Columbia University Science Honors Program ENTRANCE EXAMINATION

Eh, But I still have an 11 as a freshman and a 49 on the SAT math. Do you think that will make it?

@lequalSmart I’m pretty sure that’s what it said. Might have read it wrong. Solved it using calculus which I took freshman year.

There are people who have gotten in with lower. Just curious, what demographic are you?

@Frigidcold I got those same answers, in addition to -6 being an answer for the perpendicular problem to find a, 10a/r for like the a/6 problem, -2<x<3, and 4√2 for that triangle problem

I think I got 10a/r which I think was d.

@zenith99 Got all of those answers too, high five :smiley:

Talk to you guys tomorrow, I have a science fair tomorrow.

@Frigidcold high-fives back yessss! I hope this brings up my abysmal science score though lol

Ok two things. 1. For the problem with the volume = Surface area wasn’t edge = 6? Also how was 16/3 the value of x that leads to maximum value of 8x - 3x^2? when plugging that in I get a negative number.

No… Its asking for the one that is yielded by the expression. Not the largest x. Sadly I read minimum.

no but there were five possible answers (0, 8/3, maybe 3, 4, and 16/3). I plugged in all those and got 0 from the expression when plugging in 0 and 8/3 and a negative number when plugging in the other numbers?

sigh with that Im down to 50/50 easy math, somewhere in the 60s prob for science, 12/15 hard math with penalties on the way. And I’m a sophmore…things aren’t looking good

@CanisMajor

  1. The volume was in feet cubed and the surface area was in square inches, different unit.
    s^3=6(12s)^2
  1. I only know how to solve it using calculus, so idk if you know the concept, it's called relative extrema. derive 8x-6x^2 8-12x solve for x to get 4/3 plug back into original expression to get 16/3

@Frigidcold Well im screwed

Yeah, I got 6 x 1728 as the feet for that problem. I also used the derivative to test the extrema through closed interval method.

Calculus sucks -_- (I’m a sophmore and I did not take calc).

Did u guys get 6 for the equal volumes equal surface area problem?

@penguinpal I believe the answer was 864, which is 6 x 12^2. 6 x 1728 would be 6 x12^3.

@CanisMajor There are people who have gotten in with lower than what you have, which I imagine is 10 or 11 on challenge math. Try to keep optimistic. :slight_smile: I wish I could say the same to myself.

and .08 for the problem of selecting n as a perfect square out of 100?

@Keytone

  1. Equal volume and surface area answer was 864, the volume was in feet, the surface area was in inches.
  1. The probability was 0.08.

Feel free to look at earlier pages in the thread, all the answers are there

@Frigidcold yeah I realize that now…damn

I changed my answer on that one I think, since I last minute checked over some of the middle problems.

Now I am depressed.