[Mr M]

Mr M's OCR (not OCR MEI) Further Pure 2 answers June 2012


1. (5 marks)


2. (i) and

(ii) r = 0.770 (4 marks)

(iii) (3 marks)


3. (i) Prove ... (2 marks)

(ii) and (6 marks)


4. (i)



Draw staircase diagram (3 marks)

(ii) Sketch and show (2 marks)

(iii) 1.3953 (4 marks)


5. (i) Show ... (5 marks)

(ii) Sketch the rest of graph

and (3 marks)


6. (i) Prove reduction formula (5 marks)

(ii) (4 marks)


7. (i) a=2, b=n, c=1, d=n-1 (3 marks)

(ii) (4 marks)

(iii) Show ... (5 marks)


8. (i) (4 marks)

(ii) and (4 marks)

(iii) (2, 2) (4 marks)

[wibletg]

(Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 2 answers June 2012

Thanks Mr.M.

What did you think of the paper?

I'm looking at about 53/72 worst case scenario so potentially a mid A (85 UMS) depending on the boundaries

[CJAW]

(Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 2 answers June 2012


1. (5 marks)


2. (i) and

(ii) r = 0.770 (4 marks)

(iii) (3 marks)


3. (i) Prove ... (2 marks)

(ii) and (6 marks)


4. (i)



Draw staircase diagram (3 marks)

(ii) Sketch and show (2 marks)

(iii) 1.3953 (4 marks)


5. (i) Show ... (5 marks)

(ii) Sketch the rest of graph

and (3 marks)


6. (i) Prove reduction formula (5 marks)

(ii) (4 marks)


7. (i) a=2, b=n, c=1, d=n-1 (3 marks)

(ii) (4 marks)

(iii) Show ... (5 marks)


8. (i) (4 marks)

(ii) and (4 marks)

(iii) (2, 2) (4 marks)

Thanks for the answers again!
My query is 2ii). I had sintheta = 1/root 3 and in the exam, I forgot to do inverse sine before plugging the answer into the costheta part of r and I ended up with your answer, 0.770.
On the other thread, 0.790 seems to be the consensus. Would you mind double checking that part?

[Wahrheit]

(Original post by CJAW)
Thanks for the answers again!
My query is 2ii). I had sintheta = 1/root 3 and in the exam, I forgot to do inverse sine before plugging the answer into the costheta part of r and I ended up with your answer, 0.770.
On the other thread, 0.790 seems to be the consensus. Would you mind double checking that part?

I've got the paper in front of me and I just tried doing it by differentiation and ended up with tantheta=1/root2 which gives a maximum of 0.769800... =0.770

[CJAW]

(Original post by Wahrheit)
I've got the paper in front of me and I just tried doing it by differentiation and ended up with tanx=1/root2 which gives a maximum of 0.769800... =0.770

I'm pleased if that's the case!

[lilipop]

Hello Mr M, for Q8, I put the equation as half x^2+2x+10, would I lose any mark for it?

[chloe45]

Thanks Mr M!

[Ree69]

Crap for 2iii) I got and didn't bother to simplify it

[wibletg]

(Original post by Ree69)
Crap for 2iii) I got and didn't bother to simplify it

You might get the marks for that still - not sure though?

IIRC the question said to remove all fractions?

[Mr M]

(Original post by lilipop)
Hello Mr M, for Q8, I put the equation as half x^2+2x+10, would I lose any mark for it?

??? That doesn't sound much like the answer!

[SecondHand]

(Original post by wibletg)
Thanks Mr.M.

What did you think of the paper?

I'm looking at about 53/72 worst case scenario so potentially a mid A (85 UMS) depending on the boundaries

Same here, was a tough one.

[Steve0606]

For the first one, I made a stupid mistake: I found sech(x) instead of sech(2x) then substituted :/ If I found this integral correctly, how many marks would I drop?

[lilipop]

(Original post by Mr M)
??? That doesn't sound much like the answer!

I meant the top part, and the bottom part I put was x+2

[Mr M]

(Original post by lilipop)
I meant the top part, and the bottom part I put was x+2

Oh I see. That's ok if a bit odd!

[Mr M]

(Original post by wibletg)
Thanks Mr.M.

What did you think of the paper?

I'm looking at about 53/72 worst case scenario so potentially a mid A (85 UMS) depending on the boundaries

I can't tell any more. It seemed easy to me but my students said it was harder than some of the past papers and they would probably be in a better position to judge. Remember I have taught FP2 every year since it started so know it inside out.

[jamib0y]

It wasn't bad, just couldnt prove 7iii). went about it the wrong way, thats 67/72.... reckon thats 100 UMS?

[wibletg]

(Original post by Mr M)
I can't tell any more. It seemed easy to me but my students said it was harder than some of the past papers and they would probably be in a better position to judge. Remember I have taught FP2 every year since it started so know it inside out.

Thanks anyway

(Original post by jamib0y)
It wasn't bad, just couldnt prove 7iii). went about it the wrong way, thats 67/72.... reckon thats 100 UMS?

More than likely.

[CJAW]

(Original post by Wahrheit)
I've got the paper in front of me and I just tried doing it by differentiation and ended up with tantheta=1/root2 which gives a maximum of 0.769800... =0.770

I'm talking utter rubbish. It was me who got 0.790, everyone else had 0.770.
I think FP2 has tired me out...

[jamib0y]

(Original post by wibletg)
Thanks anyway



More than likely.

Thats good, just 9 more exams to go and I'll be done/

[lilipop]

(Original post by jamib0y)
Thats good, just 9 more exams to go and I'll be done/

9 more?! That's horrible, good luck!