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# STEP Prep Thread 2016 (Mark. II)

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1. Everyone here getting "Definite 1" or "high 2 or low 1" and I'm sitting here praying I got at least a 3
2. How on earth were we supposed to do the second part of Q8? I just subbed it in and "show"ed it, but I couldn't derive it. (The g(x) one)
3. (Original post by Zacken)
If you've got it, you could post it up on here if you want. That'd be helpful.
Can I send it to you via email so you can post it? I am on mobile right now, it would be easier if I email it to you.

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4. (Original post by ComputerMaths97)
How on earth were we supposed to do the second part of Q8? I just subbed it in and "show"ed it, but I couldn't derive it. (The g(x) one)
Well the previous part of ii kinda gave it away. You had to do what you did in part i with f(x) and f(-x) but this time you substituted x=(1-x)/(1+x) and you got another equation in terms of g(x) and g(1+x/1-x) which you could solve simultaneously

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5. (Original post by Insight314)
Can I send it to you via email so you can post it? I am on mobile right now, it would be easier if I email it to you.

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Sure, that works.
6. can someone post the Step II paper
7. (Original post by Zacken)
Sure, that works.
I sent it a while ago.

Also, shamika and physicsmaths both predict boundaries to be at around 65 for a 1 and 85 for an S. What do you think?

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8. It appears the III paper is on its way?
9. (Original post by Shekabi08)
can someone post the Step II paper
10. Anyone willing to estimate this?
Spoiler:
Show

I do not actually know the question numbers so bare with me.

Integration (reduction formula): Everything bar (ii) [I actually got tantalysingly close to this but didn't. Just assume it was all wrong]
Series: Everything, but I accidentally included the r = +/- 1 terms twice for the very final part so that is wrong.
Hyperbolic functions (forms Rcosh(x+a) etc.): Did the forms and found the points of intersection. Rushed down an answer to the next part but it is probably all wrong so ignore this.
Functional equation: All parts bar the final.
Conic: Found the coordinates of P, nothing else meaningful.
Integration (the other one, P(x)/Q(x)): Showed that (1+x) was a factor of Q(x) and decided this question was tedious so moved on. Apparently this was a bad decision as this was a nice question.

I'm thinking 3 probably. I don't think I've ever felt so helpless during an exam.
11. Can anyone predict/estimate my score
Q1 : full but skipping some steps
Q3 : only part (i)
Q4: (i) and (ii) are fine., unsure about the sum from minus infinity to inifinity but i got 2sech(1) + 4e^(-y)cosech(2y)
Q6 : full but very rushed so some parts might be sloppy
Q7 : full
Q8 : only part (i) and (ii)
I am hoping for an 1 for my offer, Thanks
12. (Original post by fa991)
Should this be enough for a 1

Q1: Did part 1 and 3
Made the substitution x+a =√b+a^2tanu and managed to get an expression to the power of n but not required result for part 2

Q2: did part i, worked out the required lines in part ii but not much more

Q3: first part complete and half or so of the second

Q5: did part i ii and iv

Q8 did all but last part. Evaluated hh(x) but didn't think to do hhh(x)

Q12 did first part, wrote down a poisson with mean n and narrowly ran out of time while I tried to manipulate it to achieve result

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14 + 6/7 + 16 + Q5 + 15 + Q12 = 52 + Q5 + Q12, sounds like a definite 1.

(Original post by maths52)
Can someone estimate my marks please,
1.) For ii.) Couldnt get the desired result missing an a^2 In+1 term but did part i.) And iii.)
2.) Did part i.)
3.) Last part slightly iffy lacked generality in argument.
4.) Couldnt get part i.) Saw method of differences but couldnt get result. Subbed in e^-2y and got final result.
7.) Got the first Z^n+1 result and got close to result for even n using first result.
8.) Got all of the results but not sure if used the correct method. For part ii.) I subbed in the g(x) and showed it satisfied the equation.

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14 + 4 + 15 + 7 + 12 + 10 = high 2 or low 1.
Spoiler:
Show
Q1: Did parts i) and ii). My working was quite messy though, scrawls everywhere. Started part iii), then just kinda gave up halfway and jumped to the result. I showed it was true for n=1, and wrote the induction conclusion.

