ATAR Notes: Forum

Archived Discussion => 2010 => End-of-year exams => Exam Discussion => Victoria => Mathematical Methods CAS => Topic started by: kepal5 on November 08, 2010, 02:09:48 pm

Title: Oh god Pyramid of Death
Post by: kepal5 on November 08, 2010, 02:09:48 pm
How did u guise do the pyramid of death question lol
Title: Re: Oh god Pyramid of Death
Post by: AzureBlue on November 08, 2010, 02:17:25 pm
There's a pyramid of death now? Sounds like yet another interesting exam!
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 02:18:42 pm
LOLLLLLLLLLL THAT WAS FKIN A JOKE
Title: Re: Oh god Pyramid of Death
Post by: AzureBlue on November 08, 2010, 02:19:48 pm
Was there a question about Tasmania Jones falling into a pyramid of death? That would be cool :D
Does anyone have a scanned copy of the exam yet?
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 02:20:11 pm
It was victoria jones this time, but it was in probability.

Title: Re: Oh god Pyramid of Death
Post by: AzureBlue on November 08, 2010, 02:21:28 pm
Ah, so Tasmania Jones' brother? How did they manage to fit a pyramid into a probability question?
Title: Re: Oh god Pyramid of Death
Post by: ZachCharge on November 08, 2010, 02:22:52 pm
Separate questions, Victoria Jones started cashing on on Tasmania's success and mass produced the statue that I assume nearly fell in acid few years back, pyramid questions were about...pyramids from an ancient society that is not named for Ra knows what...
Title: Re: Oh god Pyramid of Death
Post by: year12 on November 08, 2010, 02:24:56 pm
Finding the height of the pyramid was tricky. I used Pythagoras' theorem,,, anyone else?
Title: Re: Oh god Pyramid of Death
Post by: Stormer on November 08, 2010, 02:25:19 pm
Yeah, it was pythagoras.
Title: Re: Oh god Pyramid of Death
Post by: eddie10 on November 08, 2010, 02:26:15 pm
haha I laughed on seeing the pyramid of death after the prediction yesterday
Title: Re: Oh god Pyramid of Death
Post by: samiira on November 08, 2010, 02:38:01 pm
F U vcaa and the jones family!!!
Title: Re: Oh god Pyramid of Death
Post by: sajib_mostofa on November 08, 2010, 02:40:53 pm
In terms of difficulty, anyone think that it was similiar to 2007?
Title: Re: Oh god Pyramid of Death
Post by: John President on November 08, 2010, 02:41:55 pm
haha I laughed on seeing the pyramid of death after the prediction yesterday
It's ironic, because it was LITERALLY a pyramid of death as the Egyptian pharaohs were buried in them :P
Title: Re: Oh god Pyramid of Death
Post by: JinXi on November 08, 2010, 02:42:42 pm
lolol pyramid of Death... at least it was in the study design unlike it's brother.
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 02:44:00 pm
pretty sure i got 80/80.
Title: Re: Oh god Pyramid of Death
Post by: kenhung123 on November 08, 2010, 02:44:47 pm
haha I laughed on seeing the pyramid of death after the prediction yesterday
It's ironic, because it was LITERALLY a pyramid of death as the Egyptian pharaohs were buried in them :P
HAHAHAHAHA
Title: Re: Oh god Pyramid of Death
Post by: John President on November 08, 2010, 02:45:01 pm
pretty sure i got 80/80.
Don't count your pyramids before they've been built :P
Title: Re: Oh god Pyramid of Death
Post by: minimum on November 08, 2010, 02:45:32 pm
It was hardddddddddddddddddddddddd.....
couldn't they have made it easier as it was beginning of CAS. Feel like a freakin' guinea pig.
STUPID VCAA. :tickedoff:
Title: Re: Oh god Pyramid of Death
Post by: kazekage on November 08, 2010, 02:51:32 pm
Anyone else throw away 13 marks?
Title: Re: Oh god Pyramid of Death
Post by: kiraxxx on November 08, 2010, 03:04:37 pm
Anyone else throw away 13 marks?

