GRE Power Prep Plus with answers

- PPS1-Set1
- PPS1-Set2
- PPS1-Set3
- PPS1-Set4
- PPS2-Set1
- PPS2-Set2
- PPS2-Set3
- PPS2-Set4
- PPS3-Set1
- PPS3-Set2
- PPS3-Set3
- PPS3-Set4
- PPS4-Set1
- PPS4-Set2
- PPS4-Set3
- PPS4-Set4

n > 1

125n

215(n-1)

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:The area of an equilateral triangle that has sides of length 2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x

Quantity B:y

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:6

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The time taken by the car to travel the d miles at r miles per hour

Quantity B:$$\frac{d}{s}$$ hours

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

5< x< 10

Quantity A:y

Quantity B:-15

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\sqrt{R}$$

Quantity B:$$\frac{R}{10}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The median of r, s, and t

Quantity B:s

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 35%
- B . 38%
- C . 65%
- D . 68%
- E . 70%

- A . 450
- B . 475
- C . 500
- D . 525
- E . 550

Matt has 10 coins, and their values are shown in the table. If Matt randomly selects 4 of the coins, which of the following could be the total value of the 4 coins?

Indicate

- A . $0.25
- B . $0.26
- C . $0.27
- D . $0.28

x=_____

If the standard deviation of the three numbers in the list above is 4, what is the standard deviation of x+9, 21, and 20 ?

- A . 4
- B . 13
- C . 31
- D . 36
- E . 108

According to a projection made in January 2016, for each of the three years following 2015, annual sales would increase by an amount equal to $$\frac{1}{2}$$ of the increase in annual sales from 2014 to 2015. According to this projection, approximately what would annual sales be for the year 2018 ?

- A . $2,200 million
- B . $2,425 million
- C . $3,450 million
- D . $4,050 million
- E . $4,875 million

- A . For the years shown, the range of the annual earnings was greater than $30 million.
- B . From 2010 to 2015, both annual sales and annual earnings more than doubled.
- C . For each of the years shown, annual earnings were more than 1 percent of annual sales.

The number of stores owned by Star Discount in 2015 was twice the number owned by Star Discount in 2010. By approximately what percent did the average annual earnings per store increase from 2010 to 2015 ?

- A . 5%
- B . 12%
- C . 25%
- D . 33%
- E . 40%

- A . $$\frac{7}{44}$$
- B . $$\frac{3}{16}$$
- C . $$\frac{11}{28}$$
- D . $$\frac{7}{16}$$
- E . $$\frac{9}{16}$$

- A . $$\frac{6}{π^{2}}$$
- B . $$\frac{9}{π}$$
- C . 6π
- D . 9π
- E . 36π

- A . -6
- B . -3
- C . 2
- D . 3
- E . 6

_____%

The area of the shaded region inside rectangle RSTW is 28.

Quantity A:The sum of the areas of the unshaded regions inside rectangle RSTW

Quantity B:42

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

List M is formed by adding 3 to each number in list K.

Quantity A:The standard deviation of the numbers in list M

Quantity B:7

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The number of students at the college who are enrolled in only one of the two classes

Quantity B:30

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:|x|

Quantity B:9

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x

Quantity B:y

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

n is a positive integer.

Quantity A:$$p^{n}$$

Quantity B:$$p^{-n}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

According to the graph, the kiosks of which of the following two types combined account for $$\frac{6}{25}$$ of all the kiosks?

- A . Entertainment and retail
- B . Entertainment and financial services
- C . Entertainment and travel/tourism
- D . Communications and government
- E . Retail and financial services

If the average (arithmetic mean) of the 5 numbers in the list above is 1.0, what is the value of y ?

- A . 0.2
- B . 0.4
- C . 0.6
- D . 0.8
- E . 1.0

- A . 5
- B . 6
- C . 7
- D . 8
- E . 9

Indicate

- A . 2
- B . 4
- C . 6
- D . 8

- A . 16
- B . 19
- C . 20
- D . 33
- E . 35

- A . 60%
- B . 30%
- C . 20%
- D . 10%
- E . 6%

(1) The total population was 260,341,000.

(2) Age-group determined by age, in years, at last birthday.

Approximately how many people were age 24 years or younger?

- A . 25 million
- B . 36 million
- C . 68 million
- D . 87 million
- E . 93 million

(1) The total population was 260,341,000.

