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# Edexcel C3 June 2016 - Unofficial Mark Scheme

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1. I'm not 100% sure on all of these, but I think most are correct.
Question 1
Spoiler:
Show
A. -5, 6
B. 6
Question 2
Spoiler:
Show
A. (20-4x^2)/(x^2+5)^2
B. >sqrt(5), <-sqrt(5)
Question 3
Spoiler:
Show
A. R= sqrt(5)
a= 26.57°
B. 33.0°, 273.9°
C. 86.1°
Question 4
Spoiler:
Show
Ai. 21
ii. ln(2.5)
iii. 25
B. Show that question
C. 1.4368, 1.4373
D. Show the root was in [1.4365, 1.4375]
Question 5
Spoiler:
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i. 0.9463
ii. 0.5cosec(4Y)
Question 6
Spoiler:
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A. A=3, B=4
B. Normal eqn. -0.5x + 17.5
Question 7
Spoiler:
Show
A. graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)
B. -1-0.5sqrt(3)
Question 8
Spoiler:
Show
A. Trig proof
B. -2.848, -1.277, 0.294, 1.865
Question 9
Spoiler:
Show
A. 6.740 - dose after 4 hours
B. show that dose equalled a value after 7 hours
C. 5ln(2 + 2e^-1)
A = 5, B = 2
PDF with full worked solutions : http://www.thestudentroom.co.uk/atta...7&d=1466526735
3c:
2. For 5i what did people do with the sin and cos?
3. if you don't mind would you be able to do your working out if at all possible? 🙈
4. i agree however i dont know about 7 part b, i cant really remember the question but i believe i left it in terms of sin but your answer looks more complete
5. What was question 6 again please?
6. (Original post by veldt127)
I'm not 100% sure on all of these, but I think most are correct.

1.
A -5, 6
B 6

2.
A (20-4x^2)/(x^2+5)^2 Might not be simplest form
B >sqrt(5), <-sqrt(5)

3.
A R= sqrt(5)
a= 26.57°
B 33.0°, 273.9°
C 86.1°

4.
Ai 21
ii ln(2.5)
iii 25
B Show that question
C 1.4368, 1.4373
D Show the root was in [1.4365, 1.4375]

5.
i 0.9463
ii 0.5cosec(4Y)

6.
A A=3, B=4
B Normal eqn. -0.5x + 17.5

7.
A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)
B -1-0.5sqrt(3)

8.
A Trig proof
B -2.848, -1.277, 0.294, 1.865

9.
A 6.740 - dose after 4 hours
B show that dose equalled a value after 7 hours
C 5ln(2 + 2e^-1)
A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.
Im sure only the middle two values were allowed for 8B
7. (Original post by particlestudent)
Im sure only the middle two values were allowed for 8B
wasn't it between pi and -pi? or was it pi/2?
8. (Original post by veldt127)
I'm not 100% sure on all of these, but I think most are correct.

1.
A -5, 6
B 6

2.
A (20-4x^2)/(x^2+5)^2 Might not be simplest form
B >sqrt(5), <-sqrt(5)

3.
A R= sqrt(5)
a= 26.57°
B 33.0°, 273.9°
C 86.1°

4.
Ai 21
ii ln(2.5)
iii 25
B Show that question
C 1.4368, 1.4373
D Show the root was in [1.4365, 1.4375]

5.
i 0.9463
ii 0.5cosec(4Y)

6.
A A=3, B=4
B Normal eqn. -0.5x + 17.5

7.
A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)
B -1-0.5sqrt(3)

8.
A Trig proof
B -2.848, -1.277, 0.294, 1.865

9.
A 6.740 - dose after 4 hours
B show that dose equalled a value after 7 hours
C 5ln(2 + 2e^-1)
A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.
Can't remember what I put for 3B but apart from that all the same
9. (Original post by veldt127)
I'm not 100% sure on all of these, but I think most are correct.

1.
A -5, 6
B 6

2.
A (20-4x^2)/(x^2+5)^2 Might not be simplest form
B >sqrt(5), <-sqrt(5)

3.
A R= sqrt(5)
a= 26.57°
B 33.0°, 273.9°
C 86.1°

4.
Ai 21
ii ln(2.5)
iii 25
B Show that question
C 1.4368, 1.4373
D Show the root was in [1.4365, 1.4375]

5.
i 0.9463
ii 0.5cosec(4Y)

6.
A A=3, B=4
B Normal eqn. -0.5x + 17.5

7.
A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)
B -1-0.5sqrt(3)

8.
A Trig proof
B -2.848, -1.277, 0.294, 1.865

9.
A 6.740 - dose after 4 hours
B show that dose equalled a value after 7 hours
C 5ln(2 + 2e^-1)
A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.
Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?
10. (Original post by mpwb12345)
if you don't mind would you be able to do your working out if at all possible? 🙈
When I get home I'll try to for the ones I remember

(Original post by Gouber)
What was question 6 again please?
Long division, can't remember exactly values. It then gave the result of the division as a curve, and you had to find the normal when X=3.
11. (Original post by Dieselblue)
For 5i what did people do with the sin and cos?

Also part 2a is wrong, -4x^2-20=-4(x^2+5) so -4/x^2+5
It was - 4x^2+20 wasn't it? Otherwise how would you get the range of values for the second part?
12. (Original post by Dieselblue)
For 5i what did people do with the sin and cos?

Also part 2a is wrong, -4x^2-20=-4(x^2+5) so -4/x^2+5
I got 20-4x^2, I thought it might be like that but couldn't find where I'd gone wrong. You might be right on that one

13. (Original post by particlestudent)
Im sure only the middle two values were allowed for 8B
Yeah I think I remember the limits between -pi/2 and pi/2
14. (Original post by veldt127)
I'm not 100% sure on all of these, but I think most are correct.

1.
A -5, 6
B 6

2.
A (20-4x^2)/(x^2+5)^2 Might not be simplest form
B >sqrt(5), <-sqrt(5)

3.
A R= sqrt(5)
a= 26.57°
B 33.0°, 273.9°
C 86.1°

4.
Ai 21
ii ln(2.5)
iii 25
B Show that question
C 1.4368, 1.4373
D Show the root was in [1.4365, 1.4375]

5.
i 0.9463
ii 0.5cosec(4Y)

6.
A A=3, B=4
B Normal eqn. -0.5x + 17.5

7.
A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)
B -1-0.5sqrt(3)

8.
A Trig proof
B -2.848, -1.277, 0.294, 1.865

9.
A 6.740 - dose after 4 hours
B show that dose equalled a value after 7 hours
C 5ln(2 + 2e^-1)
A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

Can anyone remind me what the questions were for 5i) and 6a)
15. (Original post by veldt127)
I got 20-4x, I thought it might be like that but couldn't find where I'd gone wrong. You might be right on that one
there was a common factor of -4 which allowed the top and bottom to cancel
16. (Original post by Mattematics)
Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?
Didnt specify but I put it as like 2y+x... as I thought it looked cleaner
17. (Original post by Mattematics)
Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?
It didn't specify
18. (Original post by veldt127)
It didn't specify
Brilliant

Think I got 73/75.
19. (Original post by DomWoodcock)
Yeah I think I remember the limits between -pi/2 and pi/2
Im pretty sure they were pi and -pi
20. (Original post by Mattematics)
Brilliant

Think I got 73/75.
Same unless I lose working marks and those answers are mostly right. Doubt it's gonna be enough for 100 UMS though, seems a lot of people found it easy

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