The AEA/Oxford/S Paper superthread
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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Re: The AEA/Oxford/S Paper superthreadedit: I just realised what you posted. The statement(Original post by darkness9999)
And also why is
is not true. And the only function I think of, such that 
(*), is 
, although there may be more [edit: there are indeed more eg. f = 1/x and f = a-x, for some constant a]. And it should be obvious that 
, if that function is the only function that obeys (*).
Consider
and 
, noting that 
. Then still 
The statement
is true though. I think it's more a way of defining the inverse function, somewhat:
Let
map to 
. Therefore 
maps to 
.
And of course the same is true for
Hmm. I have a feeling my logic is circular.
And those theorems were a good plan
One I'm knicking out of a STEP thread:
Which can be proved with a quick substitution of
for some variable 
.
An example you might like to try:
Spoiler:ShowBy the theorem in the post, the integral is also equivalent to:
![\iff 2I = \displaystyle\int_2^7 1 \ \mathrm{d}x = \Left [ x \Right ] _2^7 = 5 \iff \boxed{I = \frac{5}{2}}](http://www.thestudentroom.co.uk/latexrender/pictures/cb/cb98e710f0db7ec6d61853371172c6b9.png "\iff 2I = \displaystyle\int_2^7 1 \ \mathrm{d}x = \Left [ x \Right ] _2^7 = 5 \iff \boxed{I = \frac{5}{2}}")
Last edited by Unbounded; 12-02-2010 at 19:58. -
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Re: The AEA/Oxford/S Paper superthreadThanks for this and settling my confusion(Original post by GHOSH-5)
edit: I just realised what you posted. The statement is not true. And the only function I think of, such that (*), is , although there may be more. And it should be obvious that , if that function is the only function that obeys (*).
Consider and , noting that . Then still
The statement is true though. I think it's more a way of defining the inverse function, somewhat:
Let map to . Therefore maps to .
And of course the same is true for
Hmm. I have a feeling my logic is circular.
And those theorems were a good plan
One I'm knicking out of a STEP thread:
Which can be proved with a quick substitution of for some variable .
An example you might like to try:
Spoiler:ShowBy the theorem in the post, the integral is also equivalent to:
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Re: The AEA/Oxford/S Paper superthreadI still have to revise for physics(Original post by GHOSH-5)
No worries. So glad I've finished all my non-maths subjects. I'll be pounding down some STEP and AEA for the next couple weeks I think
... but its all for AEA after next week 
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Re: The AEA/Oxford/S Paper superthreadAny function(Original post by GHOSH-5)
And the only function I think of, such that (*), is , although there may be more.
whose graph 
has reflective symmetry in the line 
will have that property I think. For example, 
, 
, etc.
Last edited by Mark13; 06-06-2009 at 18:22. -
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Re: The AEA/Oxford/S Paper superthreadIndeed. I think it's generally true for any function(Original post by Mark13)
Any function whose graph has reflective symmetry in the line will have that property I think. For example, , , etc.
with an inverse function. As the inverse function is, crudely, the 'reverse' process. One could consider a function to be like a machine: put a number in one side of it, and out pops another number; the inverse function is just doing those processes in reverse. I'm not sure how one would prove explicitly that 
as it seems like almost a way of defining the inverse function. edit: turns out it is a way of defining the inverse according to wiki.
Last edited by Unbounded; 06-06-2009 at 20:56. -
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Re: The AEA/Oxford/S Paper superthreadWas the 2001 specimen (available from the warwick website) an actual oficial specimen? I ask because I thought the questions were very straight-forward compared to other papers I've done so far. On this one I managed to finish all the questions in about 45 minutes, whereas normally I wouldn't a) Finish all the questions entirely b) Let alone so quickly c) Make no mistakes d)not have to stop to think before diving straight into anwering any of the questions. Note: also, the 2002 specimen was one of the trickiest papers I've seen so far.. It just doesn't fit the pattern...
Last edited by Horizontal 8; 08-06-2009 at 20:27. -
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Re: The AEA/Oxford/S Paper superthreadJust did a quick check and 2001 specimen is in my past paper pack so yes it must have been an official specimen. This is normal however for specimen papers, many are much easier than the papers that follow in subsequent years(Original post by Horizontal 8)
Was the 2001 specimen (available from the warwick website) an actual oficial specimen? I ask because I thought the questions were very straight-forward compared to other papers I've done so far. On this one I managed to finish all the questions in about 45 minutes, whereas normally I wouldn't a) Finish all the questions entirely b) Let alone so quickly c) Make no mistakes d)not have to stop to think before diving straight into anwering any of the questions. Note: also, the 2002 specimen was one of the trickiest papers I've seen so far.. It just doesn't fit the pattern... -
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Re: The AEA/Oxford/S Paper superthreadHmm.. I found the 2004 paper the worst so far and the 2002 the easiest (excluding specimens)... 2005/2003 were ok aswell though...(Original post by darkness9999)
hmm it is really annoying to see how they increase the difficulty of the paper each year ... i mean the 2005 paper was sooo easy compared to the 07/08 paper... hmm -
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Re: The AEA/Oxford/S Paper superthreadWell I only found the 2002 Specimen easier than the 2004 paper so far...(Original post by NesQuiK.)
Just did a quick check and 2001 specimen is in my past paper pack so yes it must have been an official specimen. This is normal however for specimen papers, many are much easier than the papers that follow in subsequent years
Still got 06/07/08 to go though -
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Re: The AEA/Oxford/S Paper superthreadSill got all of them to do(Original post by Horizontal 8)
Well I only found the 2002 Specimen easier than the 2004 paper so far...
Still got 06/07/08 to go though
How long do you take to do each paper on avg? -
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Re: The AEA/Oxford/S Paper superthreadoh yeah that was a taff one... the questions I couldn't do were 4(b) and 5(d) ... killer(Original post by Horizontal 8)
Hmm.. I found the 2004 paper the worst so far and the 2002 the easiest (excluding specimens)... 2005/2003 were ok aswell though... -
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Re: The AEA/Oxford/S Paper superthreadVaries quite abit but usually between 2 hours and 2h30...(Original post by NesQuiK.)
Sill got all of them to do
How long do you take to do each paper on avg?
Ye it was abit of a pain... for question 4 (i) they listed like 6 different ways of doing it yet I did it a different way.. I definately showed 'em(Original post by darkness9999)
oh yeah that was a taff one... the questions I couldn't do were 4(b) and 5(d) ... killer
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Re: The AEA/Oxford/S Paper superthread(Original post by NesQuiK.)
Sill got all of them to do
How long do you take to do each paper on avg? I'm saving 05-08 for the next two weeks to bash out.
I find it really varies. Sometimes I spend ages on one of the 'easier' questions at the start, but blast through the other 3-4 earlier questions in no time at all.
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Re: The AEA/Oxford/S Paper superthreadWish i could do that. Still got another 9 'real' exams to bash out in the next two weeks(Original post by GHOSH-5)
I'm saving 05-08 for the next two weeks to bash out.
I find it really varies. Sometimes I spend ages on one of the 'easier' questions at the start, but blast through the other 3-4 earlier questions in no time at all.
Good luck. God, how many exams are you taking in total this May/June sitting? 
