1. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

2. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

( x - 2y ) (x + 2y ) = 4

Quantity A: x2 - 4y2
Quantity B: 8

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

3. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

A certain recipe requires 3/2 cups of sugar and makes 2 dozen cookies.
(1 dozen = 12) 

Quantity A : The amount of sugar required for the same recipe to make 30 cookies
Quantity B : 2 cups

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

4. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

A power station is located on the boundary of a square region that measures 10 miles on each side. Three substations are located inside the square region. 

Quantity A : The sum of the distances from the power station to each of the substations 
Quantity B : 30 miles

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

5. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

6 < x < 7, y=8

Quantity A : x/y
Quantity B : 0.85

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

6. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

O is the center of the circle and the perimeter of △AOB is 6. 

Quantity A : The circumference of the circle
Quantity B : 12

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

7. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

Quantity A : The standard deviation of a set of 5 different integers, each of which is between 0 and 10
Quantity B : The standard deviation of a set of 5 different integers, each of which is between 10 and 20

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

8. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

Quantity A : x(x2)4
Quantity B : x(x3)3
( x > 1)

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

9. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

Quantity A : | x | + | -2 |
Quantity B : | x - 2 |
( x ≠ 0 )

• 1
   Quantity A is greater.
• 2
   Quantity B is greater.
• 3
   The two quantities are equal.
• 4
   The relationship cannot be determined from the information given.

10. This question has five answer choices. Select the best one of the answer choices given.

7x + 3y = 12
3x + 7y = 6

• 1
   2/3
• 2
   3/2
• 3
   1
• 4
   4
• 5
   6

11. This question has five answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all five of the answer choices.

In triangle ABC, the measure of angle A is 25° and the measure of angle B is greater than 90°. Which of the following could be the measure of angle C?  Indicate all possible values.

• 1
   12
• 2
   15
• 3
   45
• 4
   50
• 5
   70

12. This question has five answer choices. Select the best one of the answer choices given.

What is the least integer n such that 1/2n < 0.001 ?

• 1
   10
• 2
   11
• 3
   500
• 4
   501
• 5
   There is no such least value.

13. This question has five answer choices. Select the best one of the answer choices given.

In the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow 10 feet long. If the lengths of the shadows are proportional to the heights of the poles, what is the height, in feet, of the taller pole?

• 1
   10
• 2
   12
• 3
   14
• 4
   15
• 5
   18

14. This question has five answer choices. Select the best one of the answer choices given.

If a is the smallest prime number greater than 21 and b is the largest prime number less than 16, then ab =

• 1
   299
• 2
   323
• 3
   330
• 4
   345
• 5
   351

15. This question has five answer choices. Select the best one of the answer choices given.

List R: 28, 23, 30, 25, 27
List S: 22, 19, 15, 17, 20 

The median of the numbers in list R is how much greater than the median of the numbers in list S ?

• 1
   8
• 2
   10
• 3
   12
• 4
   13
• 5
   15

16. This question has three answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all three of the answer choices.

The total number of recording titles distributed by music distributors L and M is 9,300. The number of recording titles distributed by L is 7,100, and the number of recording titles distributed by M is 5,200. Which of the following statements must be true?

• 1
   More than half of the titles distributed by L are also distributed by M.
• 2
   More than half of the titles distributed by M are also distributed by L.
• 3
   No titles are distributed by both L and M.

17. This question has five answer choices. Select the best one of the answer choices given.

Of the 750 participants in a professional meeting, 450 are females and 1/2 of the female and 1/4 of the male participants are less than thirty years old. If one of the participants will be randomly selected to receive a book prize, what is the probability that the person selected will be less than thirty years old?

• 1
   1/8
• 2
   1/3
• 3
   3/8
• 4
   2/5
• 5
   3/4

18. This question has three answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all three of the answer choices.

If c and d are positive integers and m is the greatest common factor of c and d, then m must be the greatest common factor of c and which of the following integers?

• 1
   c + d
• 2
   2 + d
• 3
   cd
• 4
   2d
• 5
   d²

19. This question has five answer choices. Select the best one of the answer choices given.

In the xy-plane, what is the slope of the line whose equation is 3x - 2y = 8?

• 1
   -4
• 2
   -8/3
• 3
   2/3
• 4
   3/2
• 5
   2

20. This question has five answer choices. Select the best one of the answer choices given.

How many of the six corporate sectors listed each contributed more than $60 million to the arts in both 1988 and 1991?

• 1
   One
• 2
   Two
• 3
   Three
• 4
   Four
• 5
   Five

21. This question has five answer choices. Select the best one of the answer choices given.

From 1988 to 1991, which corporate sector decreased its support for the arts by the greatest dollar amount?

• 1
   Services
• 2
   Manufacturing
• 3
   Retail
• 4
   Wholesale
• 5
   Other

22. This question has five answer choices. Select the best one of the answer choices given.

Of the retail sector’s 1991 contribution to the arts, 1/4 went to symphony orchestras and 1/2 of the remainder went to public television. Approximately how many million dollars more did the retail sector contribute to public television that year than to symphony orchestras?

• 1
   5.2
• 2
   6.3
• 3
   10.4
• 4
   13.0
• 5
   19.5

23. This question does not have any answer choices; it is a numericentry question. To answer this question, enter a number in the grid provided below. The number can include a decimal point, and can be positive, negative, or zero. The number entered cannot be a fraction.

The two corporate sectors that increased their support for the arts from 1988 to 1991 made a total contribution in 1991 of approximately how many million dollars?
 Give your answer to the nearest 10 million dollars.

24. This question does not have any answer choices; it is a numericentry question. To answer this question, enter a number in the grid provided below. The number can include a decimal point, and can be positive, negative, or zero. The number entered cannot be a fraction.

The total amount of Judy’s water bill for the last quarter of the year was $40.50. The bill consisted of a fixed charge of $13.50 plus a charge of $0.0075 per gallon for the water used in the quarter. For how many gallons of water was Judy charged for the quarter?

25. This question does not have any answer choices; it is a numericentry question. To answer this question, enter a number in the grid provided below. The number can include a decimal point, and can be positive, negative, or zero. The number entered cannot be a fraction.

The average (arithmetic mean) of the 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, what is the average of the other 2 numbers?