YUS(Original post by gasfxekl)
x=+1 and tan theta is 1/y i think.
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STEP Prep Thread 2016 (Mark. II) watch
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StrangeBanana
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 17062016 12:25

ComputerMaths97
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 17062016 12:26
Here's how I did (expecting very low marks) so would appreciate some help on the questions I got wrong + a mark approximation would be greatly appreciated although I'm not expecting anything
1) Didn't do much, couldn't prove that they met on the c2 curve. I didn't really see what the shape of the graph was supposed to be, I went with it being an exponentialshaped curve in the positive xy quadrant, and that being reflected in the x axis so the points P and Q where at x1,y1 and x1,y1 if symmetrical. But couldn't work out how their tangents met, I think I got them meeting at something like x = 2t^2 not sure though
2) Was able to get most of this question done, just didn't have enough time to finish the last last part. We had to solve an equation, and I got to the point with solutions x=2 and x=f(b) (I can't remember f(b) but it was something in terms of b). I really liked this question, sucks that I only decided to do it at the end of the paper, was pretty simple once you realise the first part.
3) Did this question really quickly, but got stuck when I was supposed to draw the graph of fn(x) to show the position of fn(c) or something like that. Hoping I still got some credit for what I did do here
12) Just proved that initial formulae using that P(AnB) general formulae. Hopefully a few marks for doing that.
I went into this exam hoping to get 3 fulls, then just get some marks from elsewhere wherever I could If I had spare time. This failed miserable, didn't even get 1 full!
How did you guys find it? I'm also really annoyed I forgot how to do the integral of f(x) = integral of f(ax)  I've definitely done that before.Last edited by ComputerMaths97; 17062016 at 12:29. 
Gunawardana
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 17062016 12:28
(Original post by shamika)
Estimate of grade boundaries: 99 / 70 / 60 (for S / 1 / 2).
Please note that I am in the minority who think the paper was generally OK, but some of that is me underestimating the difficulty of Q6 (I think this is OK as I overestimated the difficulty of Q3), and because Q1213 were both on the easy side (but not many try the stats).Last edited by Gunawardana; 17062016 at 12:30. Reason: *thought 
sweeneyrod
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 17062016 12:29
(Original post by username1987)
If others agree with you then I'm probably wrong; the way I was thinking of it was I imagined there were only n1 cards, considered the probability that all were wrongly ordered and then put in the last card in one of n spaces including the ends... now that I think about it though, I don't think that would multiply the probability by n. Ah well, I'll just have to aim for an S in 3 by doing all the mechanics questions... 
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 17062016 12:29
(Original post by computerkid)
Any idea how many marks that last bit was worth? 
Zacken
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 17062016 12:30
If somebody could put my mind to rest as to whether I got a 2 or a 1, I'd be eternally grateful:
Spoiler:ShowQ1:Spoiler:ShowWrote down the equations of the tangents at P and Q, equated them and solve for the x and y coordinates in terms of p and q. Then for whatever reason, I kept writing pq = 4/9 instead of pq = 1. I don't even know. So couldn't get the 4y^2 = 3x  1 thing, although I did plug my x and y coordinates (in terms of p and q) into that equation, so maybe a mark for that.
Then, plugged in t^3 and t^2 into the curve to get a cubic in t^2, but then (for whatever reason, wrote down the wrong thing on the next line) so said that there were no roots.
Did the graph sketch, so correct shapes and stuff, but obviously drew them with no intersections.
Q3:Spoiler:ShowShould be a full, didn't investigate the possibility of there being a "double root" (i.e: tangent to the xaxis) for the even n case.
Q4:Spoiler:ShowDid the first (y cos  sin)^2 > 4(y1)^2 bit. Expanded the (ycos  sin)^2 bit (so might get a mark for that?) but otherwise didn't do the y^2 + 1 > 4(y1)^2 bit. (well I did, but it was incorrect...)
Then did the 4  sqrt(7) / 3 < y < 4 + sqrt(7) / 3 bit all correctly.
Did the show that bit in part (ii), i.e: if y = 4 + sqrt(7) / 3 then sqrt(y^2 + 1) = 2(y1) corretly, didn't even try finding x or tan theta.
Q6:Spoiler:ShowDid the first three bits flawlessly, differentiated v(x) in part (iv) and left it at that.
Q7:Spoiler:ShowDid it all, got up to 1/cos x (cos x + sin x) in the last integral, did a tsub but wrote down the wrong thing on the next line (happens too often...) so got the wrong answer, probably only dock two marks though.
Q8:Spoiler:ShowDid the first integral, the graph sketch, the first approximation all correctly. Then wrote 1 + sum from r=2 to infinity for the next approximation but my arithmetic failed me, so left it at that. Wrote 5/4 + sum from r=3 to infinity for the next approximation but my arithmetic failed me, so left it at that.
Did the bit about 1/(4r^4) approximating the integral (although I didn't work through all the algebra, so dock a mark or two here) and then didn't even try the last part.Last edited by Zacken; 17062016 at 12:35. 
EnglishMuon
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 17062016 12:41
(Original post by Zacken)
If somebody could put my mind to rest as to whether I got a 2 or a 1, I'd be eternally grateful: 
Zacken
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 17062016 12:42
(Original post by EnglishMuon)
nah thats definitely a 1. Even without q1 I think you'd get high 70s.Last edited by Zacken; 17062016 at 12:46. 
