Can this thread be a place where you can post SAT Math Problems not from the Blue Book, but from the Red/White books or any other prep books? A lot of the links for fill-in questions on Study-Hall are corrupt, and I really need some explanations to some of these problems. My math is horrible!

Anyway, I'll start the thread with some problems...

(Third edition, pg. 305 #22)

If 27^15=3^y, what is the value of y?

My friend kind of explained it to me, but I still don't really understand it.

(Third edition, pg. 305 #23)

If the perimeter of a rectangle is 10 times the width of the rectangle, then the length of the rectangle is how many times the width?

I actually figured this one out with equations, but don't really understand what I did...LOL gosh this is bad.

(Third edition, pg. 312 #10)

There are 3 roads from Plattsville to Ocean Heights and 4 roads from Ocean Heights to Bay Cove. If Martina drives from Plattsville to Bay Cove and back, and passes through Ocean Heights in both directions, and does not travel any road twice, how many different routes for the trip are possible?

I did 3^3, but again, I don't understand why I did that.

Okay, can somebody please help? Also, post your questions guys!

for the third question...u see...first u have 3 x 4 ways from platt to bay. so thats 12. if you can't travel back the same way, don't you think you should subtract that road when you travel back? so when you travel back you have (3-1) x (4-1) = 6 ways. because its refering going there and coming back you must 12 x 6 = 72.

for the second question...ok assume perimeter is 10 cm...and the width is 1. so that means 10 - 2 (2 width) = 8. dive the 8 by two 9because there are two length)..you get 4..... 4: 1 = 4 times

SoConfused (Post #1):
"Can this thread be a place where you can post SAT Math Problems not from the Blue Book, but from the Red/White books or any other prep books?"

I vote for your suggestion, with one exception:
I think we should limit this thread to CB (math) questions only for the sake of authenticity.

Let's use this convention:
The White "10 Real SATs" - 1st ed.
The Red "10 Real SATs Second Edition" - 2nd ed.
The Red "10 Real SATs Third Edition" - 3rd ed.

Here are a few links from the recent posts (format is open for modifications, of course).
Additions and corrections are appreciated.

SoConfused:
I hope your question above is because of early_Monday_morning brain freeze - if not, you're in trouble .

The question needs you to find out which of the possible answers is a factor of 6p. If x is a factor of 6p, then (6p)/x needs to be an integer, and to check this, you need to do the division. Note that is prime, and > 3; it must be one of 5,7,11,13,17,...

A. 6p / p^2 = 6/p = (3)(2)/p, not an integer (since p is prime & > 3)
B. 6p / 6p = 1, an integer
C. 6p/ 3p = 2, an integer
D. 6p/2p = 3, an integer
E. 6p/3 = 2p, an integer

optimizerdad's response is excellent and really makes you understand the problem (the kind of explanation I would like to recieve to a problem I had)

The reason studyhall tells you to divide is because it reveals the answer. You shouldn't have to actually "divide" the numbers though - you should look at the answers and immediatly see:

6p is obviously a factor of 6p
3p is obviously a factor of 6p
2p is obviously a factor of 6p

3 is obviously a factor of 6p (3 is a factor of the coefficient, 6, therefore a factor of 6p as well)

I don't understant third ed. pg 312, #9, with two overlapping circles inside a rectangle. The circles both have area of 10, with centers A and B. Basically, the circles overlap such that the circumference of each goes through the center of the other circle. The left side of circleB's circumference goes through circleA's center...and vice versa.

Excluding rest stops, it took Juanita a total of 10 hours to hike from the base of a mountain to the top and back down again by the same path. If while hiking she averaged 2 kilometers per hour going up and 3 kilometers per hour coming down, how many kilometers was it from the base to the top of the mountain?
a) 8
b) 10
c) 12
d)20
e) 24

## Replies to: Consolidated Answers for 10RS Math Problems

for the second question...ok assume perimeter is 10 cm...and the width is 1. so that means 10 - 2 (2 width) = 8. dive the 8 by two 9because there are two length)..you get 4..... 4: 1 = 4 times

for the 1st question

do this...3^3(15) = 3 ^y thus y = 3 x 15 = 45.

2l + 2w = 10w

2l = 8w

l = 4w

"Can this thread be a place where you can post SAT Math Problems not from the Blue Book, but from the Red/White books or any other prep books?"

I vote for your suggestion, with one exception:

I think we should limit this thread to CB (math) questions only for the sake of authenticity.

Look up a useful post by xiggi http://talk.collegeconfidential.com/showthread.php?t=81979.

Let's use this convention:

The White "10 Real SATs" - 1st ed.

The Red "10 Real SATs Second Edition" - 2nd ed.

The Red "10 Real SATs Third Edition" - 3rd ed.

Here are a few links from the recent posts (format is open for modifications, of course).

Additions and corrections are appreciated.