yep and perhaps more ><
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 03:06:02 pm
pretty sure i got 80/80.
Don't count your pyramids before they've been built :P

its more like 40/80 :p
Title: Re: Oh god Pyramid of Death
Post by: homedog on November 08, 2010, 03:06:29 pm
did anyone get no solution to the value of x? because that was my calc and everyone else's calc gave, so no one could finish that q or do the next one. AHHH. HARDEST EXAM EVER. and i thought vcaa ones were meant to be easier than the trial exams.
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 03:07:17 pm
i got an answer the length of the page for the volume of the pyrmid LOL
Title: Re: Oh god Pyramid of Death
Post by: 98.40_for_sure on November 08, 2010, 03:07:52 pm
i got an answer the length of the page for the volume of the pyrmid LOL

Something with like 3 brackets and root 3's inside?
Title: Re: Oh god Pyramid of Death
Post by: JinXi on November 08, 2010, 03:09:12 pm
i got an answer the length of the page for the volume of the pyrmid LOL

Something with like 3 brackets and root 3's inside?

Me2. What was the approx for the volume? I got 250 ish.
Title: Re: Oh god Pyramid of Death
Post by: Linkage1992 on November 08, 2010, 03:09:36 pm
lol for volume i got like 4000root79 / 2879 something.

i got owned.
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 03:10:13 pm
i got an answer the length of the page for the volume of the pyrmid LOL

Something with like 3 brackets and root 3's inside?

Me2. What was the approx for the volume? I got 250 ish.

yea it was about 256... but had a like 3 brackets everything was like squared and CRAZY
Title: Re: Oh god Pyramid of Death
Post by: 98.40_for_sure on November 08, 2010, 03:10:46 pm
Yeah it was like x=0.9xx? and volume was ~25x
Title: Re: Oh god Pyramid of Death
Post by: sajib_mostofa on November 08, 2010, 03:11:08 pm
I got
Title: Re: Oh god Pyramid of Death
Post by: Elnino_Gerrard on November 08, 2010, 03:11:51 pm
I had 4000 root 3 divided by 27 which is is 256.6
Title: Re: Oh god Pyramid of Death
Post by: fady_22 on November 08, 2010, 03:13:14 pm
For the volume I got and .
Title: Re: Oh god Pyramid of Death
Post by: sajib_mostofa on November 08, 2010, 03:14:00 pm
For the volume I got and .

Sounds right
Title: Re: Oh god Pyramid of Death
Post by: sooeyy on November 08, 2010, 03:14:14 pm
Finding the height of the pyramid was tricky. I used Pythagoras' theorem,,, anyone else?
I did too. You get 10rt sinx^2 - cosx^2..

So you have to simplify that to
10rt 1-2cosx^2 for the next question.

(Y) to those who do spesh! Yay for double angle formulae.
Title: Re: Oh god Pyramid of Death
Post by: fady_22 on November 08, 2010, 03:14:23 pm
YAY!
Title: Re: Oh god Pyramid of Death
Post by: curious111 on November 08, 2010, 03:14:51 pm
Did you have to write the answer as 256.6 metres cubed? Or was it ok if you left it as
Title: Re: Oh god Pyramid of Death
Post by: Elnino_Gerrard on November 08, 2010, 03:15:10 pm
Did you have to write the answer as 256.6 metres cubed? Or was it ok if you left it as

Nah exact answer
Title: Re: Oh god Pyramid of Death
Post by: Linkage1992 on November 08, 2010, 03:15:19 pm
FAAAAAARK i got cos^2 x = 1/3

then i made cosx = 1/9 for some reason NOOOOO
Title: Re: Oh god Pyramid of Death
Post by: Stormer on November 08, 2010, 03:15:24 pm
For the volume I got and .
Yup. That's the answer I got.

