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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.
Spoiler:
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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

Q4 and Q9 i think can be simplified even further and i believe maybe Q23 is wrong
2. (Original post by Rebqqq)
Everyone is talking about how they have just lost there A*
I literally got 38 in the paper I have just lost my c grade 😂🔫
Not necessary!!! We don't know it for sure yet!
3. (Original post by Samantha2009)
Hi the paper was sat today but our examiner today told us some kids are doing it tommorow and that we shouldn't put answer on student room until Saturday so u guys have given all the answers now the grade will go high
This is incorrect if you don't do the exam today, you get given a similar, but different exam to do tomorrow, according to edexcel.
4. Help! What would 70-80/100 be?

Posted from TSR Mobile
5. Oh my word. I did the Foundation Tier. I think I failed miserably...
6. If i got like 62/63 marks on first paper am I on track for a B grade?
7. (Original post by Kings20221)
Q4 and Q9 i think can be simplified even further and i believe maybe Q23 is wrong
Q4 can't be simplified further, Q23 is right and Q9 can be wrote as t=5(x+4y)
8. (Original post by samm98)
The first question for the volume of a prison I'm sure was 3 marks not 2? Easiest 2/3 marks ever!
I was thinking the same!
9. (Original post by Samantha2009)
Hi the paper was sat today but our examiner today told us some kids are doing it tommorow and that we shouldn't put answer on student room until Saturday so u guys have given all the answers now the grade will go high
it's a bit silly of edexcel to re-use the paper from today...
10. (Original post by Mathsgcseexam)
no, standard form has to be numbers from 1-9. 0.7x10^9 isn't in standard form
damn yeah i just saw on bitesize well isn't it funny how I revised standard form yesterday but get it wrong!
11. anyone remember what question 18 was?
12. (Original post by junayd1998)
If i got like 62/63 marks on first paper am I on track for a B grade?
last year it was 95 across both papers to get a b so if you achieve around 60 again on the calculator, you're looking at a high b/low a
13. (Original post by ZUIT00ZUIT)
i want to die
lol same
14. (Original post by Afsanax)
last year it was 95 across both papers to get a b so if you achieve around 60 again on the calculator, you're looking at a high b/low a
ight thats gucci
15. Can anyone explain the vector question part c? I remember I wrote that the point S split the midpoint of PT and OR in the ratio 1:3(and then proved it) . Will I get full marks for that question since it's the only one I doubt and I got the rest correct.
16. (Original post by Mahrez)
actuall A is between 120-130
So if I get 55 on the first paper I should be safe with getting 80 on the second for an a ?? I'm usually better on calculator papers anyway. I thought it was a bit high what I was told as it is never higher than 70 on each paper for an a looking at the past 5 years grade boundaries
17. This is exactly the same for me. I did terribly and burst into tears half way through
18. (Original post by Azarhuntttt)
So if I get 55 on the first paper I should be safe with getting 80 on the second for an a ?? I'm usually better on calculator papers anyway. I thought it was a bit high what I was told as it is never higher than 70 on each paper for an a looking at the past 5 years grade boundaries
you never know
19. is 85/100 an a*?
20. what are the grade boundary predictions?

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