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# STEP 2016 Solutions

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1. Anyone want to estimate how many marks, for Q9, a fully correct part (i), and a correct common speed and value of c+b [without R eliminated, but with a correct energy argument up to that point], but a very silly mistake giving incorrect c and b would be worth? Thanks.
2. (Original post by Farhan.Hanif93)
I'd expect around 5 or 6, as most of the question comes together in that last part and it's arguably the trickiest part. Although, I haven't really looked at the mark schemes that they've released in recent years so make of that what you will.
I think I rather missed the point of 'explaining' it in the exam, but I'm fairly confident my method was OK and it culminated in tana>tanb, just a bit of an algebra bash. I should be OK shouldn't I?
3. (Original post by Krollo)
I think I rather missed the point of 'explaining' it in the exam, but I'm fairly confident my method was OK and it culminated in tana>tanb, just a bit of an algebra bash. I should be OK shouldn't I?
You should be, provided you made reference to part (i). Out of interest, did you find a way to use the result from part (i) itself? I couldn't see any such approach.
4. (Original post by Farhan.Hanif93)
You should be, provided you made reference to part (i). Out of interest, did you find a way to use the result from part (i) itself? I couldn't see any such approach.
I definitely remember using the result from (i) in my putative explanation (and I think the inequality from (ii)), and I suppose it can't have been that wrong if I got it down to tana>tanb or whatever. It's slightly alarming how much I've forgotten since Thursday; I shall try and rederive my argument from what I remember.
5. Q1. Full.
Q2. Just the first part for factor theorem. I was running out of time and decided to do Q3 instead.
Q3. Got everything until the part that asked that the polynomial cannot have more than 1 real root. I then stated the even and odd cases correctly but had an incorrect argument.
Q4. I solved everything but ended up with a very weird approach for tangent and only got x = -1. The claim the the equation had equal real roots is stated though.
Q6. First three parts full. I then let k = mn and found v'(x) but couldn't continue past that. I began with this in the exam and wasted 15 minutes stupidly trying solving the DE. I think I could've fared better in Q3 otherwise.
Q7. Full.
Is a high 70 / low 80 score possible? I would be very happy with a 1.
6. (Original post by Devinky)
Is a high 70 / low 80 score possible? I would be very happy with a 1.
high-80's/low 90's, more than certainly a 1. I'm envious. Congratulations.
7. STEP II
1. Poor but a lot of working.
3. I answered it all apart from showing there was only a max of 1 real root (I explained odd and even cases)
6. Did i) and ii) - attempted iii) - first two part were fairly easy to show probably not many marks.
8. did a lot of working but not many results - I showed E=2
9. Got part i) correct and a lot of working in ii) leading to a probably incorrect answer
11. I showed everything so I'm pretty sure this was full
Is a 2 or a 3 realistic?
8. (Original post by almostover)
STEP II
1. Poor but a lot of working.
3. I answered it all apart from showing there was only a max of 1 real root (I explained odd and even cases)
6. Did i) and ii) - attempted iii) - first two part were fairly easy to show probably not many marks.
8. did a lot of working but not many results - I showed E=2
9. Got part i) correct and a lot of working in ii) leading to a probably incorrect answer
11. I showed everything so I'm pretty sure this was full
Is a 2 or a 3 realistic?
It's kind of hard to tell what 'a lot of working' constitutes as.
Q1 5-15 Marks??
Q3 16
Q6 5/6
Q8 7
Q9 10?
Q11 20
Mark: 63-74
Likely a 2 but hard to say, with your description it is very hard to guess a mark.
? is guesstimate ?? Is plucked from thin air

Posted from TSR Mobile
9. (Original post by jjsnyder)
It's kind of hard to tell what 'a lot of working' constitutes as.
Q1 5-15 Marks??
Q3 16
Q6 5/6
Q8 7
Q9 10?
Q11 20
Mark: 63-74
Likely a 2 but hard to say, with your description it is very hard to guess a mark.
? is guesstimate ?? Is plucked from thin air

Posted from TSR Mobile
I'm pretty sure question 1 will be about 5 because I didn't really make any progress I just got an equation of a line and equated it to something and also found gradients.
With 9ii) I'm pretty sure my method was valid but I messed up one of the accelerations because i did not take into account that the bullet's mass would increase the total body's mass so I missed an m but I have no idea how many marks this would contribute - especially as most people did a different method.

Thank You
10. Hey guys,

I just registered on this page and I've got two questions I'd be grateful for an answer to:

1) How many points do you think part iii) of problem 5 and last line of problem 12 will be worth, respectively?

2) Did you also find this STEP significantly harder than all the recent ones, or was it just the effect time and psychological pressure had on me? At home, on a mock I did, I did much better.

3) "Fun question" - what do you think will be the least popular problem?

I need to get a 1 here and I'd lie if I said I didn't expect to manage, but hearing this from someone else would make me feel much calmer - that's just how I am. I'm not trying to humble-brag and I'm really sympathetic for people who will turn out to have done worse than me.

