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GRE Math Practice Test I
"The Warm-up Test"


This test is what I call a warm-up test.  It is designed to show you what areas of math you are still needing to work on before you take the real GRE.

If this is your first visit to our website, please read the disclaimer.

 
THE REAL GRE TEST THAT YOU WILL BE TAKING ON THE COMPUTER IS AN ADAPTIVE TEST:
 
Adaptive means that the level of the questions that you get are dependent on if you answer previous questions correctly or not.  The higher the level of question the higher the overall weight that problem has. 

Also note that the design of the test is different from this practice test.  All the problems on this test are on the same page.  On the GRE test you will be taking, one problem at a time will appear on your computer screen.  When a problem appears, you will click on the answer at which point it proceeds to the next problem.

 

IF THIS PRACTICE TEST IS SET UP DIFFERENTLY THAN THE REAL TEST, HOW WILL THIS HELP ME?????  Good question if I do say so myself.
 

You never know the exact questions you are going to get on the test.  However, we do know the concepts over which you will be tested.  I believe that if you have the mathematical concepts down, then you should be able to answer a wide variety of questions that use those concepts.

 

HOW TO EFFECTIVELY USE THIS WEBPAGE:
 

On a piece of paper keep track of your answers to this test. 

You have 45 minutes to take the quantitative section of the real test, so to get the most out of this you may want to time yourself at 45 minutes to see how you do against the clock.

You DO NOT get formulas on the actual test, so practice it that way.

You CANNOT use a calculator on the real test, so practice it that way.

You can use scratch paper on the actual test, so by all means practice it that way.

Check your answers.  At the end of the test you will see a link to an answer key and an answer key with explanations.  When you get to answer key with explanations page it will have links to the mathematical area(s) that each question comes from in case you need to go back and review.

 
Practice Test I

 
 
1.
Column A
Column 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.

 
 
2.    x and y are integers: 

 
Column A
x		 Column B
y

 
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.

 
 
3. 
Column A
.25% of .25		 Column 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.

 
 
4.  If 25 students in one class had an average of 93% and 20 students from another class had an average of 98%, approximately what is the average in percent of all 45 students?

 
A)  94

B)  97

C)  95.5

D)  95.2

E)  93

 
 
5.  A water treatment plant is built with two cylindrical tanks to contain water for a town.  Each tank has a radius of 10 feet and a depth of 20 feet.  If there are about 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant at any one time?

 
A)  6280

B)  12560

C)  94200

D)  2000

E)  47100

 
 
6. 
Column A
Probability of randomly selecting 
a given name out of a hat 
containing 12 different names.		 Column B
.08

 

 
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.

 
 
7.  If     what is the value of ?

 
A)  -13

B)  -6

C)  -23

D)  23

E)  13

 
 
8.   x is a positive integer: 

 
Column A
5 		 Column B
y

 
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.

 
 
9. 
Column A
Column 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.

 
 
10. 

What is the area of the rectangle above?

 
A) 

B)  120

C)

D)  60

E)

 
 
11.
Column A
Column 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.

 
 
12.  What is the area of a circle that is inscribed in a square whose area is 81 square inches?

 
A) square inches

B)square inches

C)square inches

D)square inches

E)square inches

 
 
13.  Being a conscientious driver, Suzy stayed at or below the speed limit while traveling down the interstate.  Overall, she went an average rate of 65 mph and it took her 10 hours to complete her journey.  If she traveled for 6 of her 10 hours at 70 mph, what constant speed did she go for the remaining 4 hours to obtain the overall 65 mph average?

 
A)  65 mph

B)  60 mph

C)  57.5 mph

D)  59.5 mph

E)  62.5 mph

 
 
14. 

 
A)  4

B)  7/3

C)  1/4

D) -1/4

E)  3/7

 
 
15. 

Find the area of the graph above enclosed by figure ABCD.

 
A)  36

B)  30

C)  42

D)  72

E)  84

 
 
16. 

 
Column A
Column B
-10

 
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.

 
 
17.  If account codes for a certain company are assigned as follows: two letters and then three one digit numbers, how many different account codes can be made?  Note that letters and digits can be repeated.

 
A)  1,757,600

B)  676,000

C)  260

D)  67,600

E)  6,760

 
 
18. 

In the figure above, XY is a line segment.  What is the value of ? 

Note that a and b are measured in degrees.

 
A)  -1/7

B)  7

C)  3/4

D)  -7

E)  Not enough information is given to answer this question

 
 
19. 

 
A) 

B) 

C) 

D) 

E) 

 
 
20. 

 
Column A
The ratio of juniors to seniors at 
City College in the 
Fall 2000 semester.		 Column B
The ratio of seniors to juniors at 
City College in the 
Fall 2000 semester.

 
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.

 
 
21. 

If enrollment was 17% higher for freshmen at City College in the Fall 2000 semester than the Fall 1999 semester, approximately what was the enrollment of freshman in the Fall 1999 semester?

 
A)  3590

B)  4200

C)  2415

D)  1785

E)  4914

 
 
22. 

If the areas of sectors in the circle graphs are drawn in proportion to the percentages shown, what is the measure, in degrees, of the central angle sector representing the percentage of juniors enrolled in the Fall 2000 semester? 

 
A)  180 degrees

B)  144 degrees

C)  90 degrees

D)  72 degrees

E)  50 degrees

 
 
23.   3, 3, 4, 4, 5, 5

 
Column A
Mode of the numbers listed		 Column B
Standard deviation of the numbers listed

 
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. 

 

What is the mean of the advertising costs from 1999 to 2002? 

 
A)  $48,750

B)  $19,500

C)  $50,000

D)  $60,000

E)  $48.75

 
 
25. 

 

The percent decrease in profits from 1999 to 2000 was approximately what percent? 

 
A)  20

B)  30

C)  40

D)  50

E)  60

 
 
26. 

Looking at the figure above, if triangle ABC is an equilateral triangle and line BC is parallel to line DE, what is the measure of angle 5? 

 
A)  60 degrees

B)  90 degrees

C)  120 degrees

D)  180 degrees

E)  Not enough information is given to answer this question

 
 
27.

 
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.

 
 
28.  What is the solution(s) to ?

 
A)  x = 0

B)  x = 2, x = -2

C)  x = 3, x = -3

D)  x = 6, x = -6

E)  x = 9, x = -9

 
 
 
Answer Key Only
Answer Key With Explanations

 
 

 
 


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Last revised on August 3, 2003 by Kim Peppard.