monster questions T_T

-----Solving Radical Expression-----

MATH: Problem Set #2

Math 10 Wings
Problem Solving
02.16.2010

Four points are on a line segment, as shown. If AB : BC = 1 : 2

and BC : CD = 8 : 5, then AB : BD equals:

(A) 4 : 13 (B) 1 : 13 (C) 1 : 7

(D) 3 : 13 (E) 4 : 17

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Explanation:

Since the ratio of AB:BC is equal to 1:2, then the difference

between them is half. Since BC:CD is compared to each other

by 8:5, then as BC is 8, AB can be 4. The sum of BC - CD

is 8+5 = 13; so therefore, AB : BD would equal (A) 4 : 13.

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Answer:

(A) 4 : 13

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Response:

After reading this problem the first time, my initial aswer

was (C) 1 : 7. It was tricky because the two different ratio's

weren't even. But after reading it a coulple more times,

I eventually figured it out. It was one of those questions that

you think you get right the first time and are so sure about it

but after reading it again, your first aswer doesn't seem to

fit anymore. So it made me look back and realize I actually

got the answer wrong!

Problem Solving Set 1

Math 10 Wings
Problem Solving Question
02.10.2010.

#12. The graph shows the number of students who selected each of five possible choices in responding to a question. The correct response was the one most frequently chosen. The percentage of students who selected the correct response was:
(A) 14 (B) 56 (C) 50
(D) 11 (E) 44

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Response:

I picked this question because i enjoyed this one. I had to read it about 2-3 times to actually understand the question because it seems so overwhelming with all the numbers and the graph.. but actually, it was pretty easy.

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Explanation:

The correct response was the one most frequently chosen. So what it's asking is for the percentage of those that got the right answer. So first you should figure out how many students there are in total. So you add all of them up.

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300 + 1100 + 100 + 600 + 400 = 2500 students in total

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Finding that the most frequently chosen answer was the one with 1100 students, I divided 1100 by 2500 (total students) in order to find out the percentage.
1100/2500 = 0.44
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= 0.44

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0.44 x 100 = 44 %

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Answer = (E) 44

Tower of Hanoi

My Strategy:

This was the most frustrating game ever to begin with. I couldn't get it at all, until playing for a while, and figuring out some patterns. Once I figured out how to move 3 discs in 7 moves, and then 4 discs in 15 moves, I realized that you have to move one set at a time. For example, you have to move 3 discs into an empty pole, and then aim for getting 4 discs into an empty one and so on before you can move 5 discs.

I started off by getting the top three pieces (first set) to move all the way to the right.

Secondly, the top four pieces (second set) was moved to the empty middle pole.

And thirdly, back to the far right, all five discs were moved to the empty pole.

To solve: I alternated small pieces with bigger pieces to get the bigger disc on the bottom. The smallest piece always moves to the right if the starting number of pieces is even; and to the left if it is odd.

FORMULA:

______________________________________________

I tried the last level on this specific site as well which was aiming

for moving 12 discs. But after half an hour, multiple mistakes,

and resetting twice, I gave up after moving only 10. (with mistakes)

So many times when I played, I blanked out, repeated steps,

and had no idea what I was doing, or what I was going to do, so

I would end up going in circles. But after so many tries, I figured

out a pattern! And I figured out some basic rules. It was so

confusing at first, but after a while, you get the hang of it.