GRE Math Practice Test II
"The Adaptive Test
P. 3 (Problems 20 - 28)
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Introduction
Because of the enormity of this
part,
I split the adaptive test into three pages. P. 1 has the questions to all
levels of the first 9 problems. P.
2 has the questions to all levels of problems 10 -
19. P. 3 has the questions to all levels of problems 20 -
28.
If you
are looking at this page before P. 1, then you need to go to P. 1
of the adaptive test to start this adaptive test.
Printing
warning:
Note that because of all of the levels per problem, there are a lot of
questions on this page. So if you wish to print this out, note
that there
will be a lot of pages to print.
|
Practice Test II, Problems 20 - 28
20 - 1. Jill traveled 500 miles at a
constant rate for 8 hours. What was the constant rate that she was going? |
B)
61 mph
C)
65 mph
D)
60 mph
E)
62.5 mph
|
20 - 2. Courtney took a two day
trip. On the first day, she traveled 75 mph for 9 hours. On the second day,
she traveled 60 mph for 7 hours. How far did she go on her two day
trip? |
B)
420 miles
C)
255 miles
D)
1095 miles
E)
2000 miles
|
20 - 3. Overall, Carly went an average
rate of 50 mph and it took her 8 hours to complete her journey. If she
traveled for 6 hours at 55 mph, what constant speed did she go for the remaining
2 hours? |
20 - 4. Jason took a two day trip.
On the first day, it took him 4 hours to travel 280 miles. On the second
day, it took him 6 hours to travel 390 miles. What was Jason’s
overall average rate? |
B)
65 mph
C)
67 mph
D)
67.5 mph
E)
68 mph
|
20 - 5. Sonny took a three day
trip. On the first day, it took him 10 hours to travel 500 miles. On the
second day it took him 8 hours to travel 480 miles. On the third day, it
took him 7 hours to travel 455 miles. What was Sonny’s overall
average rate? |
B)
60 mph
C)
65 mph
D)
58.3 mph
E)
57.4 mph
|
21 - 1. What is the area of a circle that
is inscribed in a square whose area is 144 square centimeters? |
A) square
cm
B) square cm
C) square cm
D) square cm
E) square cm
|
21 - 2. What is the approximate area of a
circle that is inscribed in a square whose area is 100 square centimeters? |
B)
31.4 square cm
C)
62.8 square cm
D)
75
square cm
E)
78.5 square cm
|
21 - 3. What is the approximate area of a
circle that is inscribed in a square whose area is 121 square centimeters? |
B)
380 square cm
C)
69 square cm
D)
760 square cm
E)
100 square cm
|
21 - 4. What is the area of a square that
is inscribed in a circle whose area is
square feet? |
A)
square feet
B)
50 square
feet
C)
312.5 square feet
D)
625 square feet
E)
25 square feet
|
21 - 5. What is the area of a square that
is inscribed in a circle whose area is
square feet? |
A) square
feet
B)
8 square feet
C)
4 square feet
D)
16 square feet
E)
2 square
feet
|
22 - 1.
|
Column A
Slope of the line on graph above. |
Column B
The x value of the x-intercept
of the line on the graph above. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
22 - 2.
|
Column A
Slope of the line on graph above. |
Column B
The x value of the x-intercept
of the line on the graph above. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
22 - 3.
|
Column A
Slope of the line on graph above. |
Column B
The x value of the x-intercept
of the line on the graph above. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
22 - 4.
|
Column A
Slope of the line on graph above. |
Column B
The y value of the y-intercept
of the line on the graph above. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
22 - 5.
|
Column A
Slope of the line on graph above. |
Column B
The y value of the y-intercept
of the line on the graph above. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
23 - 1.
|
Column A
Difference of profits between Product A
and Product B in the year 1996. |
Column B
The median of all of the profits for 1995 to 1999 for Product B. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
23 - 2.
|
Column A
Difference of profits between Product A and
Product B in the year 1996. |
Column B
The mean of all of the profits for 1995 to 1999 for Product B. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
23 - 3.
|
Column A
The median of all of the profits for 1995 to
1999 for Product B. |
Column B
The mean of all of the profits for 1995 to 1999 for Product B. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
23 - 4.
|
Column A
The mode of all of the profits for 1995 to
1999 for Product B. |
Column B
The mean of all of the profits for 1995 to 1999 for Product B. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
23 - 5.
|
Column A
The mode of all of the profits for 1995 to 1999 for Product A. |
Column B
The mean of all of the profits for 1995 to 1999 for Product A. |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
24 - 1.
