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STEP 2016 Solutions

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Do we get the go-ahead now? Double checking

How did you do?
I got Q1,Q3,Q7 completely perfect. And Q8 right till the very last approximation so around 76 marks there. Then I had half the DE half the binomial and first part of the factorisation. So Im sitting on 90-95 ish.
What the **** was siklos thinking. He puts 1 geometry 1 vectors every year which gave me S grades and this year he decided to put no geometry and vectors(everybody else probably liked this) but no geometry and vectors really threw me off wudve given me a solid 100+ score 😔.

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Reply 61

username1162972

Here is a solution to the Integration yesterday!
ImageUploadedByStudent Room1466151672.567959.jpg

ImageUploadedByStudent Room1466151694.178942.jpg

There may be other ways to do the very last part but I couldn't find any that worked. I tried a t sub but it required use of tan(pi/8) which is.. Ugly.

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Reply 62

computerkid

3 fulls, 1 partial and the very first part of 2 questions enough to scrape a grade 1?

Reply 63

jjsnyder

Original post by computerkid

3 fulls, 1 partial and the very first part of 2 questions enough to scrape a grade 1?

For sure, I only got 1 full :frown:

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Reply 64

matthewdjones

How much do you think for a 1?

Reply 65

username1987

Any idea how the marks on Q7 will be divided? I was thinking 3,3,4,5,5 for parts 0-4... Also on Q6 how many marks do you think the last part will be worth?

Reply 66

savetheworms

Original post by physicsmaths

Here is a solution to the Integration yesterday!

There may be other ways to do the very last part but I couldn't find any that worked. I tried a t sub but it required use of tan(pi/8) which is.. Ugly.

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what was the exact question from the last part, I got a nice answer which I'll post just I can't remember the exact question?

Reply 67

Beddy

I got 2 fulls and 2 partials :/ is that grade 2 material?

Reply 68

jjsnyder

Original post by physicsmaths

Here is a solution to the Integration yesterday!
ImageUploadedByStudent Room1466151672.567959.jpg

There may be other ways to do the very last part but I couldn't find any that worked. I tried a t sub but it required use of tan(pi/8) which is.. Ugly.

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Literally just IBP on (III) solves it immediately

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Reply 69

riquix

Q9 from STEP 2. If someone could verify this I'd be grateful. About 90% certain I got it right.

Reply 70

gasfxekl

how many marks for the last part of binomial ?

Reply 71

username1162972

Original post by savetheworms

what was the exact question from the last part, I got a nice answer which I'll post just I can't remember the exact question?

I have a nice answer aswell. It was integral 0 to pi/4 of x/(cosx)(cosx+sinx)
I am saying what other ways were there other then mine cause First i tried t sub then after divide top bottom by cos^2(x) giving a nice solution.

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Reply 72

username1162972

Original post by Mathemagicien

I think I did reasonably well. I think I got 6 fairly solid fulls, and 1 not-so-solid full (question 1 - I hate graph sketching!) as backup. Possibly around 90-100?

I noticed the lack of geometry and vectors - I was quite pleased tbh - but we'll probably get them in STEP III :tongue:

Also, the stats question I did was amazingly simple. An absolute gift.

Still, don't you only need a 1? Or is your offer S,1?

Here are (my) solutions to questions 6, 13, and the summation one (done from memory, I haven't seen the question paper since the exam, so some minor details missing that I'll add in later)

Need S,1. Will be close in II.

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Reply 73

savetheworms

Original post by physicsmaths

I thought the last part was something like ln(1+tanx) ? sorry I have a rubbish memory lol

Reply 74

hoddie54

Using an energy method I got the same value of b. My c was different, but I think I was wrong on this part (Question 9)

Reply 75

username1162972

Original post by savetheworms

I thought the last part was something like ln(1+tanx) ? sorry I have a rubbish memory lol

That was second to last.

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Reply 76

ln(sec(x))

How did everyone find the paper compared to last year?

For me it was absolutely dire. I freaked out under the pressure and did really badly. I got a full solution to one question, and all of the first mechanics question (but stupidly left my answer in terms of M, m, u, R instead of a). I got all of the integration question except I got stuck at integrating 1/[cosx(cosx + sinx)] - I used a t substitution and was left floundering around. Then the rest of my "solutions" were basically me desperately trying to scrape marks together.

Unless grade boundaries are *really* low, I think that's me out :frown:

Reply 77

username1162972

Original post by Mathemagicien

I'm having difficulty reading your solution, so perhaps this is the method you did, however this is roughly what I did:

Note the last integral J is

\int \dfrac{x}{cosxcos(x-pi/4)*sqrt{2}}

so use formula to say J =

\int \dfrac{pi/4 - x}{cosxcos(x-pi/4)*sqrt{2}}

Then 2J = pi/4 *

\int \dfrac{1}{cosx cos (x-pi/4)*sqrt{2}}

from 0 to pi/8
then J = pi/8 *

\int \dfrac{1}{cos^2 x + sinxcosx}

then J = pi/4 *

\int \dfrac{1}{cos 2x + sin 2x + 1}

from 0 to pi/8then J = pi/8 *

\int \dfrac{1}{cos x + sin x + 1}

from 0 to pi/4then use t sub

I got to your line
J=pi/8 int (1/(cos^2(x)+sinxcosx)) then divide top and bottom by cos^2(x) giving sec^2(x)/(1+tanx) which is ln(1+tanx) yielding same answer as the line before that.

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Reply 78

student0042

Original post by jjsnyder

For sure, I only got 1 full :frown:

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Me too.

Q7 integration and the rest were either mostly full or just halfs. Q3,8 were nearly full and Q4,1,2 were halfs.

Reply 79

savetheworms

Original post by physicsmaths

That was second to last.

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oh then yeah i agree with what you put
did you remember to put +c i remembered literally seconds after walking out the exam hall urgh how much do you reckon they''ll penalise that?