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# Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015 watch

1. Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015

1. (3 marks)

2. (4 marks)

3. (i) (2 marks)

(ii) (3 marks)

4. Complete proof (5 marks)

5. (i) Circle centre -2 + 0i radius 2 and half line starting at the centre of the circle 30 degrees above the negative real axis (4 marks)

(ii) (2 marks)

(iii) Shade sector inside circle between half line and negative real axis (2 marks)

6. (i) A' = (0, -1) B' = (2, -1) C' = (2, 0) (3 marks)

(ii) One possible combination is stretch in y direction scale factor 2

followed by rotation 90 degrees clockwise about the origin

(4 marks)

7. (i) (5 marks)

(ii) or (5 marks)

8. (i) Show (2 marks)

(ii) (6 marks)

(iii) (2 marks)

9. (i) a = 5 or a = 1 (6 marks)

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)

10. (i) (3 marks)

(ii) 29 (7 marks)

Edit: I've corrected the answer to 8(ii) as it had the wrong signs and 3(ii) as it was just wrong
2. Thanks Mr M.
3. (Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015

1. (3 marks)

2. (4 marks)

3. (i) (2 marks)

(ii) (3 marks)

4. Complete proof (5 marks)

5. (i) Circle centre -2 + 0i radius 2 and half line starting at the centre of the circle 30 degrees above the negative real axis (4 marks)

(ii) (2 marks)

(iii) Shade sector inside circle between half line and negative real axis (2 marks)

6. (i) A' = (0, -1) B' = (2, -1) C' = (2, 0) (3 marks)

(ii) One possible combination is stretch in y direction scale factor 2

followed by rotation 90 degrees clockwise about the origin

(4 marks)

7. (i) (5 marks)

(ii) or (5 marks)

8. (i) Show (2 marks)

(ii) (6 marks)

(iii) (2 marks)

9. (i) a = 5 or a = 1 (6 marks)

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)

10. (i) (3 marks)

(ii) 29 (7 marks)

Firstly thank you Mr M for posting the answers.

For question 8ii on method of differences i could not spot and cancel out the term, how many marks do you think I've lost.
And for 5i i wrote 150° instead of 30°
Thanks again
4. (Original post by Ahmad_18)
Firstly thank you Mr M for posting the answers.

For question 8ii on method of differences i could not spot and cancel out the term, how many marks do you think I've lost.
And for 5i i wrote 150° instead of 30°
Thanks again
You have probably lost 3 marks on 8ii.

It is 150 degrees if you measure from the POSITIVE real axis.
5. Thanks for posting!
6. What's raw mark is required to gain 100 UMS for June 2013 or June 2012?
7. For the transformation question, could you do a reflection in the line y=-x followed by a stretch scale factor -2 parallel to the x-axis, because if you multiply those two matrices you get the transformation matrix.
8. (Original post by Sahil_)
For the transformation question, could you do a reflection in the line y=-x followed by a stretch scale factor -2 parallel to the x-axis, because if you multiply those two matrices you get the transformation matrix.
there's a lot of answers to it
I did rotation 90 degrees clockwise then stretch scale factor 2 parallel to x axis for example

if they get the combined transformation matrix then it's all good
9. (Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015

1. (3 marks)

2. (4 marks)

3. (i) (2 marks)

(ii) (3 marks)

4. Complete proof (5 marks)

5. (i) Circle centre -2 + 0i radius 2 and half line starting at the centre of the circle 30 degrees above the negative real axis (4 marks)

(ii) (2 marks)

(iii) Shade sector inside circle between half line and negative real axis (2 marks)

6. (i) A' = (0, -1) B' = (2, -1) C' = (2, 0) (3 marks)

(ii) One possible combination is stretch in y direction scale factor 2

followed by rotation 90 degrees clockwise about the origin

(4 marks)

7. (i) (5 marks)

(ii) or (5 marks)

8. (i) Show (2 marks)

(ii) (6 marks)

(iii) (2 marks)

9. (i) a = 5 or a = 1 (6 marks)

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)

10. (i) (3 marks)

