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# FP3 June 14th Discussion Thread

Maths exam discussion - share revision tips in preparation for GCSE, A Level and other maths exams and discuss how they went afterwards.

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1. Re: FP3 June 14th Discussion Thread
(Original post by member910132)
Focusing mainly on FP2 lately as it's next Thursday but after that I will go 2 weeks on FP3 almost flat out, with a bit of M2.

Anyone else doing this exam ?

Edit: Enjoy the attachments
2. Re: FP3 June 14th Discussion Thread
Was anyone able to do Jan 11 Q6 first time ??

Would I get any marks for using the De-moivre theorem to proceed from ?
3. (Original post by member910132)
Was anyone able to do Jan 11 Q6 first time ??

Would I get any marks for using the De-moivre theorem to proceed from ?
Cos^3 x - cos^5 x
= cos^3 x (sin^2 x)
= cos x (1 - sin^2 x)(sin^2 x)
Use u=sinx
du = cos x dx
To give...
= cos x (1 - u^2)(u^2) dx
= (1 - u^2)(u^2) du
= u^2 - u^4
Which is easy to integrate an sub sinx back in. =P

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4. Re: FP3 June 14th Discussion Thread
(Original post by Quexx)
Cos^3 x - cos^5 x
= cos^3 x (sin^2 x)
= cos x (1 - sin^2 x)(sin^2 x)
Use u=sinx
du = cos x dx
To give...
= cos x (1 - u^2)(u^2) dx
= (1 - u^2)(u^2) du
= u^2 - u^4
Which is easy to integrate an sub sinx back in. =P

This was posted from The Student Room's iPhone/iPad App
This would be the standard way, the examiner would not expect to see De Moivre's in FP3.
5. Re: FP3 June 14th Discussion Thread
I am doing this exam tomorrow, along with Core 4. Revision is going so well compared to FP2! The papers are a lot more repetitive. I understand all the questions. My main worry is, I seem to make so many stupid mistakes on the past papers :/.
6. Re: FP3 June 14th Discussion Thread
If anyone wants the most difficult past papers too practice. i would recommend:
Jan 12
Jan 11
June 09
June 07
The rest are far too easy and aren't worth doing really.

Hopefully get 100 UMS in this to leave getting 83UMS in FP4 for an A*. Should be do-able so long as they don't ask a silly part C to polar co-ordinates
7. Re: FP3 June 14th Discussion Thread
just wanted to ask that when i'm doing a question, do I need to write all the steps for example if its long integration question can I just go to the answer and not write many steps and still get full marks? (this is when the question does not ask to show a specific answer)
8. Re: FP3 June 14th Discussion Thread
(Original post by singh224)
just wanted to ask that when i'm doing a question, do I need to write all the steps for example if its long integration question can I just go to the answer and not write many steps and still get full marks? (this is when the question does not ask to show a specific answer)
To be safe, why not just do the working - FP3 IS quite generous in terms of time.
9. Re: FP3 June 14th Discussion Thread
Thought that was quite hard, what did you get k as on question 2, what angle on the very last question?
10. Re: FP3 June 14th Discussion Thread
I got 1/12, what did you get?
11. Re: FP3 June 14th Discussion Thread
I thought it was alright, i'd probably say harder then previous years papers but i wouldn't have said impossible. anyone get for the big differentiation one there particular integral being 0.5 + 2sint + 2cost? and the last part being x^3A +x^2B +0.5 + 2sinlnx + 2coslnx???
12. Re: FP3 June 14th Discussion Thread
Yep I got the same as that
13. Re: FP3 June 14th Discussion Thread
(Original post by Crazypaving)
I thought it was alright, i'd probably say harder then previous years papers but i wouldn't have said impossible. anyone get for the big differentiation one there particular integral being 0.5 + 2sint + 2cost? and the last part being x^3A +x^2B +0.5 + 2sinlnx + 2coslnx???
Yes i got the same

(Original post by nebelbon)
Thought that was quite hard, what did you get k as on question 2, what angle on the very last question?
I got k=12 from 4k=48 at the end.....

Definitely lost 7marks on the last question but i think thats all.
Good maclaurins series question, nailed it.
e^y= 1+sinx

Tough differential equation substitution question but got the answer right in the end after make one silly error.
14. Re: FP3 June 14th Discussion Thread
(Original post by maxjmay)
I got 1/12, what did you get?

Got that and got the same solution as the other guy 2sinx +2cosx + 0.5
15. Re: FP3 June 14th Discussion Thread
(Original post by scottb3scott)
Yes i got the same

I got k=12 from 4k=48 at the end.....

Definitely lost 7marks on the last question but i think thats all.
Good maclaurins series question, nailed it.
e^y= 1+sinx

Tough differential equation substitution question but got the answer right in the end after make one silly error.
What did you get for the series in terms of x and also what wad d4y/dx4 in terms of e^y
16. Re: FP3 June 14th Discussion Thread
I thought it was generally ok, apart from the last question, and that tough Second order differential equation, although I think I got k=1/12 on Q2 and the same equation above, which is good.

What did you guys get for the polar coordinates of N? I guessed theta = pi/4, so I think I got (4root2, pi/4). Then knew it was something about triangles and cosine rule on the last part, and I have a horrible feeling I scribbled out the correct answer, oh well.
17. Re: FP3 June 14th Discussion Thread
(Original post by Evap)
I thought it was generally ok, apart from the last question, and that tough Second order differential equation, although I think I got k=1/12 on Q2 and the same equation above, which is good.

What did you guys get for the polar coordinates of N? I guessed theta = pi/4, so I think I got (4root2, pi/4). Then knew it was something about triangles and cosine rule on the last part, and I have a horrible feeling I scribbled out the correct answer, oh well.
I did the same guess! I guessed pi/4 as well, and got r=4 as a result of that.

The paper was pretty good except the last part of question 8 for me.
18. Re: FP3 June 14th Discussion Thread
(Original post by Europe Skies)
I did the same guess! I guessed pi/4 as well, and got r=4 as a result of that.

The paper was pretty good except the last part of question 8 for me.
Same guess, i got 1.08 for the obtuse angle; anyone get this.

Also what was the limit for the improper integral i got 2? i think i integrated wrong.
19. Re: FP3 June 14th Discussion Thread
(Original post by nebelbon)
Same guess, i got 1.08 for the obtuse angle; anyone get this.

Also what was the limit for the improper integral i got 2? i think i integrated wrong.
I got -2 for that one, I integrated by parts twice but I don't know if that is right.
20. Re: FP3 June 14th Discussion Thread
Anyway, I thought that this exam was pretty good up to the last question which I couldn't do and put 2pi/3 for a educated guess (which was wrong very likely).
What did people get as the co-ordinates for the last question?
N = (4,pi/4)
P and Q = (4root2, pi/12) and (4root2, 5pi/12) ?

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Last updated: June 15, 2012
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