Well 4000root(1/27)/3

Same thing
Title: Re: Oh god Pyramid of Death
Post by: lil_stace on November 08, 2010, 03:15:33 pm
I LOVE SPECIALIST!! HELPED ME SOLVE THE PYRAMID OF DEATH
Title: Re: Oh god Pyramid of Death
Post by: 98.40_for_sure on November 08, 2010, 03:15:42 pm
I had the exact value of 256.6, but it was about 3 lines long. Simplify function on calc was taking hours
Title: Re: Oh god Pyramid of Death
Post by: sooeyy on November 08, 2010, 03:15:59 pm
For the volume I got and .

Sounds right
Yay thats what I got.

For the last part of that question...you just had to equate T= right? And restrict x to [0,pi/2]?
Title: Re: Oh god Pyramid of Death
Post by: fady_22 on November 08, 2010, 03:17:10 pm
For the volume I got and .

Sounds right
Yay thats what I got.

For the last part of that question...you just had to equate T= right? And restrict x to [0,pi/2]?

The domain was (pi/4, pi/2). But that's what I did too.
Title: Re: Oh god Pyramid of Death
Post by: lil_stace on November 08, 2010, 03:17:15 pm
Anyone else throw away 13 marks?

i think.... but damn the multiple choice was easy!!! and so was question 1 long answer
Title: Re: Oh god Pyramid of Death
Post by: snibo23 on November 08, 2010, 03:17:39 pm
booyah ;D. got x=cos-1(root3/3) and V=4000(root3)/27
Anyone feel that doing spesh was a major advantage for this exam, especially the last question
Title: Re: Oh god Pyramid of Death
Post by: 98.40_for_sure on November 08, 2010, 03:17:55 pm
What values of x did you guys get for the chicks pyramid? the half volume one.
i think i got 0.5x and 1.xx
Title: Re: Oh god Pyramid of Death
Post by: fady_22 on November 08, 2010, 03:18:29 pm
Yeah, I felt that doing spesh really helped.
Title: Re: Oh god Pyramid of Death
Post by: sooeyy on November 08, 2010, 03:18:38 pm
I LOVE SPECIALIST!! HELPED ME SOLVE THE PYRAMID OF DEATH
HI5~~~~
Title: Re: Oh god Pyramid of Death
Post by: Elnino_Gerrard on November 08, 2010, 03:19:52 pm
I felt doing further helped me :P doing that pyramid haha
i got x=0.80 something and x=1.23
Title: Re: Oh god Pyramid of Death
Post by: JinXi on November 08, 2010, 03:20:48 pm
I felt doing further helped me :P doing that pyramid haha
i got x=0.80 something and x=1.23

me222 HI 5
Title: Re: Oh god Pyramid of Death
Post by: Elnino_Gerrard on November 08, 2010, 03:22:11 pm
This exam will not ruin my mood :D Liverpool 2 Chelsea 0  :D
Title: Re: Oh god Pyramid of Death
Post by: staffa on November 08, 2010, 03:25:48 pm
This exam will not ruin my mood :D Liverpool 2 Chelsea 0  :D

Arsenal lose and I get that mindfuck of an exam. Not a good day by any means!
Title: Re: Oh god Pyramid of Death
Post by: Elnino_Gerrard on November 08, 2010, 03:28:03 pm
This exam will not ruin my mood :D Liverpool 2 Chelsea 0  :D

Arsenal lose and I get that mindfuck of an exam. Not a good day by any means!
Arsenal lost too? oh haahaha exam completely forgottten :D
Title: Re: Oh god Pyramid of Death
Post by: slothpomba on November 08, 2010, 03:29:21 pm
haha I laughed on seeing the pyramid of death after the prediction yesterday
Haha as soon as i saw it my jaw dropped... the guys on the forum were right...

more or less :S
i just lost my anal virginity... and it was to vcaa :'(

I still haven't stopped bleeding...  :'(
Title: Re: Oh god Pyramid of Death
Post by: kepal5 on November 08, 2010, 03:49:10 pm
yeah was re
haha I laughed on seeing the pyramid of death after the prediction yesterday
yeah was reading that i was so lol i should have so put it on
Title: Re: Oh god Pyramid of Death
Post by: jaesen on November 08, 2010, 03:53:10 pm
I felt doing further helped me :P doing that pyramid haha
i got x=0.80 something and x=1.23

me222 HI 5

Hey, so did I! : )