(2) Age-group determined by age, in years, at last birthday.

The median age of the population is in which of the four age-groups shown?

- A . 17 and younger
- B . 18 to 24
- C . 25 to 44
- D . 45 and older
- E . It cannot be determined from the information given.

(1) The total population was 260,341,000.

(2) Age-group determined by age, in years, at last birthday.

Which of the following information, if any, together with the information given, is sufficient to determine the average (arithmetic mean) age for the population?

- A . The number of people in each age-group
- B . The average age for each age-group
- C . The median age for each age-group
- D . The median age for the population
- E . No additional information is needed; the information given is sufficient.

Indicate

- A . 10:00 in the morning
- B . 11:00 in the morning
- C . 12:00 noon
- D . 1:00 in the afternoon
- E . 2:00 in the afternoon
- F . 3:00 in the afternoon
- G . 4:00 in the afternoon

- A . 4
- B . 10
- C . 20
- D . 24
- E . 32

- A . $18.30
- B . $13.75
- C . $6.10
- D . $5.35
- E . $4.60

$$2^{2x-1}$$ =_____

A number r is to be selected at random from set S. Quantity A:The probability that the value of $$(-1)^{r^{2}}$$ will be 1 Quantity B:$$\frac{1}{2}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{y+1}{4}$$

Quantity B:$$\frac{z+1}{8}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:$$\frac{\sqrt[3]{6}}{2}+\frac{\sqrt[3]{6}}{3}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The area of square PQRS

Quantity B:The area of circle C

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The ratio of PW to PR in rectangle PRSW is equal to the ratio of PQ to QT in rectangle PQTW.

Quantity A:x

Quantity B:20

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The amount of interest earned on the $10,000 investment

Quantity B:The amount of interest earned on the $8,000 investment

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The slope of the line that passes through (r,s) and (t,u)

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The readings of the electric meter for a certain business for each of 10 months are listed above. What is the median of the readings?

- A . 16.0
- B . 16.1
- C . 16.2
- D . 16.25
- E . 16.3

Indicate

- A . 1,200
- B . 1,500
- C . 1,600
- D . 1,800
- E . 2,500
- F . 3,000

- A . 80.36≤w≤83.64
- B . 88.56≤w≤112.2
- C . 119.50≤w≤132.64
- D . 130.36≤w≤133.64
- E . 131.55≤w≤137.56

- A . s-t is divisible by 5.
- B . s+t is divisible by 10.
- C . st is divisible by 25.
- D . $$s^{2}-t^{2}$$ is divisible by 5.
- E . $$s^{2}+t^{2}$$ is divisible by 25.

The figure shows some of the dimensions, in meters, of a building with eight sides. The perimeters of rectangular regions X, Y, and Z are 28, 34, and 22 meters, respectively. What is the perimeter of the building, in meters?

- A . 60
- B . 64
- C . 70
- D . 74
- E . 84

- A . x=15
- B . x=9
- C . x=6
- D . x=-3
- E . x=-6

For 2008 the annual earnings of the European division were approximately what percent of the combined annual earnings of the two divisions?

- A . 25%
- B . 40%
- C . 50%
- D . 60%
- E . 75%

If the annual earnings of the European division for 2009 represented 7 percent of the division`s annual revenues, approximately how much were its annual revenues?

- A . $11 billion
- B . $21 billion
- C . $37 billion
- D . $105 billion
- E . $214 billion

For the years shown, the range of the annual earnings of the United States division was approximately how much greater than the range of the annual earnings of the European division?

- A . $1.5 billion
- B . $2.7 billion
- C . $3.6 billion
- D . $4.3 billion
- E . $5.0 billion

- A . $$\frac{x+y+z}{4}$$
- B . $$\frac{x+y+z}{3}$$
- C . $$\frac{3(x+y+z)}{4}$$
- D . $$\frac{4(x+y+z)}{3}$$
- E . 12(x+y+z)

_____

- A . 2.5%
- B . 15%
- C . 27.3%
- D . 35%
- E . 37.5%

Indicate

- A . x<$$\frac{1}{x}$$
- B . $$x^{2}$$ < x
- C . $$ x^{3} < x^{2}$$

Quantity A:The average (arithmetic mean) amount donated per person in the group

Quantity B:$12.50

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The number of points at which the graph of $$y=f_{(x)}$$ intersects the x-axis in the xy-plane

Quantity B:3

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The average (arithmetic mean) of the 4 numbers r, v, y, and z

Quantity B:The average (arithmetic mean) of the 5 numbers r, v, x, y, and z

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The radius of the cylinder

Quantity B:5

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The sequence shown is defined by $$C_{1}=5$$ and $$C_{j+1}=\frac{1}{5}C_{j}$$ for each positive integer j.

