OCR (not-MEI) FP1 - Friday 20th May 2016

I thought that was alright, at least compared to M2...
I got:
1)
1/2 * n(n-1)(2n+3)
2)
i) sqrt(3)-3i
ii) -1/49 + 4sqrt(3)/49 i
3)
i) alpha + beta = -1/k
alpha * beta = 1
ii) (alpha + 1/alpha) * (beta + 1/beta) 1/k^2
4)
i) (5a-3b 10 0)
ii) (6b-5)
iii) (6a 12 18)
(4a 8 12)
(-a -2 -3)
5) [inductive proof]
6)
i) |z-3-3i| = sqrt(5)
ii) [argand diagram]
iii) 2 + 5i, 4 + i
7)
i) Shear, x axis invariant, (0,1) mapped to (3,1)
ii) (0 -1)
(-1 0)
Reflection in y=-x
8)
i) [Show that]
ii) n / 3(2n+3)
iii) 1/ 2(2n+1)
9)
i) [Show that]
ii) The equations were consistent
10)
i) +/- (5 + 4i)
ii) [Show that]
iii) +/- (5/41 +/- 4/41 i)

I thought that was alright, at least compared to M2...
I got:
1)
1/2 * n(n-1)(2n+3)
2)
i) sqrt(3)-3i
ii) -1/49 + 4sqrt(3)/49 i
3)
i) alpha + beta = -1/k
alpha * beta = 1
ii) (alpha + 1/alpha) * (beta + 1/beta) 1/k^2
4)
i) (5a-3b 10 0)
ii) (6b-5)
iii) (6a 12 18)
(4a 8 12)
(-a -2 -3)
5) [inductive proof]
6)
i) |z-3-3i| = sqrt(5)
ii) [argand diagram]
iii) 2 + 5i, 4 + i
7)
i) Shear, x axis invariant, (0,1) mapped to (3,1)
ii) (0 -1)
(-1 0)
Reflection in y=-x
8)
i) [Show that]
ii) n / 3(2n+3)
iii) 1/ 2(2n+1)
9)
i) [Show that]
ii) The equations were consistent
10)
i) +/- (5 + 4i)
ii) [Show that]
iii) +/- (5/41 +/- 4/41 i)

I agree with all of these except 8iii, which IIRC was a sum to infinity, so shouldn't have an n anywhere in it. <- THIS IS WRONG I CAN'T ****ING READ

Question 6 was the most confusing for me.
I think I got |z - 3 - 3i| = 5 for the equation, and 1+4i and 5+2i for the point of intersections.
Did anyone else get those answers?

Hello, this was a fairly average paper in terms of difficulty in my opinion - I've retaken it during my gap year having done rubbish in it two years ago. There will still be people who bring the grade boundaries down - i was one of those people 2 years ago.

The questions which I'm not sure about were:

the intersection points on the argand diagram - i resorted to judging the points using my diagram as they seemed to intersect nicely at integers on the axes. couldn't manage to get them methodically using trig..

the last part of the last question, did anyone bother/manage to get the equation in u using the x substitution ? I didn't include this step and so I don't think i have a couple of the method marks....

anyways, i need to smash d2 , s2 and fp2 , good luck to all in rest of exams!!!!!

What do you think an a will be for this exam?

Anybody has a copy of the paper?

Just teachers so far I think, or do you mean us reconstructing the paper?


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I reckon 62 for an A, although bear in mind I could be completely wrong.

(Based on 2015 being easier- 59 was an A, and a few years ago them going up to 64 for an A)

thanks. Do you remember how many mark altogether q10 was?

Hello, this was a fairly average paper in terms of difficulty in my opinion - I've retaken it during my gap year having done rubbish in it two years ago. There will still be people who bring the grade boundaries down - i was one of those people 2 years ago.

The questions which I'm not sure about were:

the intersection points on the argand diagram - i resorted to judging the points using my diagram as they seemed to intersect nicely at integers on the axes. couldn't manage to get them methodically using trig..

the last part of the last question, did anyone bother/manage to get the equation in u using the x substitution ? I didn't include this step and so I don't think i have a couple of the method marks....

anyways, i need to smash d2 , s2 and fp2 , good luck to all in rest of exams!!!!!