Join TSR now and get all your revision questions answeredSign up now

2017 AQA Level 2 Further Maths Paper 2 Unofficial Mark Scheme Watch

  • View Poll Results: How many marks do you think you got?
    0-30
    6
    3.33%
    31-50
    11
    6.11%
    51-60
    17
    9.44%
    61-70
    16
    8.89%
    71-80
    25
    13.89%
    81-90
    29
    16.11%
    91-100
    54
    30.00%
    101-105
    22
    12.22%

    • Thread Starter
    Offline

    2
    ReputationRep:
    1a. 30 (and -30 is probably allowed) Marks=3?
    b. -1.5 Marks=?

    2a. \begin{pmatrix} -13 & 2 \\ 6 & 1 \end{pmatrix} Marks=?
    b.  \frac{11}{8} Marks=?
    c. Because the number of columns of B does not equal the number of rows of A Marks=1

    3a. Since 1365 = 3*5*7*13 , choose any two factors, multiply those together, and write the other two factors: e.g 3, 5, 91 Marks=?
    b. Factorised, ab-11b = b(a-11) so b is an arbitrary square e.g 4, and a=36 Marks=?

    4.  2744 Marks=?

    5. \frac{4}{5} Marks=?

    6. 12.31 Marks=?

    7. 16 Marks=?

    8. 106.1 Marks=?

    9. x=-2 Marks=? www.desmos.com/calculator/um4a23ffwt .
    Otherwise it is clear that  \{-2, -1, 0, 1\} \cap \{-2, -3, -4, ...\} = \{-2\} , the first two sets being the integer solutions to the two inequalities

    10. 15.2 Marks=?

    11a. Draw the thing. Marks=?
    11b.  -5 <= f(x) <= 7 Marks=?

    12a. 3(5-x)(5+x) Marks=?
    b. 12n Marks=?

    13. \frac{50a^2}{3} Marks=5?

    14. a=4, b=10 Marks=?

    15. y=\frac{8x}{w+1} Marks=3?

    16a. 3^{-2b} Marks=1
    b. 5^{x+2} Marks=1
    c. 2^{3m} Marks=1

    17a. (4, -25) Marks=?
    c. The roots are x=5.79 and x=1.21 Marks=?
    18. \frac{32y^2}{5} Marks=?

    19a. k. Marks=1 Think of 19a. and 19b. as transformations: https://www.desmos.com/calculator/4kphkki8vl
    b. -k Marks=1
    c.  \sqrt{1-k^2}. This is rearranging of  \sin^2 x + \cos^2 x = 1 with  \sin^2 x = k^2 Marks=2

    20a. Angle at circumference is half angle at centre Marks=1
    b. e.g Angle in triangle 90-x
    Angle on straight line 90+x
    Opposite angle in cyclic quadrilateral 90-x
    Other base angle 90-x
    Other angle in triangle 180-2(90-x) = 2x, QED Marks=5?
    There are obviously many other ways to do this. I think we all know if we got or did not get marks on this question

    21a. (0, 8) Marks=?
    b. -2x+2 Marks=?
    c. Normal equation y= \frac{-1}{2}x + 8
    So intersects x-axis at (16, 0)
    The rest is easy (show one length is twice the other) Marks=?

    22.  (-6/5, -7/5) and (2, 5) were the pairs of solutions Marks=?

    23. -1 is the constant, because

     \frac{1}{\tan^2 x} - \frac{1}{\sin^2 x}

     = \frac{1}{(\frac{\sin x}{\cos x})^2} - \frac{1}{\sin^2 x}

     = \frac{1}{\frac{\sin^2 x}{\cos^2 x}} - \frac{1}{\sin^2 x}

     = \frac{\cos^2 x}{\sin^2 x} - \frac{1}{\sin^2 x}

     = \frac{\cos^2 x - 1}{\sin^2 x}

     = \frac{- (-\cos^2 x + 1)}{\sin^2 x}

     = \frac{- \sin^2 x}{\sin^2 x}

     = -1 Marks=4?