Quantity A:$$C_{10}$$

Quantity B:$$5^{15}C_{25}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . $128
- B . $144
- C . $240
- D . $256
- E . $512

Indicate

- A . $$\frac{1}{8}$$
- B . $$\frac{1}{6}$$
- C . $$\frac{1}{2}$$
- D . $$\frac{4}{3}$$

- A . 28
- B . 27
- C . 17
- D . 13
- E . 9

In the figure, all intersecting line segments meet at right angles. Which of the following represents the perimeter of the figure in terms of x ?

- A . 3x+15
- B . 4x+9
- C . 5x+19
- D . 6x+16
- E . 8x+18

- A . p
- B . 2p
- C . 3p
- D . 1-p
- E . 1-2p

- A . 1
- B . 3
- C . 5
- D . 6
- E . 7

Total number of commuters in Country S in June 2016: 8 million

If 75 percent of the commuters were local commuters and if 20 percent of the local commuters used buses as their primary mode of transportation, what percent of all commuters who used buses as their primary mode of transportation were local commuters?

- A . 6%
- B . 15%
- C . 30%
- D . 60%
- E . 75%

Total number of commuters in Country S in June 2016: 8 million

For commuters who used car pools as their primary mode of transportation, the average (arithmetic mean) number of commuters per car pool vehicle was 2.5. Which of the following is closest to the total number of car pool vehicles for these commuters?

- A . 0.02 million
- B . 0.13 million
- C . 0.32 million
- D . 0.80 million
- E . 1.20 million

Total number of commuters in Country S in June 2016: 8 million

From June 2016 to December 2016, the total number of commuters increased by x percent while the percent of commuters who used trains as their primary mode of transportation remained the same. If the number of commuters who used trains as their primary mode of transportation increased by 16,000 from June to December, what is the value of x ?

- A . 1
- B . 2
- C . 3
- D . 4
- E . 5

- A . $52
- B . $53
- C . $54
- D . $55
- E . $56

Which of the following statements

Indicate

- A . The median of the integers in the list is 3.
- B . The range of the integers in the list is 5.
- C . The sum of the greatest integer and the least integer in the list is 7.

- A . $$\frac{n+2}{n(n-3)}$$
- B . $$\frac{2n-3}{n(n-3)}$$
- C . $$\frac{3n-3}{n(n-3)}$$
- D . $$\frac{3n-6}{n(n-3)}$$
- E . $$\frac{3n-3}{2n(n-3)}$$

In the figure, lines k, l, and m intersect at a single point, which is the vertex of all the angles shown. If x=z, y=2w, and v=110 , what is the ratio of x to w ?

Give your answer as a fraction.

0< x< y< 1

y-x

$$(x-y)^{2}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:N

Quantity B:$$\frac{1}{2}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The average (arithmetic mean) price per share that James paid for all of the shares of stock he bought last Monday

Quantity B:$10.00

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

6x+2cy=40

The system of equations shown has a solution, where c is a constant.Quantity A:c

Quantity B:1

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{q}{6}+\frac{r}{6}+\frac{s}{6}+\frac{t}{6}+\frac{u}{6}+\frac{v}{6}$$

Quantity B:6

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x+y+z

Quantity B:360

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In the figure shown, two rectangular regions overlap to form a triangular region, which is shaded. The perimeters of the rectangles are 15 and 21, and the perimeter of the triangle is 6.

Quantity A:The sum of the lengths of the thick line segments

Quantity B:30

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

$$ 2^{x}-3y=20 $$

Quantity A:y

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 10.0
- B . 10.5
- C . 11.0
- D . 12.0
- E . 12.5

The equation $$C=\frac{5}{9}(F-32)$$ represents the relationship between temperature C in degrees Celsius and the corresponding temperature F in degrees Fahrenheit. The graph shows the high temperature, in degrees Fahrenheit, on each day of a certain week. Which of the following is closest to the range of the high temperatures for the week, in degrees Celsius?

