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AQA A2 Mathematics MPC4 Core 4 - 9th June 2015 [Discussion & unofficial markscheme] Watch

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    (Original post by CD223)
    What are you aiming for? That could be enough for an A*?


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    Aiming for an a* but seems to be hopeless.But I check 2012 and 2013 grade boundaries, I can just hopefully get an a* if this year's boundary follows the trade Can forgive myself making tones of silly mistakes.


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    (Original post by Renewhj)
    Aiming for an a* but seems to be hopeless.But I check 2012 and 2013 grade boundaries, I can just hopefully get an a* if this year's boundary follows the trade Can forgive myself making tones of silly mistakes.


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    I'm sure this year's boundaries will follow the trend. Hard to say until results day!


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    (Original post by CD223)
    Easily! What about 73 in Core 3 and 65 in Core 4?


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    I reckon the grade boundaries for C3 will cap at about 70/71, so you probably have 100 in C3 and I reckon it'll be about 58 for an A in C4 so you'll have your 180 UMS average. thanks for responding!
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    (Original post by MoHoosen9167)
    I reckon the grade boundaries for C3 will cap at about 70/71, so you probably have 100 in C3 and I reckon it'll be about 58 for an A in C4 so you'll have your 180 UMS average. thanks for responding!
    Thanks! Don't know what happened to me in that core 4 paper


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    (Original post by CD223)
    I'm sure this year's boundaries will follow the trend. Hard to say until results day!


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    Yeah because I reckon the boundary this year for core 3 can't be higher than 65 since most people said was hard.And core 4 can't have a boundary higher than core 3 yeah? And I counted my marks quite harshly so in fact hopefully I can get one or two more method marks for each paper.
    And can I ask an other question? If I don't have a a* in maths would it affect my uni application? Can I re-sit next year?(heard about the reform)Planning to apply for computer science.


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    (Original post by CD223)
    UNOFFICIAL MARK SCHEME

    1.

    A) Express f(x) = (19x-2)/(5-x)(1+6x) in the form:

    f(x) = A/(5-x) + B/(1+6x):



    A=3 B=-1 (3 marks)



    B) Find Integral between x = 4 and x = 0 of f(x). Show it equals pln5.



    = 8/3ln5 (6 marks)



    2.

    A) Express 2cosx - 5sinx in the form Rcos(x+alpha), R>0, 0<alpha<pi/2

    √29cos(x+1.19) (3 Marks)



    B) Find value of x in interval 0<x<2pi where 2cosx - 5sinx is at a maximum.

    (i). x=5.09 (2 Marks)

    (ii) Solve equation 2cosx - 5sinx + 1 = 0

    x=0.567, 3.34 (3 Marks)



    3.

    A) g(x) = 8x^3 - 12x^2 - 2x + d

    Given when g(x) is divided by (2x+1) the remainder is -2, find d.

    d=1 (2 Marks)



    B) Given x = -0.5 is a solution of g(x)=0, express g(x) as 3 linear factors.

    g(x) = (2x+1)(2x-1)(2x+3) (3 marks)



    C) h(x) is given by 4x^2 - 1 / f(x). Simplify h(x), showing it is a decreasing function.



    h(x) = 1/(2x+3), h'(x) = -2(2x+3)^-2 this is always negative, therefore it is a decreasing function (4 Marks)



    4.

    A) Find the binomial expansion of (1+5x)^(1.5):

    = 1 + x - 2(x^2) (2 Marks)

    B) Expand (8 + 3x)^(-2/3)

    (i). 1/4 - (1/16)x + (5/256)x^2 (3 Marks)

    (ii) Find an estimate for Cube root of 1/81.

    0.2313 (2 Marks)



    5. x = cos2t, y = sint

    A) Find the gradient at t = pi/6.

    dy/dx= -1/2 (3 Marks)



    B) Equation of normal at t=pi/6

    y=2x-1/2 (2 Marks)



    C) Normal cuts curve at Q(cos2q, sinq). Set up a quadratic in sinq to find where the normal cuts the curve again. Then find the x co-ordinate of Q.

    cos2q = -1/8 (5 Marks)



    6. A = (3,2,10), B = (5,-2, 4)

    Line l passes through A and has equation:

    r = [3,2,10] + lambda[x,y,z]



    A) Find angle between line l and AB.