(ii) 29 (7 marks)
Thanks for that. One small thing, would 8ii not give a negative answer for what you had?
10. (Original post by Mr M)
I'm not sure what you are asking. The answer to 8ii is correct.
But if you subbed in n=2, you'd get a negative answer
11. (Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015

1. (3 marks)

2. (4 marks)

3. (i) (2 marks)

(ii) (3 marks)

4. Complete proof (5 marks)

5. (i) Circle centre -2 + 0i radius 2 and half line starting at the centre of the circle 30 degrees above the negative real axis (4 marks)

(ii) (2 marks)

(iii) Shade sector inside circle between half line and negative real axis (2 marks)

6. (i) A' = (0, -1) B' = (2, -1) C' = (2, 0) (3 marks)

(ii) One possible combination is stretch in y direction scale factor 2

followed by rotation 90 degrees clockwise about the origin

(4 marks)

7. (i) (5 marks)

(ii) or (5 marks)

8. (i) Show (2 marks)

(ii) (6 marks)

(iii) (2 marks)

9. (i) a = 5 or a = 1 (6 marks)

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)

10. (i) (3 marks)

(ii) 29 (7 marks)
Mr M, for question 5 I mistakenly done the centre of my circle and half line from -2 on the y axis and not on the x axis, My circle went through the origin and I got the half line angle right, how many marks do you think I dropped?
12. Hi Mr M, thanks for posting.

On the method of differences, i got 5/2 - some terms with n in that i cant remember, but I found a full cancelling pattern and considered integers for r and n-1 and n - how many marks could I pick up for method marks here?
Weirdly I obtained 5/4 for the sum to infinity question with a wrong previous term - would I still gain the marks?
Thanks again
13. Thank you very much - are you doing the m2 ocr answers by any chance?
14. (Original post by Jamesb17_)
But if you subbed in n=2, you'd get a negative answer
Yes sorry - I used a computer to solve it and must have had a wrong sign somewhere. I've done it by hand and fixed it now.
15. (Original post by jack0997)
Hi Mr M, thanks for posting.

On the method of differences, i got 5/2 - some terms with n in that i cant remember, but I found a full cancelling pattern and considered integers for r and n-1 and n - how many marks could I pick up for method marks here?
Weirdly I obtained 5/4 for the sum to infinity question with a wrong previous term - would I still gain the marks?
Thanks again
Probably drop 2 on 8ii). You'll probably get 1 on 9iii).
16. (Original post by nozzelf78)
Thank you very much - are you doing the m2 ocr answers by any chance?
I looked in another M2 thread and saw a list of answers so I thought I probably wouldn't bother. If there is some debate I can do. I have a paper in my bag.
17. (Original post by Mr M)
I looked in another M2 thread and saw a list of answers so I thought I probably wouldn't bother. If there is some debate I can do. I have a paper in my bag.
Agreed, I am pretty sure most people on TSR know the answers to M2 by now if they took the exam.
18. By this, looks like I've lost around 10 marks :/.

Thanks Mr M though! If I may ask, what OCR papers will you be able to put up a mark scheme for this year? I've still got C3, C4, FP3, S1, S2, and D2 to come.
19. Thanks do much for this Mr M!
For 9ii) I got all mixed up. I put non unique for a=3 but then I proved the equations were consistent finding an exact answer, will this scrape me any marks? For part B I said unique solution but I stated DetD=0 as I mixed up my facts about determinants. You think that will get a mark?
I hope there was error carried forward for 10 because I got u^3+16u -9 but didnt get a value for u^2. so in part ii I used the correct method but found that (-b/a)^2 was 0 this meant my final answer was -35 as I got the aby = -3. I really hope I haven't sacrificed loads of marks here when i was just on the cusp of getting them. The grade boundaries better be low!
20. (Original post by Sam596)
By this, looks like I've lost around 10 marks :/.

Thanks Mr M though! If I may ask, what OCR papers will you be able to put up a mark scheme for this year? I've still got C3, C4, FP3, S1, S2, and D2 to come.
I'll do C3 and C4 and maybe some others.

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