- A . 4℃
- B . 7℃
- C . 8℃
- D . 12℃
- E . 14℃

- A . 46
- B . 50
- C . 54
- D . 58
- E . 62

All of the students in an English class took a test, and each student received a test score that was a whole number between 60 and 100, inclusive. The table shows the number of students who received a test score in each of four score intervals. Which of the following numbers could be the median test score for all of the students?

Indicate

- A . 85
- B . 80
- C . 75
- D . 70
- E . 65
- F . 60

For mass-market books in 2015, which of the following is closest to the ratio of the dollar amount of sales of adult hardcover books to the dollar amount of sales of juvenile hardcover books?

- A . 7 to 2
- B . 5 to 2
- C . 4 to 1
- D . 3 to 1
- E . 2 to 1

If the sales of mass-market adult hardcover books accounted for 33 percent of mass-market book sales in 2010, by approximately what percent did the dollar amount of sales of this type of book increase from 2010 to 2015 ?

- A . 20%
- B . 30%
- C . 40%
- D . 50%
- E . 60%

In a study of online news sources, computer users were surveyed to determine what computer sources they used for online news. The responses of those surveyed are summarized in the table shown. If 15 percent of those surveyed responded that they used both newspaper and magazine websites, what percent of those surveyed used newspaper websites but not magazine websites?

_____%

- A . π
- B . 2π
- C . $$2π^{2}$$
- D . $$4π^{2}$$
- E . $$2π^{3}$$

- A . $$\frac{1}{t}$$
- B . $$\frac{t}{t^{2}+1}$$
- C . $$\frac{t^{2}+1}{t}$$
- D . $$\frac{t}{t^{2}+t+1}$$
- E . $$\frac{t^{2}+1}{t^{2}+t+1}$$

1≤|y|≤2

3≤|z|≤4

If x, y, and z satisfy the inequalities shown, what is the least possible value of |x+y+z| ?

- A . 0
- B . 1
- C . 2
- D . 3
- E . 4

Quantity A:x+y

Quantity B:-2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The median of the 11 integers

Quantity B:3

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The remainder when q is divided by 8

Quantity B:4

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Figure I and Figure II each show a small square inscribed in a large square that has sides of length 10.

Quantity A: The perimeter of the small square in Figure I

Quantity B: The perimeter of the small square in Figure II

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B: The area of a circle with radius 4x

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The number of hours required for the car to travel 240 miles at a constant rate of 3r miles per hour

Quantity B:t

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 1+x
- B . x-5
- C . $$\frac{1}{x}$$
- D . 3x
- E . $$x^{3}$$

- A . 24
- B . 48
- C . 60
- D . 72
- E . 96

- A . 210
- B . 420
- C . 840
- D . 1,260
- E . 2,520

- A . 6%
- B . 8%
- C . 9%
- D . 15%
- E . 60%

Indicate

- A . $$\frac{1}{4}$$ inch is equivalent to 5 miles.
- B . $$\frac{1}{2}$$ inch is equivalent to 10 miles.
- C . $$\frac{5}{2}$$ inches are equivalent to 50 miles.
- D . 4 inches are equivalent to 80 miles.

- A . $$x^{4}+1$$
- B . $$x^{4}-1$$
- C . $$(x+1)^{5}-2$$
- D . $$(x+1)^{5}+1$$
- E . $$(x+1)^{6}+2$$

For the countries shown, what is the range of the percents of 25 to 64 year olds with no high school diploma?

- A . 52%
- B . 59%
- C . 63%
- D . 68%
- E . 69%

For how many of the countries was the percent of 25 to 64 year olds with no high school diploma greater than the percent with a two-year college degree or higher?

- A . Three
- B . Four
- C . Five
- D . Six
- E . Seven

What is the median unemployment rate for 25 to 64 year olds in those countries for which more than 15 percent of 25 to 64 year olds had a level of educational attainment of a two-year college degree or higher?

- A . 5.6%
- B . 6.2%
- C . 6.8%
- D . 7.8%
- E . 8.8%

Country X consists of five regions-P, Q, R, S, and T. The circle graphs show the percent distributions of the population and the area of Country X, by region. Which region of Country X has the greatest population per unit of area?

