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# Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

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1. (Original post by LogicalFallacy)
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)

Attachment 538919

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)
Attachment 538813
'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.

Question 7. Can the floor be varnished with 3 tins of 2.5 litre varnish and it is 5 m2 per litre. (5 marks)
Attachment 538829

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)

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)

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

Question 12. (3 marks)
Attachment 538769
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)

Question 14. Bisector of an angle (2 marks)
Attachment 538913

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°

Question 21. What is the chance of the match being cancelled when it does not rain? (5 marks)
Attachment 538811
0.8 x 0.05

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)
Attachment 538759

(3-√6) ÷ 12

Do you have the solutions to paper 2 please?
2. Also what would the grade boundaries be like? Low like 164 for A star or higher?

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3. (Original post by warmmuffin)
How did you gues get 3 for the trolley question???
I got that the cross sectional area was 76cm^2, then I multiplied it 120 to get the volume. Got 9120.
So 8= mass/9120
Did 8 x 9120 then got some long ass answer and then divided by max. trolley weight limit and got near 0😂 Where did I go wrong?
Convert the long answer to kg I think

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4. (Original post by Alex.trin)
Yeah I'm sure I did. It was 36 miles both ways so 180 miles in total
yeah i accidentally worked out 7 days. but some people do work 7 days a week, so maybe they will have to answers lol
5. (Original post by The1AndOnly1)
Also what would the grade boundaries be like? Low like 164 for A star or higher?

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I think about 165 for an A* I found the papers quite easy so... think I got about 170 marks minimum
6. (Original post by Azzam240)
would i get method marks?? if so, how many?
It was sine
7. (Original post by The1AndOnly1)
Also what would the grade boundaries be like? Low like 164 for A star or higher?

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I think 135 for A, 165 for A*
8. (Original post by Azzam240)
yeah i accidentally worked out 7 days. but some people do work 7 days a week, so maybe they will have to answers lol
They said 5 days specifically
9. (Original post by erodedsoul)
It was 4, I suspect you'll get 3 marks anyway though

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So did you have to do it 36 miles a day he travelled or what?

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10. (Original post by Azzam240)
yeah i accidentally worked out 7 days. but some people do work 7 days a week, so maybe they will have to answers lol
I think the question specified that he worked 5 days a week, but you would get some method marks.
11. I've failed paper 2 massively, like I actually have failed.
How many marks for a C???
12. (Original post by Azzam240)
would i get method marks?? if so, how many?
I'm not too sure out of how many marks the question was out of, 4? If so then if you done Pythagoras right then you could possibly get 2/4 if it was out of 4.
13. WILL THE GRADE BOUNDARIES GO HIGHER OR LOWER???????? REALLY NEED TO KNOW!

Considering the first paper was quite hard will they go down?
14. (Original post by mxskaan)
Convert the long answer to kg I think

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Yep that's where I went wrong😭😭😭 just did it now, got 3
15. what if you guessed 80 for the last question. would you still get marks
16. (Original post by 11masanda002)
WILL THE GRADE BOUNDARIES GO HIGHER OR LOWER???????? REALLY NEED TO KNOW!

Considering the first paper was quite hard will they go down?
I found the first test as easy as the second, both were, we don't know what the grade boundaries will be but at a guess it will be 165 for an A* and 135 for an A.
17. (Original post by 11masanda002)
WILL THE GRADE BOUNDARIES GO HIGHER OR LOWER???????? REALLY NEED TO KNOW!

Considering the first paper was quite hard will they go down?
I imagine somewhere in the middles. I'd say 130 for an A, 160 for an A*.

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18. (Original post by rj23)
what if you guessed 80 for the last question. would you still get marks
Nope

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19. (Original post by rj23)
what if you guessed 80 for the last question. would you still get marks
there might be some allowance but you will be lucky if so... if you have some working out you should get some marks
20. (Original post by The1AndOnly1)
Also what would the grade boundaries be like? Low like 164 for A star or higher?

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155 is low for an A*, 164 is high.

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