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GRE Math Practice Test II
"The Adaptive Test"
P. 2 (Problems 10 - 19)

  
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.  This page, 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 10 - 19

  

10 - 1. 

Column A
Column B
6

  

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 - 2. 

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 - 3. 

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 - 4. 

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 - 5. 

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.

 


11 - 1. 

If the radius of the equal semicircles is r and the length of the rectangle is 3r, which of these expressions represents the perimeter of this object?
  

A)    

B)  

C) 

D) 

E) 


 


11 - 2. 

Using the figure shown, find the area of the middle region inside the square. 
  

A) 

B) 

C) 

D) 

E) 


 


11 - 3. 

A ramp 5 feet long is leaning against a raised platform which is 3 feet above the ground. What is the distance from the ramp’s contact point with the ground and the base of the platform? 
  

A)   3 

B)   4 

C)   5 

D)  2 

E)   Not enough information to answer this question.

 


11 - 4. 

A ramp 10 feet long is leaning against a raised platform which is 5 feet above the ground. What is the distance from the ramp’s contact point with the ground and the base of the platform? 
  

A)   75 

B)   125 

C) 

D) 

E)   Not enough information to answer this question.

 


11 - 5. 

What is the area of the rectangle above?
  

A) 

B) 

C) 

D)   35 

E)   Not enough information to answer this question.

 


12 - 1. 

=
  

A)   40 

B)   41 

C)   38 

D)   26 

E)   25

 


12 - 2. 

=
  

A)   79 

B)   29 

C)   -113 

D)  -163 

E)   13

 


12 - 3. 

=
  

A)

B)

C)

D)

E)

 


12 - 4. 

  = 
  
 

A) 

B) 

C) 

D) 

E) 


 


12 - 5. 

  = 
  

A) 

B) 

C) 

D)    2 

E)    3

 


13 - 1. 


  

A)

B)

C)

D)

E)

 


13 - 2. 

  

A) 

B) 

C) 

D) 

E) 


 


13 - 3. 

  

A) 

B) 

C) 

D) 

E) 


 


13 - 4. 

  

A)   

B) 

C) 

D) 

E) 


 


13 - 5. 


 

A)

B)

C)

D)

E)

 


14 - 1.  A student got 80% of 40 questions correct.  How many questions did he get correct?
  

A)  80 

B)  40 

C)  3.2 

D)  8 

E)  32

 


14 - 2.   Quiz scores on a history exam are 9, 9, 7, 10, and 5.  If there is one more quiz, what would need to be made on that quiz to have an overall average of 7?
  

A)  2 

B)  3 

C)  7 

D)  8 

E)   9

 


14 - 3.   A student has quiz scores of 70, 75 and 55.  If tests count as 2 quiz grades, what would he have to make on a test, so that the overall average is 70?
  

A)  70 

B)  80 

C)  65 

D)  75 

E)  85

 


14 - 4.   If 30 students in one class had an average of 80% and 10 students from another class had another average of 90%, what is the average in % of all 40 students?
  

A)  85 

B)  82 

C)  82.5 

D)  85.5 

E)  87.5

 


14 - 5.   If 5 students in one class had an average of 55%, if 15 students in one class had an average of 80% and 7 students from another class had another average of 92%, approximately, what is the average in % of all 27 students?
  

A)  78.5 

B)  75.7 

C)  75 

D)  80 

E)  70

 


15 - 1. and

 

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.

 


15 - 2. and
  

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.

 


15 - 3. and
 

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.

 


15 - 4. 
  

Column A
Column B
9
  

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.

 


15 - 5. 
  

Column A
Column B
8

  

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.

 


16 - 1. 

How much was spent on rent in 2002?
  

A)  $2250 

B)   $6750 

C)  $4500 

D)  $675 

E)  $5250

 


16 - 2. 

What was the total amount spent on food and clothing in 2002?
  
 

A)   $5000 

B)   $7500 

C)   $5250 

D)   $2250 

E)   $5700

 


16 - 3. 

How much more money was spent on clothing than insurance in 2002?

  

A)    $1500 

B)    $2250 

C)    $750 

D)    $1000 

E)     $1400

 


16 - 4. 

How much more was spent on rent and insurance than on food in 2002?
  
 

A) $1500 

B) $4500 

C) $6750 

D) $5250 

E)  $2250

 


16 - 5. 

If the amount that was spent on food is 5% higher in 2002 than 2001, approximately what amount was on food in 2001?

  

A) $5250 

B) $5000 

C) $250 

D) $4500 

E) $5500

 


17 - 1. 
  

Column A
The ratio of food to clothing.		 Column B
The ratio of clothing to food.

  

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 - 2. 

  

Column A
The ratio of food to rent.		 Column B
The ratio of rent to food.

  

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 - 3. 
  

Column A
The ratio of food to insurance.		 Column B
The ratio of insurance to food.

  

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 - 4. 
  

Column A
The ratio of insurance and rent to food and clothing.		 Column B
The ratio of food and clothing to insurance and rent.
  

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 - 5. 
  

Column A
The ratio of food and insurance to clothing and rent.		 Column B
The ratio to clothing and rent to food an insurance.

  

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.

 


18 - 1. 

Find the area of rectangle ABCD shown above.
  

A)   4 

B)   18 

C)   10 

D)    8 

E)   12

 


18 - 2. 

Find the area of the circle shown above.

  

A)

B)

C)

D)

E)

 


18 - 3. 

Find the area of triangle ABC shown above.
  

A)   14 

B)    28 

C)    16 

D)    4 

E)    7

 


18 - 4. 

Find the area enclosed by BCDE shown above.

  

A)   5 

B)   40 

C)   45 

D)   35 

E)   30

 


18 - 5. 

Find the area enclosed by BCDE shown above.

  

A) 24.5 

B) 8 

C) 16.5 

D) 32.5 

E) 16

 


19 - 1.   What is the solution(s) to  ?

  

A)  9, -9 

B)  3, -3 

C)  0 

D)  81, -81 

E)  No real number solution

 


19 - 2.   What is the solution(s) to  ?
 


A)   0 

B)   49, - 49 

C)   98, -98 

D)   7, -7 

E)   No real number solution

 


19 - 3.   What is the solution(s) to  ?
  
 

A) 3, -3 

B) 2, -2 

C)

D) 4, 9 

E)  No real number solution

 


19 - 4.   What is the solution(s) to  ?
 


A) 0 

B)   2 

C)

D)

E)  No real number solution

 


19 - 5.   What is the solution(s) to  ?
  

A)   0 

B) 

C)   5, -5 

D) 

E)   No real number solution

 
 






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Last revised on August 18, 2003 by Kim Seward.