I originally had x=2arctan(root 6 - root2 / somethingsomething) but when substituting that into cos(x), expecting a LOT of lag, it came out to be a nice root3/3 from there on, the rest was a lot easier to do, hoho :D
Title: Re: Oh god Pyramid of Death
Post by: qwerty0 on November 08, 2010, 03:57:17 pm
how about the last question of this ?
about the daughter's damn pyramid that was half the size?
Title: Re: Oh god Pyramid of Death
Post by: shoeaddiikt on November 08, 2010, 04:18:43 pm
i just lost my anal virginity... and it was to vcaa :'(

+volume of the pyramid
Title: Re: Oh god Pyramid of Death
Post by: charsiuvce on November 08, 2010, 04:20:34 pm
how about the last question of this ?
about the daughter's damn pyramid that was half the size?

i got x=0.81 and x=1.23
can anyone confirm?
Title: Re: Oh god Pyramid of Death
Post by: taiga on November 08, 2010, 04:21:23 pm
how about the last question of this ?
about the daughter's damn pyramid that was half the size?

i got x=0.81 and x=1.23
can anyone confirm?

Yeah I got something like that
Title: Re: Oh god Pyramid of Death
Post by: 98.40_for_sure on November 08, 2010, 04:21:56 pm
how about the last question of this ?
about the daughter's damn pyramid that was half the size?

i got x=0.81 and x=1.23
can anyone confirm?

Something like that yes
Title: Re: Oh god Pyramid of Death
Post by: sajib_mostofa on November 08, 2010, 04:22:39 pm
Would I lose marks if I converted the answer to degrees?
Title: Re: Oh god Pyramid of Death
Post by: charsiuvce on November 08, 2010, 04:47:30 pm
Would I lose marks if I converted the answer to degrees?

as long as you didn't do any calculus with degrees i cant see why that would be wrong.
Title: Re: Oh god Pyramid of Death
Post by: Blakhitman on November 08, 2010, 04:52:23 pm
did you guys get x=0.9554317??

and can anyone remember the equation of the volume?

was it

Title: Re: Oh god Pyramid of Death
Post by: 3Xamz on November 08, 2010, 04:52:56 pm
It was that, but 4000 not 400?
Title: Re: Oh god Pyramid of Death
Post by: 3Xamz on November 08, 2010, 04:53:40 pm
did you guys get x=0.9554317??

and can anyone remember the equation of the volume?

was it



PS: They asked for exact values, which was 4000sqrt(3)/27 which is ~ 0.9554317
Title: Re: Oh god Pyramid of Death
Post by: footywiz on November 08, 2010, 04:54:43 pm
lol my methods teacher put in Victoria Jones in my 1st methods sac this year. Should've taken the hint...
Title: Re: Oh god Pyramid of Death
Post by: Blakhitman on November 08, 2010, 04:56:16 pm
It was that, but 4000 not 400?

ahhh shit, gg -.-

did you guys get x=0.9554317??

and can anyone remember the equation of the volume?

was it



PS: They asked for exact values, which was 4000sqrt(3)/27 which is ~ 0.9554317

Yea I did put cos^-1(blah).

And that was the volume ^
Title: Re: Oh god Pyramid of Death
Post by: 3Xamz on November 08, 2010, 05:02:03 pm
Quote

Yea I did put cos^-1(blah).

And that was the volume ^

Sweet as :)
cos^-1(1/root(3))?
Title: Re: Oh god Pyramid of Death
Post by: InitialDRulz on November 08, 2010, 05:03:24 pm
yeah i got that as my x co-ordinate :x
Title: Re: Oh god Pyramid of Death
Post by: homedog on November 08, 2010, 05:06:01 pm
hey question for all those people who got 4000 root 3 divided by 27 for this question, what calculator were you using???
Title: Re: Oh god Pyramid of Death
Post by: becca92 on November 08, 2010, 05:07:38 pm
ti89
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 05:08:22 pm
you shoulda seen the answer the class pad pulled out.
Title: Re: Oh god Pyramid of Death
Post by: 3Xamz on November 08, 2010, 05:08:44 pm
Classpad 330 for moi.