- A . P
- B . Q
- C . R
- D . S
- E . T

Indicate

- A . (3,4)
- B . (6,8)
- C . (4,5)
- D . (5,4)
- E . (6,2)

In the figure shown, X is the midpoint of line segment VZ, and W and Y are the midpoints of line segments VX and XZ, respectively. What is the ratio of the length of VY to the length of WY ?

- A . 2 to 1
- B . 2 to 3
- C . 3 to 2
- D . 3 to 4
- E . 4 to 3

Quantity A:$$x^{y}$$

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The time it took the ship to travel the 40 miles

Quantity B:2 hours

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In RST, the measure of angle S is 52°, and the measure of angle T is 58°.

The length of side RS

The length of side ST

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

15 < y < 30

15 < z < 30

Quantity A:The range of the three numbers x, y, and z

Quantity B:15

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$(\frac{\sqrt{x}}{y^3})^{-1}$$

Quantity B:$$(\frac{\sqrt{y}}{x^3})^{-1}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In the xy-plane shown, point R (not shown) has coordinates (c,d), where c>0. The area of triangle PQR is 24.

Quantity A:c

Quantity B:2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$xy^{2}$$

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 6
- B . 9
- C . 10
- D . 11
- E . 12

- A . 26
- B . 27
- C . 28
- D . 30
- E . 75

- A . less than $$\frac{1}{3}$$
- B . equal to $$\frac{1}{3}$$
- C . between $$\frac{1}{3}$$ and $$\frac{1}{2}$$
- D . between $$\frac{1}{2}$$ and 2
- E . greater than 2

- A . 2 to 1
- B . 3 to 1
- C . 4 to 1
- D . 6 to 1
- E . 8 to 1

- A . -8
- B . -2
- C . $$\frac{1}{2}$$
- D . 2
- E . 8

- A . $$\frac{3}{8}$$
- B . $$\frac{1}{2}$$
- C . $$\frac{5}{8}$$
- D . $$\frac{3}{4}$$
- E . $$\frac{7}{8}$$

The number of residents who chose "Private donations" as a response to question 1 was how many more than the number who chose "Private donations" as a response to question 2 ?

- A . 232
- B . 218
- C . 194
- D . 168
- E . 128

If one resident is to be randomly selected from among the 2,000 residents, what is the probability that the selected resident`s response to question 2 was either "Local government" or "Private donations"?

- A . $$\frac{1}{4}$$
- B . $$\frac{2}{7}$$
- C . $$\frac{1}{3}$$
- D . $$\frac{2}{5}$$
- E . $$\frac{1}{2}$$

What is the greatest possible number of residents who chose the response "Local government" to both questions?

- A . 94
- B . 320
- C . 414
- D . 640
- E . 740

Indicate

- A . The total amount that Marcel paid for the television was $127.20.
- B . The purchase price of the television was $40.00 less than the list price.
- C . The purchase price of the television was 25 percent less than the list price.

- A . $$\frac{1}{7}$$
- B . $$\frac{2}{7}$$
- C . $$\frac{3}{7}$$
- D . $$\frac{4}{7}$$
- E . $$\frac{5}{7}$$

Indicate

- A . r=3,s=2 and t=-1
- B . r=-4,s=3 and t=1
- C . r=-2,s=-1 and t=1
- D . r=4,s=3 and t=-7
- E . r=4,s=-3 and t=-7

Quantity A: The standard deviation of the numbers in list K

Quantity B: The standard deviation of the numbers in list M

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The time, in

Quantity B: 3.75 minutes

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:5x^{-3} - 9x^{-2}

Quantity B:4

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In the figure shown, hexagon PQRSTU is equilateral and is inscribed in the circle with center O.

Quantity A: The length of diameter UOR

Quantity B: The length of arc RST

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:$$r^{2}+s^{2}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:|xy|-x

Quantity B:xy

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 24
- B . 25
- C . 26
- D . 27
- E . 28

- A . $0.70
- B . $1.05
- C . $1.40
- D . $1.75
- E . $2.45

- A . $$\frac{π}{4z}$$
- B . $$\frac{4}{zπ}$$
- C . $$\frac{zπ}{4}$$
- D . $$\frac{4π}{z}$$
- E . $$\frac{4z}{π}$$

The first term of the infinite sequence shown is $$\frac{7}{3°}$$, and each term thereafter has a numerator of 7 and a denominator that is 1 greater than the denominator of the preceding term. Which of the following terms of the sequence is equal to the 6th term of the sequence minus the 7th term of the sequence?

