Getting to Cambridge: STEP by STEP!

June 2012 FP3:

Total time: 50:00 Total Raw: 74 Total UMS: 100

Q1: How was this even a question? It's just reading things out from the formula booklet. 1:00
Q2: Nice answer. Took some time showing all my working since it was a 'show that', also used specific values of $a$ to check my answer at the end. 4:20 (blaze it)
Q3: Computational shmoozle. 4:00
Q4: Nice double integration by parts, not much to it, really. 7:00
Q5: Reminds me of my IGCSE Add Maths, we used to get question like these. 8:00
Q6: Skipped this and came back to it at the end.
Q7: Bunch of C3 exponential work and some recognition. 6:20
Q8: Easy matrices question with nice numbers that makes things very simple. 4:00
Q6: So - this was ugly. Did the first part easily, second part took some care with not messing up the algebra. Third part was ****ing ********. I kept checking my answer over and over again since it didn't contain $b$ whilst the question clearly said that you needed to give your answer in terms of $a, b$ and $\theta$. Did the question over again as well, got the same answer. Finally just left it and it ended up being correct. Had 0 clue what was going on for last part. I just said $y=0$ and left it at that. I've got no clue how the $|x| \geq a$ thing works, still don't after the markscheme, to be honest. Slightly annoyed at myself because I lost a mark for not understanding something over a silly mistake. Spent about fifteen to twenty minutes on this one, not amused at all.

Hey Zacken - moved on to the 2ODE = f(x) today and damn I had a lot of fun! This is definitely my favourite maths topic ever

June 2012 FP3:

Total time: 50:00 Total Raw: 74 Total UMS: 100

Q1: How was this even a question? It's just reading things out from the formula booklet. 1:00
Q2: Nice answer. Took some time showing all my working since it was a 'show that', also used specific values of $a$ to check my answer at the end. 4:20 (blaze it)
Q3: Computational shmoozle. 4:00
Q4: Nice double integration by parts, not much to it, really. 7:00
Q5: Reminds me of my IGCSE Add Maths, we used to get question like these. 8:00
Q6: Skipped this and came back to it at the end.
Q7: Bunch of C3 exponential work and some recognition. 6:20
Q8: Easy matrices question with nice numbers that makes things very simple. 4:00
Q6: So - this was ugly. Did the first part easily, second part took some care with not messing up the algebra. Third part was ****ing ********. I kept checking my answer over and over again since it didn't contain $b$ whilst the question clearly said that you needed to give your answer in terms of $a, b$ and $\theta$. Did the question over again as well, got the same answer. Finally just left it and it ended up being correct. Had 0 clue what was going on for last part. I just said $y=0$ and left it at that. I've got no clue how the $|x| \geq a$ thing works, still don't after the markscheme, to be honest. Slightly annoyed at myself because I lost a mark for not understanding something over a silly mistake. Spent about fifteen to twenty minutes on this one, not amused at all.

Did you finish already? Wouldn't be surprised tbh

that's what she said

What makes you like it so much?

BTW, when's your blog going up?

that's what she said

Jeez Ayman, you're on fire.

i thought you were giving a mock boy 😒

Just how it all fits together so nicely - I dunno I to be honest. I think it's such a beautiful topic

I actually wrote the thing yesterday but I'm really embarrassed to put it up because it sounds quite cheesy

Ah, yeah. Fair enough, have you done the thing with terms that appear in your complimentary function that would also go into your particular integral so you need to change your particular integral to something else?

Put it up!!

Yeah I did That was a very interesting point. Frankly I don't think our teacher understood how to teach it fully (I'll give it to him since this is the first time he's ever taught FP2) but it was easy to see why we do so - quite interesting indeed!

Hmm :/ I kinda wish I could make another account just for the blog because I don't want too many people reading it xD I know that goes against the point of a blog but Or I could put it on blogspot as a compromise? I dunno what to do!

June 2012 FP3:

Total time: 50:00 Total Raw: 74 Total UMS: 100

Q1: How was this even a question? It's just reading things out from the formula booklet. 1:00
Q2: Nice answer. Took some time showing all my working since it was a 'show that', also used specific values of $a$ to check my answer at the end. 4:20 (blaze it)
Q3: Computational shmoozle. 4:00
Q4: Nice double integration by parts, not much to it, really. 7:00
Q5: Reminds me of my IGCSE Add Maths, we used to get question like these. 8:00
Q6: Skipped this and came back to it at the end.
Q7: Bunch of C3 exponential work and some recognition. 6:20
Q8: Easy matrices question with nice numbers that makes things very simple. 4:00
Q6: So - this was ugly. Did the first part easily, second part took some care with not messing up the algebra. Third part was ****ing ********. I kept checking my answer over and over again since it didn't contain $b$ whilst the question clearly said that you needed to give your answer in terms of $a, b$ and $\theta$. Did the question over again as well, got the same answer. Finally just left it and it ended up being correct. Had 0 clue what was going on for last part. I just said $y=0$ and left it at that. I've got no clue how the $|x| \geq a$ thing works, still don't after the markscheme, to be honest. Slightly annoyed at myself because I lost a mark for not understanding something over a silly mistake. Spent about fifteen to twenty minutes on this one, not amused at all.

that's what she said

for 6c you got R to have coordinates $\displaystyle \left(\frac{a}{\cos\theta},0 \right)$ right?

So for 6d, the x coordinate of R has the form $x = \displaystyle \frac{a}{\cos\theta}$, and obviously the y coordinate of R is zero always.

So considering the range of $\displaystyle \cos\theta$ as theta varies; $\displaystyle -1 \leq \cos\theta \leq 1$

and therefore the range of x values R can take as theta varies is $\displaystyle x \geq a$ and $\displaystyle x \leq -a$

So the locus of R is the line $\displaystyle y=0$ with $\displaystyle |x| \geq a$

...

dyl dyl to the rescue