[abcdefg1990]

hi, does anyone have the answers to the 2006 oxford admissions test?

thanks

[The Muon]

I can give you a list on here if thats helpful but there are no published solutions

[The Muon]

1
A.d
B.c
C.b
D.a
E.a
F.b
G.b
H.c
I.a
J.d

The numbered ones are a little harder to give solutions for but if you need a specific question I could give you a couple of hints.

[abcdefg1990]

Originally Posted by The Muon

1
A.d
B.c
C.b
D.a
E.a
F.b
G.b
H.c
I.a
J.d

The numbered ones are a little harder to give solutions for but if you need a specific question I could give you a couple of hints.

thanks for the solutions I agree with all of the apart from J I got c for that one. can you also tell me what you got for question 4 iii) the ange CAB, I get pi/3 i was just wondering if that was right. thanks

[Swayum]

Originally Posted by abcdefg1990

thanks for the solutions I agree with all of the apart from J I got c for that one

Part c) corresponds to two circles which do not intersect and are far away from each other. But consider two circle which do not intersect with one inside the other.

[abcdefg1990]

Originally Posted by Swayum

Part c) corresponds to two circles which do not intersect and are far away from each other. But consider two circle which do not intersect with one inside the other.

oh I see now so its d, thats 4 marks down the drain

[oo_Lucinda_oo]

i didn't even know they Had an admissions test lol

oh how far away the life of Oxbridge applicants is from mine...

[The Muon]

Originally Posted by abcdefg1990

can you also tell me what you got for question 4 iii) the ange CAB, I get pi/3 i was just wondering if that was right. thanks

pi/3 is correct

[kuka]

Can anyone post the answers for the 2007 test too?

I've got:
A - b
B - c
C - b
D - a
E - b
F - c
G - a
H - no idea, please someone tip me
I - c
J - d

edit: i think on H the answer is d) 2. Am I right?

[DKer]

Yer I think H is (d).
The rest seem right to me.

[adie_raz]

Does anyone know why there arn't any mark schemes for the admissions tests. I have done all of the material on the site, but it is a real pain only having answers to two of the four exam papers.

[omgosh]

Originally Posted by adie_raz

Does anyone know why there arn't any mark schemes for the admissions tests. I have done all of the material on the site, but it is a real pain only having answers to two of the four exam papers.

Umm... where'd you get the answers?

[gangsta316]

Originally Posted by omgosh

Umm... where'd you get the answers?

There are mark schemes for the two specimen papers.
http://www.maths.ox.ac.uk/prospectiv...specimen-tests

http://www.maths.ox.ac.uk/files/impo...olutionsa2.pdf

http://www.maths.ox.ac.uk/files/impo...olutionsb2.pdf

[kuka]

Can someone post what he gets on the 3. ii) iii) and iv) from the 2006 test? Much appreciated

[adie_raz]

I was not sure with 3)ii).

To find k there needs to be one positive and one negative solution to f(x). I thought that for a cubic to have 2 solutions one must be repeated therefore if the graph was moved upwards, the minimum turning point would sit on the x axis.

Another idea was if the graph was shifted to the left then it would cross at
(0,0) and this meant that one solution was positive and one was negative whilst still having three solutions.

To be honest I went with the first idea, but this could mean that k couldhave several values as the repeated root could touch at various points on the x axis.

I am probably thinking too much into it and ended up confusing myself on this question. But I would like to know what other think.

[kuka]

Originally Posted by adie_raz

I was not sure with 3)ii).

To find k there needs to be one positive and one negative solution to f(x). I thought that for a cubic to have 2 solutions one must be repeated therefore if the graph was moved upwards, the minimum turning point would sit on the x axis.

Another idea was if the graph was shifted to the left then it would cross at
(0,0) and this meant that one solution was positive and one was negative whilst still having three solutions.

To be honest I went with the first idea, but this could mean that k couldhave several values as the repeated root could touch at various points on the x axis.

I am probably thinking too much into it and ended up confusing myself on this question. But I would like to know what other think.

I was thinking exactly the same - the first way is for k to be smth like 0.4. The other way is to shift it 1 unit to the left. But what about iii and iv? On iii) i get x1=1 and g(x1)=1/4. Strangely, iv seems the same to me

[adie_raz]

I am yet to try those but will let you know when I do. what did you put as your final answer for k then?

[kuka]

Originally Posted by adie_raz

I am yet to try those but will let you know when I do. what did you put as your final answer for k then?

I have not calculated either of the possibilities, but I guess I will write both. The first is k=f(1+[sqrt(3)/3]) and the second will be the difference between f(x+1) and f(x). On iv) i get x2=2 (thanks to a rather brilliant classmate).

[adie_raz]

I agree with you that X1=1 and that g(x)=1/4, and also X2=2 is right

[The Muon]

Originally Posted by kuka

Can anyone post the answers for the 2007 test too?

I've got:
A - b
B - c
C - b
D - a
E - b
F - c
G - a
H - no idea, please someone tip me
I - c
J - d

edit: i think on H the answer is d) 2. Am I right?

There is another 2007 paper thread i think and that should have most of the answers but I for your peace of mind I can tell you that ou got them all right!

Originally Posted by kuka

Can someone post what he gets on the 3. ii) iii) and iv) from the 2006 test? Much appreciated

ii)

iii) greatest when

iv) greatest when

I presumed you just wanted the answers and not explanations but if you do need some explanations just let me know and I'll put on my latex gloves and go latex crazy!