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

Mr M
  • Community Assistant
Badges: 20
Rep:
?
#1
Report Thread starter 3 years ago
#1
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015


1. 2(x^2+y^2) (3 marks)


2. \frac{n}{2} (2n-3)(n+3) (4 marks)


3. (i) \frac{1}{2} \begin{pmatrix} 1 & -a \\0 & 2 \end{pmatrix} (2 marks)

(ii) \begin{pmatrix} 1 & 0 \\2 & 1-2a \end{pmatrix} (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-\sqrt 3 + i (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

\begin{pmatrix} 1 & 0 \\0 & 2 \end{pmatrix}

followed by rotation 90 degrees clockwise about the origin

\begin{pmatrix} 0 & 1 \\-1 & 0 \end{pmatrix} (4 marks)


7. (i) \pm (3+2i) (5 marks)

(ii) x=-1-2i or x=5+2i (5 marks)


8. (i) Show (2 marks)

(ii) -\frac{1}{n+1}-\frac{3}{n}+\frac{7}{2} (6 marks)

(iii) \frac{5}{4} (2 marks)


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

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)


10. (i) u^3+8u^2+16u-9=0 (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
quote
reply
Parallex
Badges: 6
Rep:
?
#2
Report 3 years ago
#2
Thanks Mr M.
1
quote
reply
Ahmad_18
Badges: 0
Rep:
?
#3
Report 3 years ago
#3
(Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015


1. 2(x^2+y^2) (3 marks)


2. \frac{n}{2} (2n-3)(n+3) (4 marks)


3. (i) \frac{1}{2} \begin{pmatrix} 1 & -a \\0 & 2 \end{pmatrix} (2 marks)

(ii) \begin{pmatrix} 1 & 2a \\2 & 2a+1 \end{pmatrix} (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-\sqrt 3 + i (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

\begin{pmatrix} 1 & 0 \\0 & 2 \end{pmatrix}

followed by rotation 90 degrees clockwise about the origin

\begin{pmatrix} 0 & 1 \\-1 & 0 \end{pmatrix} (4 marks)


7. (i) \pm (3+2i) (5 marks)

(ii) x=-1-2i or x=5+2i (5 marks)


8. (i) Show (2 marks)

(ii) \frac{1}{n+1}+\frac{3}{n}-\frac{7}{2} (6 marks)

(iii) \frac{5}{4} (2 marks)


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

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)


10. (i) u^3+8u^2+16u-9=0 (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
0
quote
reply
Mr M
  • Community Assistant
Badges: 20
Rep:
?
#4
Report Thread starter 3 years ago
#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.
0
quote
reply
exo97
Badges: 2
Rep:
?
#5
Report 3 years ago
#5
Thanks for posting!
1
quote
reply
crabby97
Badges: 0
Rep:
?
#6
Report 3 years ago
#6
What's raw mark is required to gain 100 UMS for June 2013 or June 2012?
0
quote
reply
Sahil_
Badges: 7
Rep:
?
#7
Report 3 years ago
#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.
0
quote
reply
Parallex
Badges: 6
Rep:
?
#8
Report 3 years ago
#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
0
quote
reply
Jamesb17_
Badges: 8
Rep:
?
#9
Report 3 years ago
#9
(Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015


1. 2(x^2+y^2) (3 marks)


2. \frac{n}{2} (2n-3)(n+3) (4 marks)


3. (i) \frac{1}{2} \begin{pmatrix} 1 & -a \\0 & 2 \end{pmatrix} (2 marks)

(ii) \begin{pmatrix} 1 & 2a \\2 & 2a+1 \end{pmatrix} (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-\sqrt 3 + i (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

\begin{pmatrix} 1 & 0 \\0 & 2 \end{pmatrix}

followed by rotation 90 degrees clockwise about the origin

\begin{pmatrix} 0 & 1 \\-1 & 0 \end{pmatrix} (4 marks)


7. (i) \pm (3+2i) (5 marks)

(ii) x=-1-2i or x=5+2i (5 marks)


8. (i) Show (2 marks)

(ii) \frac{1}{n+1}+\frac{3}{n}-\frac{7}{2} (6 marks)

(iii) \frac{5}{4} (2 marks)


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

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)


10. (i) u^3+8u^2+16u-9=0 (3 marks)

(ii) 29 (7 marks)
Thanks for that. One small thing, would 8ii not give a negative answer for what you had?
0
quote
reply
Jamesb17_
Badges: 8
Rep:
?
#10
Report 3 years ago
#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 :confused:
0
quote
reply
Uba1dHoque
Badges: 0
Rep:
?
#11
Report 3 years ago
#11
(Original post by Mr M)
Mr M's OCR (not OCR MEI) Further Pure 1 Answers May 2015


1. 2(x^2+y^2) (3 marks)


2. \frac{n}{2} (2n-3)(n+3) (4 marks)


3. (i) \frac{1}{2} \begin{pmatrix} 1 & -a \\0 & 2 \end{pmatrix} (2 marks)

(ii) \begin{pmatrix} 1 & 2a \\2 & 2a+1 \end{pmatrix} (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-\sqrt 3 + i (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

\begin{pmatrix} 1 & 0 \\0 & 2 \end{pmatrix}

followed by rotation 90 degrees clockwise about the origin

\begin{pmatrix} 0 & 1 \\-1 & 0 \end{pmatrix} (4 marks)


7. (i) \pm (3+2i) (5 marks)

(ii) x=-1-2i or x=5+2i (5 marks)


8. (i) Show (2 marks)

(ii) \frac{1}{n+1}+\frac{3}{n}-\frac{7}{2} (6 marks)

(iii) \frac{5}{4} (2 marks)


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

(ii) (a) Unique solution

(b) Inconsistent equations (4 marks)


10. (i) u^3+8u^2+16u-9=0 (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?
0
quote
reply
jack0997
Badges: 1
Rep:
?
#12
Report 3 years ago
#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
0
quote
reply
nozzelf78
Badges: 0
Rep:
?
#13
Report 3 years ago
#13
Thank you very much - are you doing the m2 ocr answers by any chance?
0
quote
reply
Mr M
  • Community Assistant
Badges: 20
Rep:
?
#14
Report Thread starter 3 years ago
#14
(Original post by Jamesb17_)
But if you subbed in n=2, you'd get a negative answer :confused:
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.
0
quote
reply
Mr M
  • Community Assistant
Badges: 20
Rep:
?
#15
Report Thread starter 3 years ago
#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).
0
quote
reply
Mr M
  • Community Assistant
Badges: 20
Rep:
?
#16
Report Thread starter 3 years ago
#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.
0
quote
reply
Jai Sandhu
Badges: 12
Rep:
?
#17
Report 3 years ago
#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.
0
quote
reply
Sam596
Badges: 2
Rep:
?
#18
Report 3 years ago
#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.
0
quote
reply
Chiefliam
Badges: 0
Rep:
?
#19
Report 3 years ago
#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!
0
quote
reply
Mr M
  • Community Assistant
Badges: 20
Rep:
?
#20
Report Thread starter 3 years ago
#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.
0
quote
reply
X

Reply to thread

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of Lincoln
    Brayford Campus Undergraduate
    Wed, 12 Dec '18
  • Bournemouth University
    Midwifery Open Day at Portsmouth Campus Undergraduate
    Wed, 12 Dec '18
  • Buckinghamshire New University
    All undergraduate Undergraduate
    Wed, 12 Dec '18

Do you like exams?

Yes (161)
18.51%
No (528)
60.69%
Not really bothered about them (181)
20.8%

Watched Threads

View All