(Finalised) Official BOS Mathematics Trial Examinations. (3 Viewers)

Carrotsticks · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Thanks man. I enjoy writing cool questions as much as you guys enjoy doing them.

bleakarcher · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Carrotsticks said:
Thanks man. I enjoy writing cool questions as much as you guys enjoy doing them.

Carrot, the angles refer to the ones inclined on the positive x-axis right?

Carrotsticks · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Yep, or negative X axis depending on how it is constructed.

Sy123 · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

MAYBE SPOLERS

$c) \ Let \ \ A(2am, am^2) \ \ B(2ab, ab^2) \ \ C(2ac, ac^2) \ \ D(2ad, ad^2) \\ \\ m_AB=\frac{b+m}{2a} \\ \therefore \tan \theta _{AB} = \frac{b+m}{2a} \\ \\ \therefore \cot \theta _{AB}=\frac{2a}{b+m} \\ \\ \cot \theta_{CD}=\frac{2a}{c+d} \ \ \ \cot \theta _{BC}=\frac{2a}{b+c} \ \ \cot \theta_{DA}= \frac{2a}{m+d}$

$\cot \theta_{AB}+ \cot \theta _{CD}=\frac{2a(b+c+d+m)}{bc+bd+mc+md} \\ \\ \cot \theta _{BC}+\cot \theta_{DA}=\frac{2a(b+c+d+m)}{bc+bd+mc+md} \\ \\ \therefore LHS=RHS$

Straightforward, will latex next solution up soon

Sy123 · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

MAYBE SPOILERS

Part (i)
$y=-0.5gt^2+Vt\sin \theta \\ \dot{y}=-gt+V\sin \theta \\ t_{A}=\frac{V\sin \theta}{g} \ \ : [1] \ \ $Max height occurs at this time for projection A$ \\ \\ $Projection of B$ \\ x=Vt \ \ y=-0.5t^2+h \\ y=0 \Rightarrow \ \ \ t=\sqrt{\frac{2h}{g}} \\ y_{A}=h \ \ t=[1] \\ \\ \therefore h=\frac{V^2 \sin^2 \theta}{2g} \ \ :[2] \\ \\ \therefore t_{B}=\sqrt{\frac{2([2]}{g}}=\frac{V \sin \theta}{g} \\ \\ \therefore t_{A}=t_{B}$

Part (ii)

$B: x=Vt \ \ t=\frac{V \sin \theta}{g} \rightarrow x_B=\frac{V^2 \sin \theta}{g} \\ \\ A: x_A=V \cos \theta (\frac{V \sin \theta}{g} \\ x_A=\frac{V^2 \sin \theta \cos \theta}{g} \\ \\ x_B>x_A \ \ \ \ $Since$ \ \ \cos \theta<1 \\ \\ \therefore x_B-x_A=\frac{V^2 \sin \theta}{g}(1-\cos \theta)$

Sy123 · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Will the questions be harder than this? Or relatively the same difficulty, or...MX2 Harder 3U difficulty?

Carrotsticks · Sep 6, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Yep the projectile motion Q I replaced is considerably more difficult, and some questions you really gotta think about it to do them.

3U can only get so difficult, whereas 4U is a whole different story.

Sanjeet · Sep 7, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

What raw mark are you expecting from E4 students?

Carrotsticks · Sep 7, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Very difficult to tell I'm afraid.

seanieg89 · Sep 7, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

100 or give up at life.

asianese · Sep 7, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

seanieg89 said:
100 or give up at life.

This.

lol i'll most likely blank out and ph41l

Nooblet94 · Sep 7, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Carrot, can you put me on the attending list please?

study-me-alot · Sep 11, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

i would like to come along !

ademb13 · Sep 15, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Count me in too, do we have to do anything to go or bring money etc?

Carrotsticks · Sep 15, 2012

Re: Official BOS Mathematics Trial Examinations: Spring Edition.

Nope you do not need to bring any money or anything. Just yourself and the usual stuff for an exam.

On Monday, I will be going to the Library to see if I can move it to the 1st week or maybe 2nd week of holidays.

Carrotsticks · Sep 19, 2012

Okay, so everything has now been finalised.

What:

A difficult Extension 1 and Extension 2 paper, aimed primarily at people wanting a challenge. I will personally mark every single paper to HSC Standard (I work with some senior HSC markers, so I am familiar with the marking process), and I will record the marks and PM them to you.

I will organise a time for you to come and collect your paper again. There will be NO opportunities to 'scab marks', because everybody will be marked equally.

When:

Monday 24th September (Extension 1 Mathematics 10:30am) and Wednesday 26th September (Extension 2 Mathematics 11am).

Where:

Parramatta Library top floor.

What to bring:

Usual examination materials such as pens, pencil, ruler, eraser, compass etc.

Attendance list:

nightweaver066	deswa1	gr_111	Sanjeet	Beaconite
jackerino	Sindivyn	shinningstar	Stever1820	asianese
Nooblet94	study-me-alot	suck-kent	deliciouscake	bleakarcher
RealiseNothing	Sy123	Siddy123	Arr0gance	Pfortune35
mraznboy	jeffwu95

If you have any further questions or wish to also attend, please post in this thread or send me a Private Message.

On the day of the paper, after the examination, I will make a thread to allow students to discuss the paper.

4025808 · Sep 19, 2012

Even if you want to scab marks, they won't count to your HSC anyway. Plus, no scabbing of marks allowed in HSC unless if someone counted it incorrectly. (I hope not)

As for me, QQ I won't be able to make it on that day. Got a matlab exam on that day

someth1ng · Sep 19, 2012

I want a spot!

Carrotsticks · Sep 19, 2012

Added you =)

And apologies for any confusion caused. Moving the posts somehow made my first post get shifted down, probably because they are arranged according to date.

Carrotsticks · Sep 19, 2012

Fixed up the post.

(Finalised) Official BOS Mathematics Trial Examinations. (3 Viewers)

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