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

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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

Reply 201

A Slice of Pi

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.

Reply 202

Qcomber

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.

Reply 203

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.

Reply 204

MrMagic12345

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.

Reply 205

snimkar

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

Reply 206

lol ok but

what do you think 34 marks will be? :')

Reply 207

snimkar

Original post by lol ok but

what do you think 34 marks will be? :' :wink:

Probably 45 UMS so an E.

Reply 208

tanyapotter

Did people find this paper harder than last year's, or do people think the grade boundaries will increase?

Reply 209

A Slice of Pi

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.