Not sure why you think that's possible.Yay ibibah, lets spread the answers to all the questions and bias the results for other kids!
Good idea
Pump up dat HD quantity around australia.
I confirmed with carrot that it was ok to post solutions before I posted any.
Prime factors of 2013 are 3, 11, 61.
Oh I don't mind, my school done it today but they don't let year 12s do it due to trials (it's bullshit).
and you know what the teacher would get if they let the kid do it the next day?
can I ask why this works?Prime factors of 2013 are 3, 11, 61.
They all have powers of 1, thus the amount of consecutive integers that add to 2013 is:
Take another example, say 72, it's prime factorisation is
So we take each power, add one, multiply them together, and minus one:
(3+1)-1 = 11)
Our whole school doesn't the next day.
That's an interesting trick. It would of have definitely been very handy in the competition.Prime factors of 2013 are 3, 11, 61.
They all have powers of 1, thus the amount of consecutive integers that add to 2013 is:
Take another example, say 72, it's prime factorisation is
So we take each power, add one, multiply them together, and minus one:
fuckAlso I worked out how to do question 25 (the 2 spheres) whilst falling asleep last night. It just clicked all of a sudden whilst lying there with my eyes shut lol. It's actually really easy:
Since the small sphere has radius=1 and the large sphere has radius=2, the ratio of their volumes is 1:8.
Now let the ratio that the smaller sphere gets cut into be a:b which can be expressed as.
Now the larger sphere gets cut into the same ratio, but 8 times larger, and the ratio is reversed to get 8b:8a or
Now adding these together to get the total volume of the two spheres together gives:
However, the question told us that the total volume was cut into the ratio 2:1, or, and so:
But remember that
Yep I am
I always do it. Just as I'm about to fall asleep it hits me lol. Must be a subconscious thing, or maybe our minds just become very clear at that time when we are relaxed?turns out im not the only one who solves maths q's whilst falling asleep