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# STEP Prep Thread 2016 (Mark. II)

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1. (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.

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.

&amp;amp;amp;amp;amp;amp;amp;amp ;amp;amp;amp;amp;amp;amp;amp;amp ;amp;lt;br&amp;amp;amp;amp;amp;a mp;amp;amp;amp;amp;amp;amp;amp;a mp;amp;amp;amp;gt;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 ?
1-18-20 (check the graphs on wolfram)
7- 12-13
6- 10
11- 15-16 (felt maybe the last part was the important part bringing i) and ii) together of the question but idk)
2. Can someone please explain how you draw graphs when there's tons of variables?

Like the fn(x) one? Drawing the graph for a specific n value is hard enough how do you draw a general graph to cover all n values??

All I was able to see is that if n = infinity then f(x) was the exponential graph but that's not going to help
People who did 12, if the answer they gave you for the probability of at least 1 out of n being in its correct place is f(n), then isnt the probability of exactly one being in its right place n(1-f(n-1)) as you choose 1 card to be in its right place in n ways then times by the chance that all the other n-1 are in the wrong place?
sweeneyrod did 12 I think?
4. (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?
I usually fail in exam conditions, every single one of my exams this year, be it A-Level or STEP have been a disappointment. It seems like other people seem to have fared okay though, so I wouldn't use my own experience. I'm just retarded.
5. (Original post by ComputerMaths97)
Can someone please explain how you draw graphs when there's tons of variables?

Like the fn(x) one? Drawing the graph for a specific n value is hard enough how do you draw a general graph to cover all n values??
you didn't need to
you needed to do sketches about parts where the roots a and b were. the rest of the graph was irrelevant
6. (Original post by matthewdjones)
you didn't need to
you needed to do sketches about parts where the roots a and b were. the rest of the graph was irrelevant
But how? Am I missing something here?
7. (Original post by ComputerMaths97)
Can someone please explain how you draw graphs when there's tons of variables?

Like the fn(x) one? Drawing the graph for a specific n value is hard enough how do you draw a general graph to cover all n values??

All I was able to see is that if n = infinity then f(x) was the exponential graph but that's not going to help
Which question?

Edit: Ah, I remember. That was a nice question! No, just sketch around the roots a and b, not the entire graph. We know the gradient, so...
8. (Original post by matthewdjones)
1-18-20 (check the graphs on wolfram)
7- 12-13
6- 10
11- 15-16 (felt maybe the last part was the important part bringing i) and ii) together of the question but idk)
Thanks yeah I'll check

EDIT : Do you think I missed out on any easier pure question(s)?
9. (Original post by Mathemagicien)
Which question?
3 I think

Posted from TSR Mobile
People who did 12, if the answer they gave you for the probability of at least 1 out of n being in its correct place is f(n), then isnt the probability of exactly one being in its right place n(1-f(n-1)) as you choose 1 card to be in its right place in n ways then times by the chance that all the other n-1 are in the wrong place?
I did question 12, and someone else agreed with me that it is just (1 - f(n-1)).

n cards that can be chosen * 1/n probability that chosen card is in the right place * (1 - f(n-1)) probability that others are in the wrong place.
11. (Original post by Zacken)
I usually fail in exam conditions, every single one of my exams this year, be it A-Level or STEP have been a disappointment. It seems like other people seem to have fared okay though, so I wouldn't use my own experience. I'm just retarded.
Ah damn that's tough, why do you think that is? I've always hated the idea of revising for 100's of hours but how good you are being determined on 1 morning in 90 minutes. Should be more exams in an ideal world but there's just not the resources for that until we get computers marking stuff.
12. (Original post by ComputerMaths97)
But how? Am I missing something here?
by considering tje sign of the derivative
13. (Original post by Mathemagicien)
Which question?

Edit: Ah, I remember. That was a nice question! No, just sketch around the roots a and b, not the entire graph. We know the gradient, so...
It was the best question on the paper! How did you do the sketch? I drew little lines through (a, 0) and (b, 0) with the correct gradient in each of the two cases, and then connected them with a dotted line through (c, 0).
14. Did anyone get values for x and tan theta for the trig inequalities question? Also how many marks dropped for doing everything but finding the values?
15. (Original post by Zacken)
I usually fail in exam conditions, every single one of my exams this year, be it A-Level or STEP have been a disappointment. It seems like other people seem to have fared okay though, so I wouldn't use my own experience. I'm just retarded.
Going through the same thing, it's like my brain just goes off at certain points and I make mistakes a 6 year old could spot

Posted from TSR Mobile
16. (Original post by Mathemagicien)
Which question?

Edit: Ah, I remember. That was a nice question! No, just sketch around the roots a and b, not the entire graph. We know the gradient, so...
Yeah it was an incredibly nice question (got up to the sketching part in about 5 minutes) but I was stuck for ages.

I just did not understand it lol, originally I thought it would be some zigzag pattern but I had no clue
17. (Original post by Zacken)
I'm just retarded.
That isnt true at all. All of us mess up under stress at times and from what I've seen of you on tsr, you're very bright. I'm sure you'll do amazingly at the STEP, and it'll be lovely to see you at Cambridge this fall
18. (Original post by computerkid)
Did anyone get values for x and tan theta for the trig inequalities question? Also how many marks dropped for doing everything but finding the values?
x=+-1 and tan theta is -1/y i think.
19. (Original post by Gunawardana)
Thanks yeah I'll check

EDIT : Do you think I missed out on any easier pure question(s)?
3 was fairly straightforward. There was no other "easier" pure questions imo. But I wouldn't worry about things like that
20. (Original post by sweeneyrod)
It was the best question on the paper! How did you do the sketch? I drew little lines through (a, 0) and (b, 0) with the correct gradient in each of the two cases, and then connected them with a dotted line through (c, 0).
I did the same, but a full line, rather than dotted (probably a mistake in hindsight)

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