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# AQA A2 Mathematics Pure Core 3 MPC3 13th June 2018 Unofficial markscheme watch

1. If you remember any detail (marks, questions, answers, solutions to the answers, methods) about the exam, please quote me and I shall edit appropriately!

FULL MARKSCHEME: https://www.thestudentroom.co.uk/sho....php?t=5430792

Q1 - Differentiation

a) [2 marks]

b) Evaluate [3 marks]

Modulus of inverse tanx question

[1 mark]

Modulus of inverse tanx. [2 marks]
Reflect in y axis

Show that has only one solution by drawing a line on your graph.
Straight line intersects at 1 point in negative in negative x.

Find the equation of the tangent to the curve which touches at the point

Q4 - Functions question

[3 marks]

[1 mark]

Find the range of [3 marks]
, complete square, find minimum.

[4 marks]

Iteration X=-0.377

Solution for g(f(x)) = 21, x = 3, 23 DISCARD 23
There is controversy with the answer to this question with being a common answer as well.

Q5 - Graphs

a) Draw the graph of ln(2x) [2 marks]
Must intercept x axis at +0.5.

b)

c) Describe a sequence of transformations that map ln(2x) to ln(4x-3) [4 marks]
Most popular route: translation -0.75 in x, stretch s.f 1/2 parallel to x axis. More controversy with this as a popular answer is a translation of -1.5 in the x.

Q6 - Substitution

[7 marks]

Q7 - Double integration by parts

a)
b)
c) [3 marks]

Q8 - Trig question

a) Show that [3 marks]

b) x = 1.14, 0.0940, 2.71, 1.66 (3 sig fig) [7 marks]
2. I really can’t remember many answers, I remember for the substitution I got ln(3/2) - 1/3 and I just remember the double by parts was absolutely grim.
3. (Original post by EmilySarah00)
I really can’t remember many answers, I remember for the substitution I got ln(3/2) - 1/3 and I just remember the double by parts was absolutely grim.
I got this. My double parts revolution answer (the non exact value) was 6.6something x10^-5
4. (Original post by EmilySarah00)
I really can’t remember many answers, I remember for the substitution I got ln(3/2) - 1/3 and I just remember the double by parts was absolutely grim.
I got that. Double parts really messed me up so I just had to leave it as it was. I probably used the wrong substitutions but ugh well.

Anyone get root85 - 4 for g(f(X)) = 21? or something like that?
5. (Original post by Ihatescales)
I got this. My double parts revolution answer (the non exact value) was 6.6something x10^-5
Yeah I got something like this for the none exact value and it seemed so small which isn’t nice. I kept it as an exact value though.
6. (Original post by Ihatescales)
I got this. My double parts revolution answer (the non exact value) was 6.6something x10^-5
That looks right. I also got -1/3+ln(3/2). For the Volumes of Revolution, I believed I had a standard form as an answer but I kept it in terms of Pi
7. (Original post by BTAnonymous)
I got that. Double parts really messed me up so I just had to leave it as it was. I probably used the wrong substitutions but ugh well.

Anyone get root85 - 4 for g(f(X)) = 21? or something like that?
I hated that one! I got a quadratic which factorised to something like 3 and 23. But then I subbed them back into gf(x) and 3 worked however 23 didn’t so not sure there.
8. got pi {(-25/108 e^-12x) +(1/108 e^-6x)} for volume of revolution or something to that effect
9. For the tangent equation did anyone get 12y=-300x ??
10. (Original post by EmilySarah00)
Yeah I got something like this for the none exact value and it seemed so small which isn’t nice
Not nice but appropriate, I found the y value for x = 4/3 And it was quite small, so it would only make sense for the volumes of revolution to be quite small.
11. For the last questions I got 4 solutions, think one was 1.66
12. (Original post by dkbjwehvllkvb)
got pi {(-25/108 e^-12x) +(1/108 e^-6x)} for volume of revolution or something to that effect
Yes! This is what I got too
13. (Original post by esmithxx)
For the last questions I got 4 solutions, think one was 1.66
Yeah 1.66, 1.4something? I had 0.094 or something as well and a 2. something I think
14. (Original post by BTAnonymous)
I got that. Double parts really messed me up so I just had to leave it as it was. I probably used the wrong substitutions but ugh well.

Anyone get root85 - 4 for g(f(X)) = 21? or something like that?
yeah i got 4 plus or minus root85
15. (Original post by EmilySarah00)
Yeah 1.66, 1.4something? I had 0.094 or something as well and a 2. something I think
Yeah I think I got all of these too!!
16. Was k pi/2
17. (Original post by EmilySarah00)
Yes! This is what I got too
most people i spoke to said the same
18. I had a different answer for the Quadratic. While I had two answers, I rejected one because it has to comply with the range of x > -1
19. What did everyone get for the transformation question? It was like f(2x) to f(4x+3) I hate transformations so I probably got it wrong
20. (Original post by Evilstr99)
I had a different answer for the Quadratic. While I had two answers, I rejected one because it has to comply with the range of x > -1
What did you get?

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