Cause other than problems 5 & 12 I'm hoping for about 70-80 points for other 4 problems. I'm hoping to only lose a few points for not explaining everything thoroughly enough - I was in a real hurry, but I'm pretty sure that the solutions were right.

Cheers
11. (Original post by mir0slaw)
Hey guys,

I just registered on this page and I've got two questions I'd be grateful for an answer to:

1) How many points do you think part iii) of problem 5 and last line of problem 12 will be worth, respectively?

2) Did you also find this STEP significantly harder than all the recent ones, or was it just the effect time and psychological pressure had on me? At home, on a mock I did, I did much better.

3) "Fun question" - what do you think will be the least popular problem?

I need to get a 1 here and I'd lie if I said I didn't expect to manage, but hearing this from someone else would make me feel much calmer - that's just how I am. I'm not trying to humble-brag and I'm really sympathetic for people who will turn out to have done worse than me.

Cause other than problems 5 & 12 I'm hoping for about 70-80 points for other 4 problems. I'm hoping to only lose a few points for not explaining everything thoroughly enough - I was in a real hurry, but I'm pretty sure that the solutions were right.

Cheers
I believe the general consensus is that it was an average paper
Probably Question 10. Statistics seemed to have had more attempts than usual and the other two mechanics seem popular on here. None of the pure were especially off putting (probably because of no geometry)
12. (Original post by matthewdjones)
I believe the general consensus is that it was an average paper
Probably Question 10. Statistics seemed to have had more attempts than usual and the other two mechanics seem popular on here. None of the pure were especially off putting (probably because of no geometry)
q10 was the easiest mech question imo, it was basically just finding the centre of mass of the triangle
13. (Original post by StrangeBanana)
q10 was the easiest mech question imo, it was basically just finding the centre of mass of the triangle
It may have been ahah! statics put people off the most in mechanics imo and there doesn't seem to be that many people discussing it on here. While on the other hand I've seen many posts about 12,13, 9 and to a smaller extent 11 (rather surprisingly as it was a fairly nice projectiles question!)
14. (Original post by ThatPerson)
Alternate solution to STEP II Q7 (iv).
Alternate one which I'm surprised no one else did:
IBP with x and 1/cosx(cosx+sinx), antiderivative of 1/cosx(cosx+sinx) is ln(1+tanx), result follows.
15. (Original post by IrrationalRoot)
Alternate one which I'm surprised no one else did:
IBP with x and 1/cosx(cosx+sinx), antiderivative of 1/cosx(cosx+sinx) is ln(1+tanx), result follows.
sorry i had not asked, how did the exam go for you? hope it went well.
16. (Original post by mir0slaw)
Hey guys,

I just registered on this page and I've got two questions I'd be grateful for an answer to:

1) How many points do you think part iii) of problem 5 and last line of problem 12 will be worth, respectively?

2) Did you also find this STEP significantly harder than all the recent ones, or was it just the effect time and psychological pressure had on me? At home, on a mock I did, I did much better.

3) "Fun question" - what do you think will be the least popular problem?

I need to get a 1 here and I'd lie if I said I didn't expect to manage, but hearing this from someone else would make me feel much calmer - that's just how I am. I'm not trying to humble-brag and I'm really sympathetic for people who will turn out to have done worse than me.

Cause other than problems 5 & 12 I'm hoping for about 70-80 points for other 4 problems. I'm hoping to only lose a few points for not explaining everything thoroughly enough - I was in a real hurry, but I'm pretty sure that the solutions were right.

Cheers
Last line of 12, I think 2-5 marks. If you've got 70 marks across the other 4 questions you are pretty much guaranteed a 1 and quite possibly an S, so well done!
17. (Original post by sweeneyrod)
well done!
Thanks! I hope I haven't done any super silly mistakes I couldn't notice. How did it go for you?
18. (Original post by mir0slaw)
Thanks! I hope I haven't done any super silly mistakes I couldn't notice. How did it go for you?
Pretty good I think, should have got high 70's, so a 1.
19. Sorry if this has already been answered but I was wondering how many marks I would lose for getting factorization wrong in the last part of q2, and hence only getting one of the right values for x. I did choose x,1,2,3 though and everything else was right.

physicsmaths

Zacken

I don't really know why I'm quoting you two in particular but you seem to be practised estimators, and also my posts seem to get drowned out quite quickly by other posts so, while I hate to be a nuisance, it would be really helpful if someone could take a look.

Thanks.
20. A bit late for this post,

But for STEP 1's question 2, if I differentiate the given giant equation correctly, and manage to solve part (ii) correctly using an FP3 substitution (let x=sinhu) is that acceptable?

I failed to solve part (i) and part (iii) completely. How many marks should I get out of 20 for that, you guys think, approximately?

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Updated: July 25, 2016
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