EDIT: However, the best method was to;

Find the derivative, let the numerator equal zero.
This lead to cos^2(x) = 1/3

Sub that into the volume equation to get; (4000/3)* sqrt[(1/9) - (2/27)]
NOTE: cos^4(x) = (cos^2(x))^2 = (1/3)^2 = 1/9. Much easier than isolating x and subbing back in, same for cos^6(x).

At this step did I use the calculator for the first time, simplifying the above term gave 4000sqrt(3)/27 :)
Title: Re: Oh god Pyramid of Death
Post by: stonecold on November 08, 2010, 05:08:50 pm
My calc was being gay, and it finally gave me this answer in like the last 3 mins...
Title: Re: Oh god Pyramid of Death
Post by: homedog on November 08, 2010, 05:10:40 pm
you shoulda seen the answer the class pad pulled out.

were u using classpad 330 because i got no solution. + no one in our school got it and we all use classpad 330, not even the teacher, so i'm think that there might have been a calculator issue on the classpad with this question
Title: Re: Oh god Pyramid of Death
Post by: homedog on November 08, 2010, 05:16:28 pm
Classpad 330 for moi.

EDIT: However, the best method was to;

Find the derivative, let the numerator equal zero.
This lead to cos^2(x) = 1/3

Sub that into the volume equation to get; (4000/3)* sqrt[(1/9) - (2/27)]
NOTE: cos^4(x) = (cos^2(x))^2 = (1/3)^2 = 1/9. Much easier than isolating x and subbing back in, same for cos^6(x).

At this step did I use the calculator for the first time, simplifying the above term gave 4000sqrt(3)/27 :)


did u try it on your calculator first and get no solutions or was that just me???
Title: Re: Oh god Pyramid of Death
Post by: Whatlol on November 08, 2010, 05:16:53 pm
you shoulda seen the answer the class pad pulled out.

were u using classpad 330 because i got no solution. + no one in our school got it and we all use classpad 330, not even the teacher, so i'm think that there might have been a calculator issue on the classpad with this question

 i have the 330 but i got an answer that was the length of the page, but i think it is the correct one, although i doubt VCAA will reward a mark for it
Title: Re: Oh god Pyramid of Death
Post by: 3Xamz on November 08, 2010, 05:35:32 pm
Classpad 330 for moi.

EDIT: However, the best method was to;

Find the derivative, let the numerator equal zero.
This lead to cos^2(x) = 1/3

Sub that into the volume equation to get; (4000/3)* sqrt[(1/9) - (2/27)]
NOTE: cos^4(x) = (cos^2(x))^2 = (1/3)^2 = 1/9. Much easier than isolating x and subbing back in, same for cos^6(x).

At this step did I use the calculator for the first time, simplifying the above term gave 4000sqrt(3)/27 :)


did u try it on your calculator first and get no solutions or was that just me???

I've always preferred manual methods over the CAS, and it's been a negative all throughout the year for me. Wasting time doing it by hand when others did it on the calc, but it paid off today! Didn't bother with the calc till I got to that very last part. :)
Title: Re: Oh god Pyramid of Death
Post by: supernerd on November 08, 2010, 06:01:38 pm
The Pyramid of Death :D
Oh my god. Do. Not. Jinx.


 this would be hilarious if it wasnt so tragically ironic
Title: Re: Oh god Pyramid of Death
Post by: Stormer on November 08, 2010, 06:40:49 pm
I felt doing further helped me :P doing that pyramid haha
i got x=0.80 something and x=1.23
I have that, just re did the question and got the same as well. iTute's answers don't seem to correlate though.
Title: Re: Oh god Pyramid of Death
Post by: samiira on November 08, 2010, 06:42:27 pm
The Pyramid of Death :D
Oh my god. Do. Not. Jinx.


 this would be hilarious if it wasnt so tragically ironic
LOL!!