Euclid

[Martin]

Question 10:
An integer n is 'savage' if it fits the following cases
The set {1,2,3,...,n} can be divided into three groups so that all of the following is true:

Group A contains only odd numbers
Group B contains only even numbers
Group C contains all of the multiples of three (it can contain other numbers as well)

and
The sum of all three groups is the same.

Now for the actual question (3 parts)
a) Show that 8 is a 'savage' number
b) Prove that for every even 'savage' number, (n+4)/12 is an integer
c) Find every prime 'savage' number less than 100.

Remember, this is math, not computer science. Couldn't even have graphing calculators.

[Prince]

wtf?!?!?!... dats ONE question

[Catalyst]

math contests tend to be like that...

[yuethomas]

I got part a and 3/4 of part b done. Didn't have time to start part c.

(P.S. 8 is a savage number as 1~8 can be divided into
A = {5,7}
B = {4,8}
C = {1,2,3,6} )

[Office of the Registar]

i did this math contest and that was the last question rite?
man, i blanked out on that
i guess i needed one more year of experience...
(i'm in grade 11)

[Martin]

Sad thing is, part a)'s only worth 2 of the 10 marks

[Crono]

hey i saw tis post n wuz like "woh, tom's here", lol, wut's goin on tom? u comin to waterloo tis year?

euclid wuz easy, but long, i didnt have time to finish the last one, o wellz, i'll b happy wit my 90...lol

[bugzpodder]

98 on euclid for me ^.^;
hypatia question 3, i think it is if you have a cylinder and sphere, both have the same radius, and the sphere is half the height of the cylinder (or was it the other way around). and you have a plane parallel to the ground level cut through both objects, what value of the height of plane will make the area of the cylinder equal to area of the sphere.

the cylinder part is easy, the sphere, you gotta realize do pythagoras. let the radius of the area be r, and radius of sphere be R. so basically:
r^2+(h-R)^2=R^2

[SilverSprite]

I got 75 on the Euclid.. shitty time limit.. Why did Mr White put me next to the window sooo distracting.. anyways yeah.. I did ok.. I tripled my score from last year:D

[Andy]

hmmm our math exams has 2 questions from the Euclid, lucky me and SilverSprite and Hello and AsianSensation

[AsianSensation]

I sucked big time on the Euclid, I only did 7 questions, got 69, ran out of time, spent all my time doing the hexagon and the cannon one. I redid those questions like 4 times each, cuz i kept on getting different answers, stupid mechanical errors .oh well, just have to learn to work faster next time.

[Andy]

meng the cannon one is easy, y do you think it was on our math exam?

[JayLo]

man! i don't even think our school has Euclid.

[PaddyLong]

these contests they are talking about are ones offered by the University of Waterloo...

I only did the open one this year, it was pretty straight forward except for part C and I think one question in part B that had all these angles and something about light reflecting or something... even a couple of the teachers looked at it and were like wtf... I can't remember how I did though, I think like 2nd or 3rd in my school, so not too good I don't think

[JayLo]

so it's purely math? at what level? better start preparing...