For what year shown did the profits of Product A exceed the
profits
of Product B by the greatest number?
|
24 - 2.
What was the total profits of Product B from 1995 to 1998? |
B)
$200,000
C)
$145,000
D)
$95
E)
$95,000
|
24 - 3.
What was the difference in total profits between Product A
from 1995 to 1999 and Product B from 1995 to 1999?
|
B)
$550
C)
$5,500
D)
$55,000
E)
$550,000
|
24 - 4.
The percent increase in profits for Product A from 1995 to
1996 was approximately what %?
|
24 - 5.
The percent decrease in profits for Product A from 1997 to
1998 was approximately what %?
|
25 - 1.
Given that line XY is parallel to line WZ and angle A is 105
degrees, what is the measurement of angle H in degrees?
|
B)
75
C)
90
D)
180
E)
Not enough information is given
to answer this question.
|
25 - 2.
Given that line XY is parallel to line WZ and angle A is 105
degrees, what is the measurement of the sum of angles C and H in degrees?
|
B)
75
C)
90
D) 180
E)
Not enough information is given
to answer this question.
|
25 - 3.
Given that line XY is parallel to line WZ and angle A is 105
degrees, what is the relationship between the measurements of angle F and angle
D?
|
A) They are equal to each other.
B)
They sum up to be 90 degrees.
C)
They sum up to be 105 degrees.
D)
They sum up to be 180 degrees.
E)
Not enough information is given
to answer this question.
|
25 - 4.
Given that line DE is parallel to line BC, angle 2 is equal to
angle 3, and angle 1 is a right angle, what is the measure of angle 5 in
degrees?
|
B)
90
C)
135
D)
180
E)
Not enough information is given
to answer this question.
|
25 - 5.
Given that line DE is parallel to line BC, angle 2 is equal to
angle 3, and angle 1 is a right angle. What is the sum of the measures of
angles 3, 4, and 5 in degrees?
|
B)
90
C)
180
D)
225
E)
Not enough information is given
to answer this question.
|
26 - 1.
If B is the center of the given circle above, what is the
measurement
in degrees of arc AEC?
|
B)
105
C)
250
D)
255
E)
Not enough information is given
to answer this question.
|
26 - 2.
If B is the center of the given circle above, approximately
what percent of the outer circle does arc ADC represent?
|
B)
15%
C)
29%
D)
71%
E)
Not enough information is
given to answer this question.
|
26 - 3.
If B is the center of the given circle above, approximately
what percent of the outer circle does arc AEC represent?
|
B)
15%
C)
29%
D)
71%
E)
Not enough information is
given to answer this question.
|
26 - 4.
If B is the center of the given circle above and the radius is
r, what is the circumference of arc ADC in radians?
|
B)
C)
D)
E)
Not enough information
is given to answer this question.
|
26 - 5.
If B is the center of the given circle above and the radius is
r,
what is the circumference of arc AEC in radians?
|
B)
C)
D)
E)
Not enough information
is given to answer this question.
|
27 - 1.
|
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
27 - 2.
|
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
Column A
Number of sides of a octagon |
Column B
Number of diagonals in a octagon |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
27 - 4. ABCD is a rectangle with width 5
and area 30. |
Column A
Area of the rectangle |
Column B
Perimeter of the rectangle |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
27 - 5. ABCD is a rectangle with length 4
and area 12. |
Column A
Area of the rectangle |
Column B
Perimeter of the rectangle |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
28 - 1.
and |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
28 - 2.
and |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
28 - 3.
and |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
28 - 4.
and |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
28 - 5.
and |
A) Column A’s quantity is
greater.
B)
Column B’s quantity is greater.
C)
The quantities are the same.
D)
The relationship cannot be determined
from the information given.
|
You have finished the
test!!!!
If you wish to have a quick check of your answer, go to the
Answer Key Only link found below. At this link you will find the answers to
all of the levels of each question. There are links to the Answer
Key With Explanations, in case you missed a problem and have a question
about it.
If you wish to have an explanation to each problem, go to the
Answer Key With Explanations link found below. When you get to this page
it will have links to the mathematical area(s) that each question comes
from in case you need to go back and review.
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All contents copyright (C) 2003 - 2008, WTAMU and Kim Seward. All rights reserved.
Last revised on September 15, 2008 by Kim Seward. |
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