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# AQA A2 MFP2 Further Pure 2 – 24th June [Exam Discussion Thread]

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1. My answers: (Seem to agree with others)

1. A = 4
sum = 50/609

2. beta = 1-2i
alpha*beta = 5
gamma = 1/3
q = -5
p = -7

3. -3/4 + ln7

4. sqrt(3)*pi/18

5. |z| = 8
arg w = 2pi/3
z = 2e^i*pi*x where x = 5/18, 17/18, -7/18

6. 2/3 (forgot the context of that)
A = 3cosh^-1 2 + 6sqrt3 + 5

7. When n = 1, LHS = 1+p = RHS => true for n=1
If true for n=k, (1+p)^k >= 1+kp => (1+p)^(k+1) = (1+kp)(1+p) = 1 + kp + p + kp^2 = 1+(k+1)p + kp^2 >= 1 + (k+1)p
=> true for n=k+1 => true for all integers n >= 1 by induction

8. z = i*tan(phi) where phi = 5/8, 3/8, 7/8
tan^2*tan^2 of things = 1
tan*tan + tan*tan of things = 6
2. (Original post by ThusSpakeAlex)
What'd you think o 'the induction? (broken keyboard)
Not too bad. It's a very useful inequality and it's actually quite a famous one (Bernoulli's, if I'm not mistaken), so the proof is quite well known.
3. I did not find this paper as "nice" as people are saying it is. But anyway, time to go and revise M2 and Unit 5 Physics.
4. I thought it was alright, Didnt get the last 8 but feel like I manged to get most of the rest. Any idea what 60 would get me? I hope its an A.
5. (Original post by snimkar)
I thought it was alright, Didnt get the last 8 but feel like I manged to get most of the rest. Any idea what 60 would get me? I hope its an A.
Its been at least a low A every year for quite a while so I hope so. I think I got about the same.
6. (Original post by MrMagic12345)
Its been at least a low A every year for quite a while so I hope so. I think I got about the same.
Hey a low A is still an A, thats all I need haha
7. what do you think 34 marks will be? :')
8. (Original post by lol ok but)
what do you think 34 marks will be? :'
Probably 45 UMS so an E.
9. Did people find this paper harder than last year's, or do people think the grade boundaries will increase?
10. (Original post by tanyapotter)
Did people find this paper harder than last year's, or do people think the grade boundaries will increase?
Depends on where your strengths lie. There was a lot on integration and hyperbolics this year and if you were well prepared for this it would've been an easy(ish) paper. Hard to call the boundaries though.

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