EnglishMuon
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 17062016 12:45
(Original post by Zacken)
How come? I'm pegging myself at low 70's even with 70's. 
computerkid
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 17062016 12:48
Could anyone possibly tell me how close is this above/below a 1?
Spoiler:ShowQuestion 1  full other than messed up the y coordinate for the points where they touched by being careless
Question 2  showed that b+ac is a factor
Question 3  differentiated fn to give fn1
Question 4  did everything but finding values of x and tan theta
Question 6  full
Question 7  fullLast edited by computerkid; 17062016 at 12:54. 
IrrationalRoot
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 17062016 12:49
(Original post by Zacken)
How come? I'm pegging myself at low 70's even with Q1.
Pretty sure I got a 1 but not an S.
Seems unfair that you're not getting S's in these though with how good you are .
Hopefully STEP III goes well. 
krishdesai7
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 17062016 12:51
(Original post by Zacken)
If somebody could put my mind to rest as to whether I got a 2 or a 1, I'd be eternally grateful: 
IrrationalRoot
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 17062016 12:52
(Original post by ComputerMaths97)
Being honest if you found a paper tough  it was a tough paper. I'd bet anything that you've done much better that 2 fulls and 4 partials in STEP II papers plenty of times before, so you should be expecting lower grade boundaries no? Did you find it considerably harder that usual ones?
Since when was it so hard to finish a DE question??? 
Gunawardana
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 17062016 12:54
(Original post by Gunawardana)
That was one rough STEP 2 exam  here's what happened to me:
Q1 Decided to start here but couldnt see the point (i.e couldnt interpret the 90 degree thing and kept staring at the question for a while) and so just wrote down tangents using general points (p^2,p^3) and (q^2,q^3) and then realised that p=1/q and finally got the equation. Then found the graphs touch at x=0.5 (is this correct?) and drew graphs (hopefully fine). But the time penalty caused in the beginning haunted me through the whole exam.
&amp;amp;amp;amp;amp;amp;amp ;amp;lt;br&amp;amp;amp;amp;a mp;amp;amp;amp;gt;Q7 Did the intro, (i) and (ii) but got stuck midway in (iii) when I got to a step where i had to integrate an expression very similar to (iv) but with x=u/2 (is this supposed to happen?) and so couldnt do (iv) either but wrote down a substitution for (iv). The time penalty from before was still in action so I had to leave the Q at this point.
Q6 This wasnt very nice towards the end. Did (i) and (ii) and found y2n thing in (iii) but couldnt do the show that in (iii) correctly after attempting to differentiate z(x). In (iv) I just differentiated v(x) and tried creating a differential equation but failed.
Q9 Did (i) correctly but got nowhere really in (ii). I dont know whether my methods were correct in (ii) or whether there were errors in that as well. I just tried to use momentum once and tried doing something for b and c after that (attempted to use a relative acceleration but idk whether thats correct) but I didnt get too far.
Q4  Did the first part (hopefully correctly) and the show that in (ii) I think I tried to find x and tan(theta) after that but failed and left the Q.
Q11 With a bare 20 min left I took this up hoping to do at least (i) but I got lucky and managed to do both (i) and (ii) except for the final explanation which I didnt get (and at which point I had just 2 min or so left which wasnt helping my brain) so i guess this Q can be called an almost full maybe?
Anyways what do u guys think I'll get ? 
Zacken
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 17062016 12:54
(Original post by EnglishMuon)
well i mean, could you let me know how many marks u were thinking of for each question? Id be good to see if Ive been too generous/stingy etc. in places
Then cut myself 2 marks in Q3 for a dubious justification of the even n case.
Gave myself 9 marks in Q4 for what I've listed, given that I did the y^2 + 1 > 4(y1)^2 bit wrong and didn't try finding x or tan theta.
12 marks in Q6 for doing the first three parts and not the last (iv) part.
17 marks in Q7 for doing pretty much all of it but slipped at the end of the last integral.
9 marks in Q8 for the measly attempt I have. 
Remyxomatosis
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 17062016 12:55
Can an S in STEP 1 make up for a high 2 in STEP 2? That is, supposing that STEP 3 goes to plan...

Zacken
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 17062016 12:55
(Original post by Gunawardana)
Did I get a 1 with this? 
Gunawardana
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 17062016 12:59
(Original post by Zacken)
Certainly. 
sweeneyrod
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 17062016 12:59
(Original post by Zacken)
I cut myself 11 marks in Q1 for doing the cubic wrong, not showing the graphs intersect and not showing the locus. i.e: only 9 marks for writing down the tangents to the curves, equating them and solving for x and y, and writing down a cubic and getting the shapes of the graph right.
Then cut myself 2 marks in Q3 for a dubious justification of the even n case.
Gave myself 9 marks in Q4 for what I've listed, given that I did the y^2 + 1 > 4(y1)^2 bit wrong and didn't try finding x or tan theta.
12 marks in Q6 for doing the first three parts and not the last (iv) part.
17 marks in Q7 for doing pretty much all of it but slipped at the end of the last integral.
9 marks in Q8 for the measly attempt I have. 
Zacken
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 17062016 12:59
(Original post by IrrationalRoot)
Wow it seems like we both have a problem with exam conditions, I also underperformed, got only 1 full solution (integration in less than 20 mins lol) and then did as much of 5 others as I could. Luckily I got an almost full in Q3 (or whatever the one with the almost e^x series was) at the end.
Pretty sure I got a 1 but not an S.
Seems unfair that you're not getting S's in these though with how good you are .
Hopefully STEP III goes well.
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