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# Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

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1. Someone please tell me what grade would 67-78 marks be and what would i need for atleast an A, i counted 67marks for the actual answers excluding marks for working out, the mark for working out is 78, thanks x
2. (Original post by ZakAli7)
Why is question 13 36% instead of 50%

30% of 800= 240+20%of 800=160
240+160=400
400 is 50% of 800
you had to find 30% of 800 which was 240
then because it was 20% rise, his new rent is 120% → 240 * 120% = 288
so it was 288/800 which cancelled down to 36/100 = 36%
3. How did you get the paper to answer the questions?
4. (Original post by gy7gy7gy7)
How did you get the paper to answer the questions?
5. We're can I find the foundation AQA maths

7. (Original post by Midnight1811)
if I got 40 on here, what would I need to get on paper 2 to get a B?
Around 59
8. (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.
Spoiler:
Show
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

For the questionnaire questions do you think they would accept that 'sometimes' and 'often' aren't good words to use because people may have a different idea of what these mean. And then for the last part of the question would they accept the fact that the people in the sample would all be the same age which is is biased.
9. The area of shaded region in |~|( pie) form:-
I did that right upto 100-25|~| but then I subtract 100 from 25 and wrote 75|~| (pie) so how many marks can i get. It carry 3 marks
10. (Original post by Bilal1234567)
We're can I find the foundation AQA maths
not here this is for edexcel.... search it and someone might've started a thread about it
11. (Original post by archiiii)
The area of shaded region in |~|( pie) form:-
I did that right upto 100-25|~| but then I subtract 100 from 25 and wrote 75|~| (pie) so how many marks can i get. It carry 3 marks
1/3 possibly 2/3
12. (Original post by mariyahx)
last question
The last question was terrible
13. for the maths class question, i put 'there isnt enough people' would that get the mark?
14. (Original post by zara_ruby)
For the questionnaire questions do you think they would accept that 'sometimes' and 'often' aren't good words to use because people may have a different idea of what these mean. And then for the last part of the question would they accept the fact that the people in the sample would all be the same age which is is biased.
For questionare question i wrote that he should ask random students and in other classes as well. Would the accept that?
15. (Original post by archiiii)
For questionare question i wrote that he should ask random students and in other classes as well. Would the accept that?
no since even then that would not represent the general populous.
16. (Original post by iMacJack)
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)

Posted from TSR Mobile
for the question about why the guy shouldn't ask his maths class about how many crisps they should eat, i answered 'they are all the same age' would that get the mark?
17. (Original post by george1111111)
for the maths class question, i put 'there isnt enough people' would that get the mark?
Yeah I would think so because you are referring to sample size
18. For question 12 (the one about a circle inside a square) the answer is 100 - 25π but I simplified it (wrongly, I think) to 20 - 5π. Would i get the marks for this?
19. (Original post by Husna. A)
I've got a question for foundation paper
20. (Original post by bulbs)
For question 12 (the one about a circle inside a square) the answer is 100 - 25π but I simplified it (wrongly, I think) to 20 - 5π. Would i get the marks for this?
It depends how you wrote it, 5(20-5pi) would be correct, 20-5pi is not correct.

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