Rationale for Gouge Math Problems

[dpiddycanfly]

I had a few questions about some of the math problems on the practice test that I found on this site. Not sure if these are typos, or if I am just wrong. And some, I need to know a shortcut to figuring them out, if anybody knows any.

#11: I got D, but the answer says B. Pretty sure I'm right on this one, someone let me know why.

#18: Is the 8ft. on the bottom of that figure supposed to be a 6? If so, the answer makes sense.

#19: Anybody know a shortcut?

#29: Again, shortcut?

That should do it for now. Any help will be appreciated. I hate math.

Thanks

 

[T-man]

I had a few questions about some of the math problems on the practice test that I found on this site. Not sure if these are typos, or if I am just wrong. And some, I need to know a shortcut to figuring them out, if anybody knows any.

#11: I got D, but the answer says B. Pretty sure I'm right on this one, someone let me know why.

#18: Is the 8ft. on the bottom of that figure supposed to be a 6? If so, the answer makes sense.

#19: Anybody know a shortcut?

#29: Again, shortcut?

That should do it for now. Any help will be appreciated. I hate math.

Thanks

#11. the answer is D according to the answer sheet. Don't trust the "circled answers" that someone wrote in.

#18. It should read 8 feet. Someone wrote in the 2 next to it, the distance is 8 ft total (6 + 2), exclude the guys written in numbers and it makes sense. Hope that didn't confuse you more.

#19. I was able to do this one in my head. multiply by 2, divide by T, add Z, and you're left with Y on 1 side of the equation. Looking at the possible answers, C is the only answer that fits that mental process.

#19. Rounding is key here., if you look at the first number (0.0010197), you will notice that the first digit is in the thousandths place, or 1.0197/1000, round that to 1/1000 and multiplying by the next number (5001) gives you 5.001. Now multiply 5*42, or 5*40 = 200, what's the closest number to 200. (answer is C, only number remotely close). This one can also be done in your head, it took me looking at it a few moments to realize how simple it was.


Hope that helps, I just went through this yesterday as well.

 

[dpiddycanfly]

Okay that helps a lot. Thanks T-Man.

 

[dpiddycanfly]

Also have another question. Can anybody explain number 42 on the math section? Thanks.

 

[jburnes]

#42 on the math section requires you to think about the Pythagorean Theorem. While looking at the graph the problem states that point X is located at (x=1,y=2) and point Y is at (4,6). if you subtract the "x" coordinates you'll find that point X is 4-1=3 units away from point Y in the "x" direction. And if you subtract the "y" coordinates you'll find that point X is 6-2=4 units away from point Y in the "y" direction. So now looking at the graph you know that there is a triangle that is 3 units wide ("x" direction) and 4 units tall ("y" direction). What you need to know is the distance between point X and Point Y, so we can use the Pythagorean Theorem which says that for any right triangle

width^2 + height^2 = hypotenuse^2

So,

3^2 + 4^2 = c^2

9 + 16 = 25 then take the square root of 25 to get c = 5


sorry if that was too long

 

[T-man]

here's a bit of trivia regarding right triangles. I got this from my construction days and squaring off corners and may come in handy when taking tests that have problems like #42.

a right triangle with legs of length 3 and 4 will have a hypotenuse of 5, or also called a 3,4,5 right triangle. Similarly a right triangle with legs of length 6 and 8 will have a hypotenuse of length 10, or a 6,8,10 triangle. I've found right triangle questions will often use these numbers, and they are very easy to memorize, so Problems like #42 require no calculation at all if you've got these numbers down.

 

[dpiddycanfly]

Okay, duh. I was looking at it totally the wrong way. Thanks guys, I appreciate it.

 

[walraven]

Hey everyone, I'm new to posting so bear with me please.

I had a question on #28 on the prep test, can anyone help?

 

[T-man]

maybe.... what's your question...?

 

[MarketPro]

Question 28:

Solve for one variable and then plug into your other equations.

i.e.

If a - x = b
and b + a = c
and 2x = a

then 2x- x = b therefore b = x, a = 2x and c = 3x

Derive your equations using a similar process.

 

[walraven]

Thanks for the help, but, now I'm stuck on #46, any tips? Also, is the ASTB strictly multiple choice, or are there short answers also? I have been reading weird things about the aviation part.

Thanks

 

[T-man]

It's 100% multiple choice.

Post/email/PM me the problem question and I can take a look at it. I'm at work so I don't have the materials in front of me, but I'm happy to take a look at it if you can provide me with the problem.

-T-man