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# Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

1. (Original post by magicstars1233)
the circle theroms one was 90 degrees definatley
You needed to subtract 21 from 90. Therefore, answer is 69 degrees.

Alternatively it was (ironically) alternate segment theorem = 69.
2. Thanks for the marksheme. Do you know the grade boundaries for June 2016? If you do know please can you send as quick as possible.
3. Sorry, how can you be predicted 'A' and score just 51? I scored 49-53 and me 'C'-'B' prediction.
Did you have really bad day?

I would imagine you mist do 100% on the calculator one to get 'A'x
QUOTE=SlippyG08;65228901]Someone plzzz help me!!! Im predicted an A but looking at this paper i've only got 51 marks. How many marks do i have to get in the calculator paper just to get an A overall?[/QUOTE]
4. (Original post by 11NSHERIN)
Thanks for the marksheme. Do you know the grade boundaries for June 2016? If you do know please can you send as quick as possible.
No-one knows, not even the examination board !!
5. (Original post by DrPeter)
No-one knows, not even the examination board !!
But would it be similar to the June 2015 or go up?
6. (Original post by 11NSHERIN)
But would it be similar to the June 2015 or go up?
Take an average (mean) of all the grade boundaries so far.
7. im retarded i thought that 0.8 * 0.05 was 0.400. because i added a 0 to make 0.80 as it was 80%. i dont get how the answer is 0.04
8. (Original post by 11NSHERIN)
But would it be similar to the June 2015 or go up?
This paper was, in my opinion, easier than the corresponding paper last year. Based on this, the Boundary will be higher than 125, but the calculator paper may be more difficult than last years, so it is all speculation. I am expecting a tough(er) Calculator Paper than the Non-Calculator paper. Remember - this is only an opinion and different people will have different ideas.

You should only have one aim and that is to get (or get as close as you can to) 100% in the next paper !!

Good luck
9. (Original post by ahhaah)
im retarded i thought that 0.8 * 0.05 was 0.400. because i added a 0 to make 0.80 as it was 80%. i dont get how the answer is 0.04
Half (0.5) of 0.8 = 0.4
0.05 of 0.8 = 0.04
10. Do you have the marking scheme for foundation?
(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

(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

(Original post by Husna. A)
I've got a question for foundation paper
(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

11. For the circle one I got 100-25pi and then simplified it to 4-pi (I did write 100-25pi in the answer box with it: how many marks will I get)

Also on the one with the fractions I did it wrote but didn't write it as a mixed number: how many marks will I get?
Also, on the last question I wrote1/4-root6/12 (how many marks will I get?
Thanks for making this by the way
12. For the circle one I got 100-25pi and then simplified it to 4-pi (I did write 100-25pi in the answer box with it: how many marks will I get)

Also on the one with the fractions I did it wrote but didn't write it as a mixed number: how many marks will I get?
Also, on the last question I wrote1/4-root6/12 (how many marks will I get?
13. (Original post by 11NSHERIN)
Thanks for the marksheme. Do you know the grade boundaries for June 2016? If you do know please can you send as quick as possible.
no one knows the grade boundaries until all the papers have been marked because the boundaries are adjusted according to how well people did, on both papers...we haven't even done one of the papers yet
14. (Original post by Joemill5000)
For the circle one I got 100-25pi and then simplified it to 4-pi (I did write 100-25pi in the answer box with it: how many marks will I get)

Also on the one with the fractions I did it wrote but didn't write it as a mixed number: how many marks will I get?
Also, on the last question I wrote1/4-root6/12 (how many marks will I get?
I did the same for the circle one! But everyone else seems to think 100-25Pi is right. Im confused as i thought it said simplify as low as possible which surely would be 4-Pi right ?
15. On this paper i think i got 76 ( i made alot of silly mistakes) so how much fo you think ill need on the next paper fir an A*
16. (Original post by Mayfate)
I did the same for the circle one! But everyone else seems to think 100-25Pi is right. Im confused as i thought it said simplify as low as possible which surely would be 4-Pi right ?

100 - 25 x 3.14 = 21.5

This is not the same as 4 - 3.14 !!
17. On this paper i think i got 76 ( i made alot of silly mistakes) so how much fo you think i'll need on the next paper for an A*
18. (Original post by Mayfate)
I did the same for the circle one! But everyone else seems to think 100-25Pi is right. Im confused as i thought it said simplify as low as possible which surely would be 4-Pi right ?
You'd need to have factored out 25, so it was 25(4-pi), otherwise you won't get the same answer.
19. (Original post by Joemill5000)
For the circle one I got 100-25pi and then simplified it to 4-pi (I did write 100-25pi in the answer box with it: how many marks will I get)

Also on the one with the fractions I did it wrote but didn't write it as a mixed number: how many marks will I get?
Also, on the last question I wrote1/4-root6/12 (how many marks will I get?
You probably get 2/3 for it. I think you might drop the last mark since you didn't put the answer in it's final form.

1/4-√6/12 == Big triangle - small triangle

Where as 3-√6/12 is the area of the shaded part.
20. (Original post by 34908seikj)
You'd need to have factored out 25, so it was 25(4-pi), otherwise you won't get the same answer.
On this paper i think i got 76 ( i made alot of silly mistakes) so how much fo you think i'll need on the next paper for an A*

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