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# Edexcel Maths FP1 UNOFFICIAL Mark Scheme 19th May 2017 watch

1. (Original post by Redcoats)
I got 8f(k) + 19(3^3k+blah). There are loads of different methods for it.
Do you remember your working for the question? None of my classmates including me were able to do this question, a few of them are still trying to work it out right now. Any help?
2. For the Area FXD question:
tangent has equation yq= x+ aq^2
at directrix, x= -a so yq = -a + aq^2 so y = (-a + aq^2)/q
F(a,0) X(-0.25a,0) D(-a, (-a + aq^2)/q)
Area of FXD = 1/2 x base x height = 0.5 x (a+0.25a) x modulus of ((aq^2 - a)/q)

Lets suppose the y coordinate of D is -5, length is 5, so times y coordinate of D by -1 to give magnitude.

Area = 0.5 x (1.25a) x ((a - aq^2)/q) = 0.625 x q^-1 x (a^2 - (a^2 x q^2))
I got it all in terms of q, as q is a parameter and everything in the question is algebra
what question was the p=20 one?
The equation has an unknown P in it, given the argument it can be proved that P=20
4. (Original post by murat10q7)
you know the last part of the series question i got 910=sigma k(2^r-1) and couldnt do the rest how many mark do you think that'll get? and how many marks was that last part of the question if any1 knows?
2 probably thats c2 geometric series btw in an fp1 paper lol
5. (Original post by __Will__)
Do you remember your working for the question? None of my classmates including me were able to do this question, a few of them are still trying to work it out right now. Any help?
Hopefully this helps.

6. (Original post by X_IDE_sidf)
These are my answers, looking for mild confirmation, here also are the marks:

1) This was a newton r

a) Prove root [6,7] Change of sign (2 marks)
b) Find first newton approx starting at 6 to 2dp , 6.45 (5 marks)

2) some matrix question:

(a) (2 marks)

(b) Given AB=P find B (3 marks)

3)
,
a) Find a line perpendicular to line between points and that goes through origin. Ans: (3 marks)
b) cart equation

c) Points of intersection and (3 marks)

4) Complex Numbers, horra.
i)
a) a+bi form : (3 marks)

b) p=20 (2 marks)
ii) ,

(2 marks)

5) i)
,
(a) Find AB (2)

find and
(b) ,

ii) I forget what the question was but (5 marks)

6 (a) -2-3i (1)

(b) a=2 b=-11 (5 marks)
7 (a) (4 marks)
(b) (4 marks)
(c) (2 marks)

8) (a) (5 marks)
(b) (4 marks)

9) two proofs questions, each worth 6 marks
What were proof questions?
7. Shameless Plug: https://www.thestudentroom.co.uk/sho....php?t=4724166
8. (Original post by Elliott M)
For the Area FXD question:
tangent has equation yq= x+ aq^2
at directrix, x= -a so yq = -a + aq^2 so y = (-a + aq^2)/q
F(a,0) X(-0.25a,0) D(-a, (-a + aq^2)/q)
Area of FXD = 1/2 x base x height = 0.5 x (a+0.25a) x modulus of ((aq^2 - a)/q)

Lets suppose the y coordinate of D is -5, length is 5, so times y coordinate of D by -1 to give magnitude.

Area = 0.5 x (1.25a) x ((a - aq^2)/q) = 0.625 x q^-1 x (a^2 - (a^2 x q^2))
I got it all in terms of q, as q is a parameter and everything in the question is algebra
Sorry to say but when x= -1/2a y=0 u can work out what q is which is 1/2
9. (Original post by Isaac_VB)
I got fisted by the proof but the rest went well
Exactly the same
10. (Original post by Elliott M)
For the Area FXD question:
tangent has equation yq= x+ aq^2
at directrix, x= -a so yq = -a + aq^2 so y = (-a + aq^2)/q
F(a,0) X(-0.25a,0) D(-a, (-a + aq^2)/q)
Area of FXD = 1/2 x base x height = 0.5 x (a+0.25a) x modulus of ((aq^2 - a)/q)

Lets suppose the y coordinate of D is -5, length is 5, so times y coordinate of D by -1 to give magnitude.

Area = 0.5 x (1.25a) x ((a - aq^2)/q) = 0.625 x q^-1 x (a^2 - (a^2 x q^2))
I got it all in terms of q, as q is a parameter and everything in the question is algebra
I also got this
11. (Original post by Mathsislive)
What were proof questions?
one was for all n in natural set
12. (Original post by elliemath)
How did everyone do the first proof by induction question? Was I wrong to prove true for n=k+1 and n=k+2?
U have to prove true for n=k+2 by induction and assume true for n=k and n=k+1
13. (Original post by X_IDE_sidf)
one was for all n in natural set
14. Misread the equation for newton raphson to have be +4/x^2 rather than -. How many marks will I lose
15. (Original post by Faznaz55)
U have to prove true for n=k+2 by induction and assume true for n=k and n=k+1
I believe this is also acceptable as a proof.

Attachment 648992
16. I got k as 3.4892635x10^-14 or something like that!?? help
17. (Original post by arniethepie)
Also for the matrix question where it was AB +2A= kI, me and my friends got p=3/2, k=15/2
Correct
18. Ffs, i thought the k series one was kr(2^(r-1)) not k(2^(r-1))
19. (Original post by Mathsislive)
Sorry, I'll use English,

The question was to prove that 19 divides where n is a natural number (positive, non zero integer), which I'm sure you can easily do yourself.

I cannot remember the other one, but it was a sequence of some sort.
20. (Original post by 04MR17)
Question 5 Matrices
i.) a.) ((12-5p) (4p-10))
..........((6p-15) (12-5p)) [2]
b.) p=1.5, k=7.5 [4]
ii.) a=4.5 [5]
Can you remember what the actual question was, I've forgotten what part ii was?

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