrt{5} - i \sqrt{2}) (5 marks)


    3. (i) \begin{pmatrix} 6 & 28 \\-14 & 7a-1 \end{pmatrix} (2 marks)

    (ii) \begin{pmatrix} 1 & 3a+28 \\-9 & 5a+4 \end{pmatrix} (3 marks)


    4. Proof (5 marks)


    5. (i) Shear with x axis invariant taking (0, 1) to (5, 1) (3 marks)

    (ii) \begin{pmatrix} 1 & 0 \\0 & 4 \end{pmatrix} (2 marks)

    (iii) \begin{pmatrix} 1 & 5 \\0 & 4 \end{pmatrix} (2 marks)

    (iv) 4 (2 marks)


    6. (i) Sketch (3 marks)

    (ii) \sqrt{18} and \frac{7\pi}{20} (5 marks)

    (iii) Perpendicular bisector of line segment joining z_1 and z_2 (2 marks)


    7 (i) Show (1 mark)

    (ii) 0.629 (5 marks)

    (iii) \frac{71}{105} (1 mark)


    8. a = -24, b = 45, c = -52 (7 marks)


    9 (i) a = 2 (5 marks)

    (ii) Any value other than a = 2 (1 mark)

    (iii) p = -1 (3 marks)


    10 (i) Show (4 marks)

    (ii) b=\pm \frac{a\sqrt{3}}{3} (6 marks)


    Thanks to Mr K and Mr H for their work on this.
    Mr M,
    1)For 6iii I described the line using the angle above the x-axis (along with some other details) but didn't mention that it was the perpendicular bisector. Would I lose any marks?
    2)For showing z1-z2 on the Argand diagram, how much labelling do you need? I drew it in the right place (I think), and drew it as part of a parallelogram with the origin and z1 and z2.
    3) For 10ii, I left the whole thing under the square root, +-√(a^2/3). Is there any penalty for this?
    Thanks!
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    (Original post by eltree)
    also is there anyway to see what the diagram was mean to be for question 6i?
    Mr H's artwork.
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    (Original post by ts241)
    Mr M,
    1)For 6iii I described the line using the angle above the x-axis (along with some other details) but didn't mention that it was the perpendicular bisector. Would I lose any marks?
    2)For showing z1-z2 on the Argand diagram, how much labelling do you need? I drew it in the right place (I think), and drew it as part of a parallelogram with the origin and z1 and z2.
    3) For 10ii, I left the whole thing under the square root, +-√(a^2/3). Is there any penalty for this?
    Thanks!
    1) Not enough for full marks

    2) That sounds good

    3) Probably still ok
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    (Original post by Mr M)
    Mr H's artwork.
    Hi Mr M,On 6i) I had the points in the right place and shower working to get the exact values but drew them as points instead of lines. How many marks will I lose?
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    Minor point I know, but is - √2i fine rather than -i√2?
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    (Original post by Mr M)
    Mr M's OCR (not OCR MEI) Further Pure 1 answers May 2017


    1. \displaystyle \frac{n(n+5)(n-5)}{3} (5 marks)


    2. \pm (3\sqrt{5} - i \sqrt{2}) (5 marks)


    3. (i) \begin{pmatrix} 6 & 28 \\-14 & 7a-1 \end{pmatrix} (2 marks)

    (ii) \begin{pmatrix} 1 & 3a+28 \\-9 & 5a+4 \end{pmatrix} (3 marks)


    4. Proof (5 marks)


    5. (i) Shear with x axis invariant taking (0, 1) to (5, 1) (3 marks)

    (ii) \begin{pmatrix} 1 & 0 \\0 & 4 \end{pmatrix} (2 marks)

    (iii) \begin{pmatrix} 1 & 5 \\0 & 4 \end{pmatrix} (2 marks)

    (iv) 4 (2 marks)


    6. (i) Sketch (3 marks)

    (ii) \sqrt{18} and \frac{7\pi}{20} (5 marks)

    (iii) Perpendicular bisector of line segment joining z_1 and z_2 (2 marks)


    7 (i) Show (1 mark)

    (ii) 0.629 (5 marks)

    (iii) \frac{71}{105} (1 mark)


    8. a = -24, b = 45, c = -52 (7 marks)


    9 (i) a = 2 (5 marks)

    (ii) Any value other than a = 2 (1 mark)

    (iii) p = -1 (3 marks)


    10 (i) Show (4 marks)

    (ii) b=\pm \frac{a\sqrt{3}}{3} (6 marks)


    Thanks to Mr K and Mr H for their work on this.
    Hi,
    On 5i could you say "shear with x axis invariant by shear factor 4"?
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    (Original post by Hyih)
    Minor point I know, but is - √2i fine rather than -i√2?
    Depends if the i is inside the root or not.
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    (Original post by Just sign in)
    Hi,
    On 5i could you say "shear with x axis invariant by shear factor 4"?
    Would it not be shear factor 5?
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    (Original post by britishtf2)
    Depends if the i is inside the root or not.
    Outside
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    (Original post by Just sign in)
    Hi Mr M,On 6i) I had the points in the right place and shower working to get the exact values but drew them as points instead of lines. How many marks will I lose?
    Points should be fine.
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    (Original post by Hyih)
    Outside
    Multiplication of complex numbers is commutative, so it's fine.
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    (Original post by Hyih)
    Minor point I know, but is - √2i fine rather than -i√2?
    Yes so long as your square root symbol clearly doesn't extend above the i.
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    (Original post by britishtf2)
    Would it not be shear factor 5?
    Yeah sorry, I forgot what the q was. The matrix was of the form 1k01 and I said shear factor k. I've forgotten what number k was
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    (Original post by Just sign in)
    Yeah sorry, I forgot what the q was. The matrix was of the form 1k01 and I said shear factor k. I've forgotten what number k was
    As far as I understand, it is correct, if shear factor 5. Please don't quote me on it though xd
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    (Original post by Just sign in)
    Hi,
    On 5i could you say "shear with x axis invariant by shear factor 4"?
    If you put shear factor 5 then yes.
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    (Original post by britishtf2)
    As far as I understand, it is correct, if shear factor 5. Please don't quote me on it though xd
    Yes that's ok.
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    (Original post by Mr M)
    Yes that's ok.
    Good to know I understand maths... outside of exams -.-
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    Has anyone done a walkthrough for question 10 ii).?
 
 
 
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