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# Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

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1. What were questions 8, 9 and 12? I've forgotten already
2. (Original post by tamanna___)
1/4 -6√6/12
This is incorrect

it was (3-√6)/12
3. Is it possible to get a proper list of marks with the questions?
4. (Original post by HateOCR)
My estimate of this years non-calc grade based on past paper difficulty and grade boundaries:
A* - 84
A - 72
B - 63
C - 48
D - 40
It is never been that high for a grade c; usually around 25/30
5. (Original post by 34908seikj)
You'll get 2/3
Thanks, and apparently the pi question for the surface area was 25(4-π), if I put 100-25π, will I be losing 1 mark there as well?
6. Wht does everyone think the grade boundaries will be? My guess is:
A* - 83
A - 66
B - 47
C - 26
7. I got 78 for the circle theorem only if i could divide properly -
8. (Original post by LogicalFallacy)
Hey, if anybody is willing to contribute the answers, and preferably the questions, then I shall set up a mark scheme for you all. Thanks in advance!

Can people please attach question numbers to their answers? Method would be appreciated.

This will be updated as I go along.
Spoiler:
Show
Question 1. What is the volume of the prism? (2 marks)

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

30cm² x 25cm = 750cm³

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

Accept correct reflection.

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

Accept correct rotation.

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. (all of question 4, 6 marks)
P2 x P5 = P7

G6 ÷ G4 = G2

(K3)2 = K6

10-5m

Factorise n2 - 7nn(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(?). Point is the midpoint. Where is the other end?

Question 10(?). 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 11(?). What percent of his total spending is his rent now?

Question 13(?). How many females visited the art gallery?
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 14(?).
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 15(?).

Compare median, interquartile range and range.

200 x 25% = 50
200 - 50 = 150

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

7x108

Question 17(?).

x = -0.4 or x = 4.4
x = -1.1 or x = 5.1
x = -1.7 or x = 4.7

Question 18(?).
7/5

2 4/5

4/5

Question 19(?).
x < 7

Question 20(?). Solve X² = 4(X-3)²
X² = 4[(X - 3)(X - 3)]
X² = 4[X² - 3X - 3X+ 9]
X² = 4[X² - 6X + 9]

X² = 4X² - 24X + 360 = 4X² - X² - 24X + 360 = 3X² - 24X + 360 = 3[X² - 8x + 12]0 = 3[(X - 6)(X - 2)]

X = 6 or X = +-2

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

Question 22(?). What is the angle?

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 23(?).
a + b

-a + 3b

¾(a+b)

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

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

Question 25.
Attachment 538759

(3-√6) ÷ 12
Hi, u know for the maths class question I said it's not representative of the whole population, would u still get the mark? And also I think u missed out the spinner question, the one where the guy spun it 300times, I said the answer is 60.
9. (Original post by kat2905)
It is never been that high for a grade c; usually around 25/30
easy paper though, lots of low grade math imo
10. (Original post by Macauley Ware)
Every exam i have had i have not properly finished or done that well and so i think I've obviously missed by target grade but still getting a B or an A, but this one was a flat out fail. I was being bigged up by everyone for being the brainy one, now i am going to be about 3rd or 5th in the school league table and end up as a Shop manager or something. (Not being offensive to shop managers but it is a bit short of my expected career or Chartered engineer etc).
Ive fudged my GCSEs up, you hear about it, but you never think it could be you.
Well i feel dissapointed by myself today - hopefully we can both do good next paper. I feel like my mind was blocked during that exam, i couldnt even multiply without doubting myself. And yeah i think that having a smart reputation probably led u to be overconfident or "jinxed" by some people
11. (Original post by Lakshii)
how many marks was the last question ?
3 marks i think
12. What where last years grade boundaries overall
13. What were the anwsers for the mized fractions? I got 2 12/15 and 12/15
14. I got pictures of the paper. I stole one from a empty desk lol.
15. (Original post by babymarima)
Thanks, and apparently the pi question for the surface area was 25(4-π), if I put 100-25π, will I be losing 1 mark there as well?
I don't know, I believe it asked for the answer in it's simplest form, therefore 25(4-pi) would be the only correct answer.
16. What was the answer for the envelope question?
17. (Original post by kat2905)
It is never been that high for a grade c; usually around 25/30
Updated predictions:
A* - 84
A - 71
B - 62
C - 46
D - 33
18. (Original post by 34908seikj)
Attachment 538875Is this what you're talking about, this question?
Ignore that question.

For last question, Do i get a mark for doing this:

ROUTE 2/2 X ROUTE 3/3 = ROUTE 6/6?
19. (Original post by Rebqqq)
What where last years grade boundaries overall
They were pretty low, as the papers was quite hard.
20. (Original post by LogicalFallacy)
Hey, if anybody is willing to contribute the answers, and preferably the questions, then I shall set up a mark scheme for you all. Thanks in advance!

Can people please attach question numbers to their answers? Method would be appreciated.

This will be updated as I go along.
Spoiler:
Show
Question 1. What is the volume of the prism? (2 marks)

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

30cm² x 25cm = 750cm³

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

Accept correct reflection.

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

Accept correct rotation.

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. (all of question 4, 6 marks)
P2 x P5 = P7

G6 ÷ G4 = G2

(K3)2 = K6

10-5m

Factorise n2 - 7nn(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(?). Point is the midpoint. Where is the other end?

Question 10(?). 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 11(?). What percent of his total spending is his rent now?

Question 13(?). How many females visited the art gallery?
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 14(?).
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 15(?).

Compare median, interquartile range and range.

200 x 25% = 50
200 - 50 = 150

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

7x108

Question 17(?).

x = -0.4 or x = 4.4
x = -1.1 or x = 5.1
x = -1.7 or x = 4.7

Question 18(?).
7/5

2 4/5

4/5

Question 19(?).
x < 7

Question 20(?). Solve X² = 4(X-3)²
X² = 4[(X - 3)(X - 3)]
X² = 4[X² - 3X - 3X+ 9]
X² = 4[X² - 6X + 9]

X² = 4X² - 24X + 360 = 4X² - X² - 24X + 360 = 3X² - 24X + 360 = 3[X² - 8x + 12]0 = 3[(X - 6)(X - 2)]

X = 6 or X = +-2

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

Question 22(?). What is the angle?

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 23(?).
a + b

-a + 3b

¾(a+b)

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

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

Question 25.
Attachment 538759

(3-√6) ÷ 12
3 marks for q1 I think

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