Q2: I'm not sure how far I got on this one. Got part i), then I assume I got halfway through ii), got equation for QR and OP and tried to substitute, but didn't get the specific point.

Q8: Got i), and ii), after much head ache. I verified the solution at first for ii), but then managed to show it. Couldnt do iii).

Thank you!!
14. For question 1i I had the limits as pi/2 - c and - pi/2 + c where c>0 but infinitely small....

Then I just basically removed them from the final equation by saying they were small enough to ignore. I thought tan(pi/2) didn't have a solution, but I guess the infinity limits are meant more theoretically than literally. Oh well xD Hopefully I don't get 0 for that xD
15. (Original post by 16Characters....)
Anyone willing to estimate this?
Spoiler:
Show

I do not actually know the question numbers so bare with me.

Integration (reduction formula): Everything bar (ii) [I actually got tantalysingly close to this but didn't. Just assume it was all wrong]
Series: Everything, but I accidentally included the r = +/- 1 terms twice for the very final part so that is wrong.
Hyperbolic functions (forms Rcosh(x+a) etc.): Did the forms and found the points of intersection. Rushed down an answer to the next part but it is probably all wrong so ignore this.
Functional equation: All parts bar the final.
Conic: Found the coordinates of P, nothing else meaningful.
Integration (the other one, P(x)/Q(x)): Showed that (1+x) was a factor of Q(x) and decided this question was tedious so moved on. Apparently this was a bad decision as this was a nice question.

I'm thinking 3 probably. I don't think I've ever felt so helpless during an exam.

17 + 17 + 10 + 15 + 4 + 5 = pretty good 1.

(Original post by wlog54)
Can anyone predict/estimate my score
Q1 : full but skipping some steps
Q3 : only part (i)
Q4: (i) and (ii) are fine., unsure about the sum from minus infinity to inifinity but i got 2sech(1) + 4e^(-y)cosech(2y)
Q6 : full but very rushed so some parts might be sloppy
Q7 : full
Q8 : only part (i) and (ii)
I am hoping for an 1 for my offer, Thanks
18 + 12 + 18 + 15 + 20 + 14 = definite S.

(Original post by Chimaera)
Spoiler:
Show
Q1: Did parts i) and ii). My working was quite messy though, scrawls everywhere. Started part iii), then just kinda gave up halfway and jumped to the result. I showed it was true for n=1, and wrote the induction conclusion.

Q2: I'm not sure how far I got on this one. Got part i), then I assume I got halfway through ii), got equation for QR and OP and tried to substitute, but didn't get the specific point.

Q8: Got i), and ii), after much head ache. I verified the solution at first for ii), but then managed to show it. Couldnt do iii).

Thank you!!
14 + 10 + 14 = 38, a high 3?
16. Guys, was noticing in q8 that h(x) = 1/2 - x fundamentally wrong as an answer?
Also, did we all do the last part of the P(x)/Q(x) by a version of infinite descent?
Btw, Zacken, are you going to Trinity?
17. (Original post by Blackmagic123)
Guys, was noticing in q8 that h(x) = 1/2 - x fundamentally wrong as an answer?
Apparently so. That's what I did and was told that it wouldn't get me any/much marks.

Also, did we all do the last part of the P(x)/Q(x) by a version of infinite descent?
No. But that's a suitable method.
18. (Original post by Zacken)
14 + 10 + 14 = 38, a high 3?
Oh thank god. 🙏🏻 I passedddd

Do you think Imperial would take a 3,3? They asked for 1,2 :x Would my A2 results bear any weight in their decision, assuming I met/exceeded the A*A*AA requirement?
19. (Original post by Chimaera)
Oh thank god. 🙏🏻 I passedddd

Do you think Imperial would take a 3,3? They asked for 1,2 :x
I genuinely don't know and wouldn't want to comment on something I know nothing about, sorry.

Would my A2 results bear any weight in their decision, assuming I met/exceeded the A*A*AA requirement?
I believe so, yes.

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