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# Oxford MAT 2013/2014 Watch

1. (Original post by Yezi_L)
Sure that c) (a^2+b^2) -r is greater than 1 is true when the centre of the second circle lies outside the first. But consider another position here:
When the two circles are concentric, root(a^2+b^2) +r is less than 1 means that the second circle is inside the first, so they won't intersect. By the way, you're also applying for Maths&Philosophy aren't you? I replied in the other thread but I'm not sure if you've seen it.

I never actually thought about it that way. Indeed, if r is very small and a,b lies within the circle then it will not intersect. In this case I really don't know what to think

Just saw it now, i'll reply now
2. Anyone from Scotland applying to Oxford to do Mathematics?
Does anyone have a good understanding of how Higher Mathematics (AS level equivalent) compares to the material in the MAT?
3. (Original post by BeltonianNewt)
Anyone from Scotland applying to Oxford to do Mathematics?
Does anyone have a good understanding of how Higher Mathematics (AS level equivalent) compares to the material in the MAT?
Have you had a look at the syllabus for MAT on the Oxford website? Here it is if you haven't.
4. (Original post by yl95)
SO glad I don't have to do Q4, teehee. I get the easy Q6. Geometry ain't my thing.
I am incredibly jealous of you - Q4 is definitely my weakest
5. (Original post by bluebell_flames)
I am incredibly jealous of you - Q4 is definitely my weakest
I never tried in Q4 when I was doing MAT practice for straight Maths but I doubt I'd want to...maybe I'll have a go later. :P

Is it weird that I find the MAT quite...fun? :O
6. (Original post by yl95)
I never tried in Q4 when I was doing MAT practice for straight Maths but I doubt I'd want to...maybe I'll have a go later. :P

Is it weird that I find the MAT quite...fun? :O
Hehe - only a little I enjoy the multiple choice questions and sometimes 2/3/5, but 4 is just a nightmare
7. Has anyone else started to really panic now? The MAT is so soon (~61 hours to go )
8. (Original post by bluebell_flames)
Hehe - only a little I enjoy the multiple choice questions and sometimes 2/3/5, but 4 is just a nightmare
I've improved which is a good sign; my marks are averaging in the 70s but it all depends on what Oxford have cooked up for us for Wednesday! In some papers, I got in the mid 60s and I don't want that happening. My aim is 15 in Q6, 36 in Q1, at least 10 in Q2 and Q3 and that should be 71....

_______
Also, guys, can anyone help me on Q2)iv) on the 2008 paper? I don't quite understand the mark scheme.
The bit I don't understand is why you use the (sorry, cba to type subscripts...) (xn)^2-2(yn)^2=1? Why do we assume that? I thought it was just an equation?
9. The way I think about it is consider the equation x^2-2y^2-1=0

You want to get that in a form of x/y= (something)

as n gets high, the 1 becomes negligible So x/y tends to root 2.
10. (Original post by bluebell_flames)
Has anyone else started to really panic now? The MAT is so soon (~61 hours to go )
YES!!! how are you coping?
11. (Original post by BankOfPigs)
The way I think about it is consider the equation x^2-2y^2-1=0

You want to get that in a form of x/y= (something)

as n gets high, the 1 becomes negligible So x/y tends to root 2.
Yeah, I considered that and got the answer but why do you consider it? I thought it only works for its solutions? Sorry to sound stupid.
12. In part (ii) you've found values for a and b such that (x_n+1)^2 - 2(y_n+1)^2 = (x_n)^2 - 2(y_n)^2, which means the value of x^2 - 2y^2 doesn't change as n increases. And since in (i) we've seen that (x_1)^2 - 2(y_1)^2 = 1 (i.e. the base case), we therefore can inductively say that (x_n)^2 - 2(y_n)^2 = 1 for all n.
It's at that point you can then divide by (y_n)^2 and consider what happens in the limit.
13. (Original post by BeltonianNewt)
YES!!! how are you coping?
Aww and I guess I'm not really If I mess up, 40% of my uni applications will have basically been completely wasted!

14. (Original post by yl95)
Yeah, I considered that and got the answer but why do you consider it? I thought it only works for its solutions? Sorry to sound stupid.
Are you aware that there is theoretically infinite solutions? (In the question we find 3 pairs but there are a lot more)

The relationship between the x and y values gets closer and closer towards root 2 in each 'iteration'.
15. (Original post by Woostarite)
In part (ii) you've found values for a and b such that (x_n+1)^2 - 2(y_n+1)^2 = (x_n)^2 - 2(y_n)^2, which means the value of x^2 - 2y^2 doesn't change as n increases. And since in (i) we've seen that (x_1)^2 - 2(y_1)^2 = 1 (i.e. the base case), we therefore can inductively say that (x_n)^2 - 2(y_n)^2 = 1 for all n.
It's at that point you can then divide by (y_n)^2 and consider what happens in the limit.

(Original post by BankOfPigs)
Are you aware that there is theoretically infinite solutions? (In the question we find 3 pairs but there are a lot more)

The relationship between the x and y values gets closer and closer towards root 2 in each 'iteration'.
Ah, thank you.. Both were very well explained.
16. (Original post by BankOfPigs)
Are you aware that there is theoretically infinite solutions? (In the question we find 3 pairs but there are a lot more)

The relationship between the x and y values gets closer and closer towards root 2 in each 'iteration'.
Honestly, I should have noticed that there are theoretically infinite solutions. Always missing out the obvious. -_-
17. 42nd page! For the love of Douglas Adams, I must make a post!
18. (Original post by bluebell_flames)
Aww and I guess I'm not really If I mess up, 40% of my uni applications will have basically been completely wasted!

That's pretty much the same with me. My application is good but this MAT - my result is currently unpredictable. I haven't yet done enough practice!!

Godwilling i will do well! At least 50/100 i'm aiming for 70+ though ideally.
19. (Original post by BeltonianNewt)
That's pretty much the same with me. My application is good but this MAT - my result is currently unpredictable. I haven't yet done enough practice!!

Godwilling i will do well! At least 50/100 i'm aiming for 70+ though ideally.
I feel 100% the same way Just thinking about Wednesday makes me nauseous.
20. Set sail for fail...

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