    24. 3(2x-5)^2 - 70 Marks=5
    Offline

    2
    ReputationRep:
    (Original post by etothepiiplusone)
    1a. 30
    b. -1.5
    2a. 13 -2
    6 1
    b. 11/8
    c. Because number of columns of B does not equal rows of A
    3a. e.g 3, 5, 91
    b. Factorised ab-11b = b(a-11) so b is arbitrary square e.g 4, a=36
    4. 2744
    5. 4/5
    6. 12.31
    7. 16
    8. 106.7
    9. x=-2
    10. 15.2
    11b. -5 <= f(x) <= 7
    12a. 3(5-x)(5+x)
    b. 12n
    13. 50a^2 / 3
    14. a=4, b=10
    15. y=(8x)/(w+1)
    16a.3^(-2b)
    b. 5^(x+2)
    c. 2^(3m)
    17a. (4, -25)
    c. 5.79 and 1.21
    18. (32/5) y^2
    19a.k
    b. -k
    c. sqrt(1-k^2)
    20a. Angle at circumference is half angle at centre
    b. e.g Angle in triangle 90-x
    Angle on straight line 90+x
    Opposite angle in cyclic quadrilateral 90-x
    Other base angle 90-x
    Other angle in triangle 180-2(90-x) = 2x QED
    21a. (0, 8)
    b. -2x+2
    c. Normal equation y=-1/2 x + 8
    So intersects at (16, 0)
    2*6 = 16-4
    22. (-6/5, -7/5) and (2, 5)
    23. -1
    24. 3(2x-5)^2 - 70
    "Because number of columns of B does not equal rows of A"... Wut?
    Offline

    1
    ReputationRep:
    How did you do the cos a question that was worth 2 marks
    Offline

    1
    ReputationRep:
    How much do you think 148 would be
    Offline

    3
    ReputationRep:
    (Original post by Shanpatel2000)
    How much do you think 148 would be
    Probably an A^, but at least an A*.
    Offline

    0
    ReputationRep:
    (Original post by Frankiitch)
    How did you do the cos a question that was worth 2 marks
    Square it so cos^2(a)= 1-sin^2(a)
    Sina=k so Sin^2(a)=k^2
    Thus cos^2(a)=1-k^2
    Square Root it so cosa= root(1-k^2)
    Offline

    3
    ReputationRep:
    Because number of columns of B does not equal rows of A

    ^ For this question I put there are fewer columns in B than A. Mark or no mark?
    Offline

    1
    ReputationRep:
    Q1 difference between 20th and 8th terms = 20th term - 8th term = -30?
    Offline

    1
    ReputationRep:
    (Original post by _gcx)
    Probably an A^, but at least an A*.
    Hoping for A^; thanks
    Offline

    2
    ReputationRep:
    (Original post by LUSer21)
    Q1 difference between 20th and 8th terms = 20th term - 8th term = -30?
    Yeah but the values of the 20th term nd the 8th term were both negative numbers so you don't need to write -30 as a difference, just 30 is correct
    Offline

    2
    ReputationRep:
    Can someone describe question 9 and 10 for me since I forgot?
    Offline

    2
    ReputationRep:
    I got around 87 in this and 55 in the other.... is this an A*
    Offline

    1
    ReputationRep:
    (Original post by Mermaidqueen)
    Yeah but the values of the 20th term nd the 8th term were both negative numbers so you don't need to write -30 as a difference, just 30 is correct
    Will I still get the mark if I write -30?
    Offline

    2
    ReputationRep:
    What was the answer for the question where you had to work out the area of OAB i got 24 but I don't see it in the ms
    Offline

    2
    ReputationRep:
    (Original post by LUSer21)
    Will I still get the mark if I write -30?
    Im not sure, i don't remember how many marks it was but if it was out of 2 marks
    you'd probably get one mark for calculating -30 and the second for writing 30
    Offline

    0
    ReputationRep:
    (Original post by Oliver_2001)
    What was the answer for the question where you had to work out the area of OAB i got 24 but I don't see it in the ms
    It was the area of OPB (which was 16) not OAB
    Offline

    2
    ReputationRep:
    (Original post by Oliver_2001)
    What was the answer for the question where you had to work out the area of OAB i got 24 but I don't see it in the ms
    What did u do for it? I don't remember my answer but what i did was:
    calculate the coordinates of A and B, then found the distance AB
    then i did 2/5 multiple by distance AB bc the ratio was 2;3 and the length we needed for the little triangle was the 2 part.
    Anyways so i did 2/5 (distance AB) multiplied by 8 then divide by 2
    Offline

    1
    ReputationRep:
    (Original post by Mermaidqueen)
    Im not sure, i don't remember how many marks it was but if it was out of 2 marks
    you'd probably get one mark for calculating -30 and the second for writing 30
    Idk, but I think the first mark is going to be substituting 20 and 9 into the nth term and the second mark is going to be the answer. So I think -30 will be in the accept column.
    Offline

    1
    ReputationRep:
    Could you put the marks in please?
    Offline

    1
    ReputationRep:
    what was the first question again?
 
 
 
Poll
How are you feeling about GCSE Results Day?

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.