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# Mr M's OCR (not OCR MEI) FP1 answers June 2012 Tweet

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1. Mr M's OCR (not OCR MEI) FP1 answers June 2012
Mr M's OCR (not OCR MEI) FP1 answers June 2012

1. (i) 21+11i (2 marks)

(ii) (3 marks)

2. (i) (2 marks)

(ii) (3 marks)

3. and (4 marks)

4. (7 marks)

5. Proof (5 marks)

6. (i) (3 marks)

(ii) (3 marks)

7. (i) Circle centre 3 + 4i and radius 4 and horizontal line through 0 + 4i (6 marks)

(ii) -1 + 4i and 7 + 4i (2 marks)

(iii) Shade top of circle above horizontal line (2 marks)

8. (i) Show (1 mark)

(ii) (6 marks)

(iii) N = 4 (4 marks)

9. (i) Shear parallel to x axis taking (0, 1) to (2, 1) (2 marks)

(ii) (5 marks)

(iii) Rotation clockwise about O by 60 degrees (2 marks)

10 (i) (3 marks)

(ii) (a) Unique solution

(b) No unique solution and inconsistent

(c) No unique solution and consistent (7 marks)
Last edited by Mr M; 01-06-2012 at 14:02. Reason: Fixed errors!
2. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
For 9(i) I put shear, x-axis invariant making an angle of arctan(1/2), would I get the mark for that? Also, how did you get Q7(ii)?
3. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
To the x-axis*
4. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
I think question 7(ii) might be wrong, the centre of the circle was at 3+4i, so lines would have crossed at -1+4i and 7+4i
5. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
For part 2ii) I don't remember getting 1/4 on the outside, think I got an 1/2 hmm..
6. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
Pretty sure that it was 60 degrees clockwise. Not 90
7. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Steve0606)
For 9(i) I put shear, x-axis invariant making an angle of arctan(1/2), would I get the mark for that? Also, how did you get Q7(ii)?
Sounds alright

Q7(ii) just coords of points of intersection of circle and line
8. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
8ii) was method of differences right? I just don't remember getting an answer like that :|
9. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by z95)
Pretty sure that it was 60 degrees clockwise. Not 90
Yes typo sorry
10. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by h2shin)
I think question 7(ii) might be wrong, the centre of the circle was at 3+4i, so lines would have crossed at -1+4i and 7+4i
Oh I see. Sorry!
11. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
It's 60 degrees, and also, I'm pretty sure Q7(ii) is incorrect. It should be -1+4i and 7+4i... I think
12. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by As_Dust_Dances_)
8ii) was method of differences right? I just don't remember getting an answer like that :|
I just put it over a common denominator.
13. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Steve0606)
It's 60 degrees, and also, I'm pretty sure Q7(ii) is incorrect. It should be -1+4i and 7+4i... I think
Yes fixed a couple of mins ago.
14. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Mr M)
I just put it over a common denominator.
Oh okay, and also for the last part of the question I got N=3 as I got a decimal answer at first but then presumed you couldn't have a decimal under the sigma. :/
15. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Mr M)
.
what was the matrix for 9)i) please?
Last edited by Bless3d; 01-06-2012 at 13:52.
16. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Mr M)
I just put it over a common denominator.
what was the unsimplified version of 8.(ii)?
17. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by As_Dust_Dances_)
Oh okay, and also for the last part of the question I got N=3 as I got a decimal answer at first but then presumed you couldn't have a decimal under the sigma. :/
No that isn't right - it came out with an exact answer.
18. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
Q4 I got the same but factorised, n(n^2 +1), I remember the question asking for it in fully factorised form so i was unsure whether they were looking for n(n+i)(n-i), i wrote both down but was thrown because i didn't they were looking for anything complex in this particular question

anyone now exactly what format they wanted the answer?
19. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
3/2 - 1/(n+1) - 1/(n+2) or something like that is what I got for 8ii)
20. Re: Mr M's OCR (not OCR MEI) FP1 answers June 2012
(Original post by Mr M)
No that isn't right - it came out with an exact answer.
I have no idea what I have done, I did the sum from 1 to infinity which I got was 3/2 I think + the sum from n to infinity 1/(n+1) - 1/(n+2). I ended up with a quadratic but I must have simplified it wrong..
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