Edition/Page/Question/Link

1st ed./ 314 / 17 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 314 / 18 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 314 / 19 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 314 / 20 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 314 / 21 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 314 / 22 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 316 / 24 / http://talk.collegeconfidential.com/showthread.php?t=78733

1st ed./ 476 / 23 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

1st ed./ 476 / 24 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

1st ed./ 476 / 25 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

3rd ed./ 305 / 22 / http://talk.collegeconfidential.com/showthread.php?t=94911

3rd ed./ 305 / 23 / http://talk.collegeconfidential.com/showthread.php?t=94911

3rd ed./ 305 / 24 / http://talk.collegeconfidential.com/showthread.php?t=94790

3rd ed./ 312 / 10 / http://talk.collegeconfidential.com/showthread.php?t=94911

3rd ed. / 328 / 23 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

3rd ed. / 328 / 24 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

3rd ed. / 328 / 25 / http://talk.collegeconfidential.com/showthread.php?p=1022433#post1022433

3rd ed./ 420 / 24 / http://talk.collegeconfidential.com/showthread.php?t=91546

3rd ed./ 420 / 25 / http://talk.collegeconfidential.com/showthread.php?t=91546

3rd ed./ 431 / 7 / http://talk.collegeconfidential.com/showthread.php?t=91853

3rd ed./ 431 / 8 / http://talk.collegeconfidential.com/showthread.php?t=91853

3rd ed./ 452/ 16 / http://talk.collegeconfidential.com/showthread.php?t=79667

3rd ed./ 452/ 16 / http://talk.collegeconfidential.com/showthread.php?t=79667

3rd ed./ 454 / 23 / http://talk.collegeconfidential.com/showthread.php?t=79667

3rd ed/ 454 / 25 / http://talk.collegeconfidential.com/showthread.php?t=94790

3rd ed./ 471 / 8 / http://talk.collegeconfidential.com/showthread.php?t=95145

3rd ed./ 527 / 19 / http://talk.collegeconfidential.com/showthread.php?t=79887

October 2001 / Section 2 / 11 / http://talk.collegeconfidential.com/showthread.php?t=92114

October 2001 / Section 2 / 22 / http://talk.collegeconfidential.com/showthread.php?t=92114

October 2001 / Section 2 / 23 / http://talk.collegeconfidential.com/showthread.php?t=92114

October 2001 / Section 3 / 19 / http://talk.collegeconfidential.com/showthread.php?t=92622

October 2001 / Section 3 / 22 / http://talk.collegeconfidential.com/showthread.php?t=92622

October 2001 / Section 3 / 23 / http://talk.collegeconfidential.com/showthread.php?t=92622

October 2001 / Section 3 / 25 / http://talk.collegeconfidential.com/showthread.php?t=92622

October 2001 / Section 6 / 7 / http://talk.collegeconfidential.com/showthread.php?t=92622

October 2001 / Section 6 / 10 / http://talk.collegeconfidential.com/showthread.php?t=92622

Here's another one:

If p is a prime number greater than 3, which of the following is NOT a factor of 6p?

A. p^2

B. 6p

C. 3p

D. 2p

E. 3

The answer is A. and StudyHall says to divide 6p by all the possible choices...but why?

I hope your question above is because of early_Monday_morning brain freeze - if not, you're in trouble .

The question needs you to find out which of the possible answers is a factor of 6p. If x is a factor of 6p, then (6p)/x needs to be an integer, and to check this, you need to do the division. Note that is prime, and > 3; it must be one of 5,7,11,13,17,...

A. 6p / p^2 = 6/p = (3)(2)/p, not an integer (since p is prime & > 3)

B. 6p / 6p = 1, an integer

C. 6p/ 3p = 2, an integer

D. 6p/2p = 3, an integer

E. 6p/3 = 2p, an integer

The reason studyhall tells you to divide is because it reveals the answer. You shouldn't have to actually "divide" the numbers though - you should look at the answers and immediatly

see:6p is obviously a factor of 6p

3p is obviously a factor of 6p

2p is obviously a factor of 6p

3 is obviously a factor of 6p (3 is a factor of the coefficient, 6, therefore a factor of 6p as well)

The answer must be A by elimination.

3rd ed./ 326 / 13 / http://talk.collegeconfidential.com/showthread.php?p=1223717#post1223717

If x = yz, which of the following must be equal to xy?

(A) yz

(B) yz^2

(C) (y^2)z

(D) x/y

(E) z/x

This one seems simple at first but trips me up for some reason. Any solutions would be greatly appreciated.

It tripped me up, too, at first.

please help

www.flocabulary.com

3rd ed./ 312 / 10 / http://talk.collegeconfidential.com/showthread.php?t=149416

a very good resource on "Real SATs" questions is on the "Study Hall" web site

http://www.studyhall.com/webpage2000/MainAnsSheet.html

Excluding rest stops, it took Juanita a total of 10 hours to hike from the base of a mountain to the top and back down again by the same path. If while hiking she averaged 2 kilometers per hour going up and 3 kilometers per hour coming down, how many kilometers was it from the base to the top of the mountain?

a) 8

b) 10

c) 12

d)20

e) 24