ATAR Notes: Forum

VCE Stuff => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematics => Topic started by: Mao on July 21, 2008, 06:19:27 pm

Title: Victoria University Problem Solving Competition
Post by: Mao on July 21, 2008, 06:19:27 pm
http://psc.vu.edu.au/

do it online on Tuesday 29th of July, free registration
nothing prestigous, but good for the fun of it. Answer everything right and get to go to footscray campus for a competition, there's a few little prizes here and there, top prize is a scholarship at School of Computer Science and Mathematics [lol :P]

but do it for the good fun. I did it last year =] they bring some fresh materials to that aren't as boring as school work.

DO IT! and register soon. it closes a day before the competition.

ps, i just remembered, the finals is on the open day. but that's okay, do it for the fun anyways xD
Title: Re: Victoria University Problem Solving Competition
Post by: transgression on July 21, 2008, 07:49:25 pm
19th of july?
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on July 21, 2008, 07:52:55 pm
i swear i meant to press the "2" key :P
Title: Re: Victoria University Problem Solving Competition
Post by: Neobeo on July 21, 2008, 08:14:44 pm
I remember this competition being a whole level of magnitude easier than the BHP Billiton competition or the Australian Maths Competition. But then again I did this competition when it only just started in 2004, so maybe (hopefully >:D) they've made it harder since then.

The prizes are awesome though. I got the top prize which was a $250 voucher for Angus & Robertson. They didn't give out scholarships back then =(.
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on July 21, 2008, 08:18:33 pm
The prizes are awesome though. I got the top prize which was a $250 voucher for Angus & Robertson. They didn't give out scholarships back then =(.

that doesn't surprise me one bit xD the scholarship wouldn't have mattered to you anyways :P
Title: Re: Victoria University Problem Solving Competition
Post by: ell on July 21, 2008, 08:45:39 pm
I think the $250 Voucher is worth more than a scholarship at VU :P
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on July 30, 2008, 01:00:05 am
Hmm I did the online test, now what? Do I just wait?
Title: Re: Victoria University Problem Solving Competition
Post by: Ahmad on July 30, 2008, 03:24:54 am
I also received the $250 book voucher (borders) back in 2006. It's not hard to win, and the $250 is actually useful. I used it to buy The Art of Computer Programming volumes 1, 2 and 3.  :)

http://www.amazon.com/Art-Computer-Programming-Volumes-Boxed/dp/0201485419

Title: Re: Victoria University Problem Solving Competition
Post by: AppleXY on July 30, 2008, 07:52:58 am
I think the $250 Voucher is worth more than a scholarship at VU :P

LOL. VU. :P

Ahmad & Neobeo probably ate this problem solving comp for lunch. :) :P
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on July 31, 2008, 08:30:22 pm
Hmm I did the online test, now what? Do I just wait?

yeah. I got the email today re finals

open day: 10th Aug, 10AM

crap. it's on the opposite side of town from me... argh, 60k journey (1 way)!~
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on July 31, 2008, 09:23:01 pm
Hmm it is far from my place too, but I think I'll be able to go. We need to bring the invitation letter right? Still, the invitation letter is addressed to 'Student'... so I wonder how they will know who we are.

DODGY
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on August 01, 2008, 05:13:44 pm
Hmm it is far from my place too, but I think I'll be able to go. We need to bring the invitation letter right? Still, the invitation letter is addressed to 'Student'... so I wonder how they will know who we are.

DODGY

its vic uni.

let's hope they will know who we are... haha.
but that's not to worry, I don't think VU really cares who the winners are, at the end of the day, the winners would have enough merits behind them to actually win the PSC, so lol~!
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on August 10, 2008, 11:57:31 am
Ahhh that was fun. I think I did pretty well. First question was easy. Second was also easy but my answer looked suspiciously complicated. For the racetrack question omg my head is so thick it took me ages to get the answer. Question four was relatively ok. The last one I rushed in like 5 mins lol.

1. 20
2.
3. 37.5m/s, 22.5m/s
4. 50
6. -4
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on August 10, 2008, 12:14:45 pm
lolol, i took the privelage to not show up. 6 hours wasted in travel is not worth it considering the prize is a scholarship I will not even consider accepting :P

I feel like I have done a good deed today, haha, I helped others by increasing the chances of them being awarded a place in VU :P
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on August 10, 2008, 12:17:04 pm
lolol, i took the privelage to not show up. 6 hours wasted in travel is not worth it considering the prize is a scholarship I will not even consider accepting :P

I feel like I have done a good deed today, haha, I helped others by increasing the chances of them being awarded a place in VU :P

Lol mao... I was trying to guess which asian you were
You woulda won for sure
Title: Re: Victoria University Problem Solving Competition
Post by: Mao on August 10, 2008, 12:20:17 pm
lolol, i took the privelage to not show up. 6 hours wasted in travel is not worth it considering the prize is a scholarship I will not even consider accepting :P

I feel like I have done a good deed today, haha, I helped others by increasing the chances of them being awarded a place in VU :P

Lol mao... I was trying to guess which asian you were
You woulda won for sure

no way
I only scored 6/8 for the online thing [quite relieved that I will not be obligated to attend second round]
and then an email popped through =S
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on August 10, 2008, 12:25:20 pm
Here's what I can remember if you're interested

1, 2 (cbf drawing, just geometry anyway)

3. Two cars race around a circular track at constant speeds. If they go in opposite directions they will cross every 30 seconds. If they go in the same direction one will overtake the other every 120 seconds. The track is 1800m. Find the speeds of the cars.

4. . Find the smallest value of .

5. Find the sum of all the possible values of x.
Title: Re: Victoria University Problem Solving Competition
Post by: cara.mel on August 10, 2008, 12:43:30 pm
I've done question 3 before but with different numbers in it in spec!

I liked that, I actually got how to set up the question :P

But 4 and 5, no idea how you would do it. Apart from maybe factor question 5 as first step :P And maybe make a all over 1 denominator. I dunno
Title: Re: Victoria University Problem Solving Competition
Post by: dcc on August 10, 2008, 12:55:04 pm
4. . Find the smallest value of .

Question 4:

Rewrite as:

Since we know that , then we take note that

So to ensure that both sides of the equations are Natural numbers, let (since this is the first number which lets the LHS be divisible by the right.  b = 8 Would also work, however this would not be the <lowest> value of b)



Question 5:

5. Find the sum of all the possible values of x.

Now the only reason why a number would be if or or and a gives a positive 1 (for example )

First:

Second:

Now notice that the discriminant of is so this quadratic has no real solutions.

Adding these solutions together, we find that the answer (hopefully) is
Title: Re: Victoria University Problem Solving Competition
Post by: ingramjack48 on August 10, 2008, 01:07:19 pm
Prove (for x) that: 1 + 4  = 5

Define the y intercept for the parabola foruma of 3x^2
Title: Re: Victoria University Problem Solving Competition
Post by: /0 on August 10, 2008, 01:11:11 pm
Second:


Noooooooo lol I forgot about that