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Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

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    EDIT: This is for 2016! You can find the 2017 unofficial markscheme here.


    This is the completed mark scheme for the 26/05/2016 mathematics non-calculator paper.

    If there are any mistakes, please tell me.

    Reps would be appreciated, but are not necessary.
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    Question 1. What is the volume of the prism? (3 marks)

    Area of face = 30cm²
    Length of prism = 25cm.

    30cm² x 25cm = 750cm³




    Question 2a. Reflect shape in line X = -1 (2 marks)

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    Accept correct reflection.

    Question 2b. Rotate shape 90° anticlockwise. (2 marks)

    Accept correct rotation.

    Rotate at (0, 1)




    Question 3. What is wrong with the questionnaire? Give two reasons. (2 marks)
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    'Too vague (i.e. not 1-2, 3-4 etc.)' and 'no time frame (i.e. not per week, per month, etc.)' are accepted.

    Create a better survey for him to use. (2 marks)

    Why is his maths class not a good sample? (1 mark)

    'Too small' and 'may be biased' are accepted,




    Question 4. Simplify.
    P2 x P5 = P7 (1 mark)

    G6 ÷ G4 = G2 (1 mark)

    (K3)2 = K6 (1 mark)

    Expand and simplify 3(m+4) - 2(m+1) (1 mark)

    10-5m

    Factorise n2 - 7n (2 marks)

    n(n-7)




    Question 5. Estimate 892 ÷ 18.9 (2 marks)
    Round to 1 significant figure

    900 ÷ 20 = 45




    Question 6. A teacher is picked at random. 3/5 chance they are female. 36 are males. (3 marks)
    How many teachers are there altogether?

    2/5 of teachers are male. 36 are male.

    2/5 of total = 36
    2 x 18 = 36
    18 x 2 = 90.
    Answer is 90 teachers.




    Question 7. Can the floor be varnished with 3 tins of 2.5 litre varnish and it is 5 m2 per litre. (5 marks)
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    2.5 m x 6 m = 15 m2
    2.5 m x 6 m = 15cm2


    10 m - (2.5 m - 2.5 m) = 5 m
    6 m - 2 m = 4 m

    5 m x 4 m = 20 m2

    15 m2 + 15 m2 + 20 m2 = 50 m2

    5 m2 per litre, 50 m2 ÷ 5 m2 = 10 litres

    2.5 litres per tin, 3 tins, 3 x 2.5 = 7.5 litres.

    Not enough, 7.5 litres is less than 10 litres.

    Answer is 'not enough' with evidence.




    Question 8. Spinner, spins 300 times. (3 marks)

    Answer is 60.




    Question 9. 5 envelopes in small, 20 in large. What is total? (3 marks)

    T = 5x + 20y



    Question 10. Point is the midpoint. Where is the other end? (2 marks)

    Answer is (-3, -2)




    Question 11. How many females visited the art gallery? (4 marks)
    66 students went on the trip.
    Males - Bowling - 4
    Females - Bowling - 6
    Total - Bowling - 10

    Males - Art Gallery - 9
    Females - Art Gallery - 11
    Total - Art Gallery - 20

    Males - Skating - 10
    Females - Skating - 26
    Total - Skating - 36

    Males - Total - 23
    Females - Total - 43
    People - Total - 66


    Answer is 11 females.





    Question 12. (3 marks)
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    Area of square = 10cm x 10cm = 100 cm²
    Area of circle = π5² = 25π cm²

    Area of shaded = Area of square - Area of circle = 100 cm² - 25π cm² = 100 - 25π cm²





    Question 13. What percent of his total spending is his rent now? (3 marks)
    Answer is 36%.




    Question 14. Bisector of an angle (2 marks)
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    Correct perpendicular bisector of line (2 marks)
    Attachment 538961




    Question 15.

    Compare median, interquartile range and range. (3 marks)


    200 x 25% = 50
    200 - 50 = 150

    Last part, answer was 150. (2 marks)




    Question 16. (3.5 x 106) ÷ (5 x 10-3) (2 marks)

    7x108




    Question 17a. Solve 3x - 5 < 16 (2 marks)

    x < 7

    Question 17b. Solve (11-w) ÷ 4 = 1 + w (3 marks)
    w = 7 ÷ 5




    Question 18.

    2 4/5 (3 marks)

    4/5 (3 marks)





    Question 19.

    x = -0.4 or x = 4.4
    x = -1.1 or x = 5.1 (3 marks)
    x = -1.7 or x = 4.7 (3 marks)




    Question 20. What is the angle? (5 marks)
    Angles in a triangle add up to 180°, base angles in an isosceles are equal.
    180° - 48° - 48° = 84°

    Angle at centre is twice angle at circumference.
    84° ÷ 2 = 42°

    Angles in a triangle add up to 180°, base angles in an isosceles are equal.
    (180° - 42°) ÷ 2 = 69°

    Answer is 69°.




    Question 21. What is the chance of the match being cancelled when it does not rain? (5 marks)
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    0.8 x 0.05

    Answer is 0.04.




    Question 22. Solve X² = 4(X-3)² (3 marks)

    X² = 4[(X - 3)(X - 3)]

    X² = 4[X² - 3X - 3X+ 9]

    X² = 4[X² - 6X + 9]

    X² = 4X² - 24X + 36

    0 = 4X² - X² - 24X + 36

    0 = 3X² - 24X + 36

    0 = 3[X² - 8x + 12]

    0 = 3[(X - 6)(X - 2)]

    X = 6 or X = 2




    Question 23. (6 marks)
    a + b

    -a + 3b

    ¾(a+b)

    Point S is on both lines and is the point at which the lines intersect.




    Question 24. (4 marks)
    Table - 100, 25, 4


    Question 25. (3 marks)
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    (3-√6) ÷ 12





    Worked solutions: http://mrkibria.weebly.com/uploads/7..._mr_kibria.pdf
    Attached Images
     
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    If anyone is struggling with a question, tell me the details of the question and I'll provide an answer for you to stop ye debating (hopefully)


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    last question
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    I'd be excited to know about the surds question so I can give an answer


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    I've got a question for foundation paper
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    (Original post by Husna. A)
    I've got a question for foundation paper
    I'll create a foundation one here too.
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    something to do with root 6, 12 and root 4.:c
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    I got 750cm3 for the first one


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    Solving simultaneous equations graphically
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    (Original post by erodedsoul)
    I got 750cm3 for the first one


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    That was correct.
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    (Original post by mariyahx)
    last question

    That was a tricky one, everyone at school seems to have different answers:
    Mine being (2 - root 6)/12.
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    (Original post by LogicalFallacy)
    That was correct.
    Welp I was wrong about that question....
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    The question on Circle Theorem's was 69 degrees.
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    69*
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    (Original post by ewales)
    The question on Circle Theorem's was 69 degrees.
    Definitely?
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    I got 3.8 and 2.2 for the simultaneous equation



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    I got 72 for circle there on I think


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    90 teachers
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    (Original post by Akila1)
    90 teachers
    This was correct.
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    *thereom


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