    Theta = 60 degrees (4 Marks)

    B) C(15, 6, 2) (4 Marks)

    C) E(11, 0, 0) and (23, 3, 0) (4 Marks)



    7. y^3 + 2e^(-3x)y + x = k

    Find k given point P (ln2, 0.5) lies on curve.

    A) k=1/4 - ln2 (1 Mark)

    B). Find the gradient at P:

    dy/dx = 11/8 (6 Marks)



    8. dx/dt = (4+5x)^0.5/5(1+t)^2

    A) Given t=0 when x=0 find x in terms of t.

    x=9/20-1/2(t+1)-1/20(1+t)^2

    OR

    x = 1/5[(-1/2(1+t)^-1 + 5/2)^2 - 4]



    (7 marks)



    B) Another pond models a circle of radius r. Rate of change of radius is inversely proportional to pond surface area. Write a differential equation to model this situation.

    (i) dr/dt = k/(pir^2) (3 Marks)



    (ii) The rate of change of radius is 4.5 when the radius is 1. Find the radius when the rate is 0.5.

    r=3 metres (2 Marks)



    Date: 9th June 2015

    Time: 09:00am

    Duration: 1h 30m

    Hey CD,

    I think for question 2B you rounded down? It's meant to be 0.568.


    Also, do you know how to do the last vector question (finding OE) by using magnitude, so finding length, because a lot of people did it another way?
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    (Original post by CD223)
    Thanks! Don't know what happened to me in that core 4 paper


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    Don't worry about it! it was a paper that offered many weak spots
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    Think I at least got 65/75 on c3 and 50/75 on core 4. Please tell me that's enough for a B
    I'll probably get close to 70/75 on the decision exam (fingers crossed)


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    Anybody know how many marks you lose for miscopying a question but the method (and the answer to the question you miscopied) being correct?
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    (Original post by EmilyC96)
    Think I at least got 65/75 on c3 and 50/75 on core 4. Please tell me that's enough for a B
    I'll probably get close to 70/75 on the decision exam (fingers crossed)


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    Probably an A
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    for 66/75 on c3 and around 63/75 on on c4 (that one might be an underestimate as i don't know how they're feeling with method marks), around what am i looking at??
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    (Original post by ImNormal)
    Probably an A
    Oh thank god. I just need a B for uni


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    (Original post by MoHoosen9167)
    Hi! Love the work, I'm confident on everything except the formulation of a differential equation and the final trig question (not the parametric one).

    Your +C in your differential equation solution, was that meant to be +1?
    Is it Question 8(a)?

    If so could you let me know where I've gone wrong, I have just checked it and got C=5 again - in a previous post somebody said it should be 5

    Thanks
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    (Original post by HenryC0302)
    Is it Question 8(a)?

    If so could you let me know where I've gone wrong, I have just checked it and got C=5 again - in a previous post somebody said it should be 5

    Thanks
    Name:  ImageUploadedByStudent Room1433929086.151236.jpg
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Size:  98.3 KB


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    Skkeeeeeeeeeeeeeeeee skeeeeeeeeeeeeeeeeeee
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    (Original post by HenryC0302)
    Is it Question 8(a)?

    If so could you let me know where I've gone wrong, I have just checked it and got C=5 again - in a previous post somebody said it should be 5

    Thanks
    Both 1 and 5 are correct.
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    So would 55 marks on both c3 and c4 and 67 marks on stats get me 233 ums or more??
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    Full Question Paper and Model Solutions
    Attached Images
  1. File Type: pdf QUESTION PAPER.pdf (19.4 KB, 338 views)
  2. File Type: pdf MODEL SOLUTIONS.pdf (579.2 KB, 191 views)
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    Pleaaseeee someone help!
    I got 246 ums last year, got about 69/75 for stats this year, 60/75 for core 3 and 52/75 for core 4. What grade would this get?
 
 
 
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