- A . 40th
- B . 42nd
- C . 44th
- D . 70th
- E . 72nd

- A . -3
- B . -6
- C . $$-\sqrt{3}$$
- D . $$-2\sqrt{3}$$
- E . $$-3\sqrt{3}$$

- A . $$\frac{3}{10}$$
- B . $$\frac{4}{10}$$
- C . $$\frac{7}{10}$$
- D . $$\frac{3}{7}$$
- E . $$\frac{4}{7}$$

To the nearest whole percent, the number of drivers who were issued 3 parking tickets is what percent greater than the number who were issued 4 or more tickets?

- A . 4%
- B . 9%
- C . 10%
- D . 11%
- E . 16%

What is the average (arithmetic mean) number of parking tickets issued to the drivers who were issued 6 or more tickets?

- A . 7.0
- B . 7.5
- C . 8.0
- D . 8.5
- E . 9.0

For the drivers who were issued parking tickets, what is the median number of tickets issued per driver?

- A . 2.0
- B . 2.5
- C . 3.0
- D . 3.5
- E . 4.0

In the figure shown, seven small circles of equal diameter are located inside a large circle. Each of the six outer small circles is tangent to the small circle in the center, to two other adjacent small circles, and to the large circle. If the diameter of the large circle is D, then the sum of the areas of the unshaded regions inside the large circle is equal to which of the following?

- A . $$\frac{πD^{2}}{36}$$
- B . $$\frac{πD^{2}}{18}$$
- C . $$\frac{πD^{2}}{9}$$
- D . $$\frac{πD^{2}}{2}$$
- E . $$\frac{7πD^{2}}{4}$$

Indicate

- A . 7,000
- B . 7,040
- C . 7,050
- D . 7,100
- E . 7,125
- F . 7,200

Give your answer as a fraction.

z=_____

Indicate

- A . 0
- B . 1
- C . 2
- D . 3
- E . 4
- F . 5

Quantity B:$$(4)(2^{x})$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$x^{2x}$$

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

x<2t

y>5t

Quantity A:$$\frac{y-x}{3}$$

Quantity B: t

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Point O is the center of the circle. Line segment OT and arc RST both have length 4.

Quantity A:x

Quantity B:60

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal..
- D . The relationship cannot be determined from the information given.

Quantity A:In the equation, the number of y-values that correspond to each x-value

Quantity B:2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{x^{2}-2}{x-1}$$

Quantity B:x+2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The average (arithmetic mean) of x and y

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B: The standard deviation of the heights of 12 people whose heights range from 60 inches to 72 inches, inclusive

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

If a company required a total storage capacity equal to the combined storage capacity of 16 small sheds, which of the following rentals would cost the least per week for the company`s storage capacity requirements?

- A . 4 medium sheds and 4 small sheds
- B . 5 medium sheds and 1 small shed
- C . 1 large shed and 4 medium sheds
- D . 2 large sheds, 2 medium sheds, and 2 small sheds
- E . 3 large sheds, 1 medium shed, and 1 small shed

In the figure, ABCD is a square, E is the midpoint of side AD, and F is the midpoint of side BC. The area of the shaded region is what fraction of the area of square region ABCD ?

- A . $$\frac{1}{8}$$
- B . $$\frac{1}{6}$$
- C . $$\frac{1}{5}$$
- D . $$\frac{1}{4}$$
- E . $$\frac{1}{3}$$

- A . 3
- B . 5
- C . 6
- D . 7
- E . 10

- A . $$\frac{7}{23}$$
- B . $$\frac{9}{23}$$
- C . $$\frac{11}{23}$$
- D . $$\frac{12}{23}$$
- E . $$\frac{13}{23}$$

In the figures shown, ABCD is a square with sides of length 12, and EFGH is a square with sides of length 9. If the ratio of the area of square ABCD to the area of square EFGH is equal to the ratio of the area of triangle PCD to the area of triangle QGH, what is the ratio of the length of PC to the length of QG ?

Give your answer as a fraction.

_____

Which of the following is closest to the fraction of the world population who were Internet users?

- A . $$\frac{1}{20}$$
- B . $$\frac{1}{10}$$
- C . $$\frac{1}{5}$$
- D . $$\frac{1}{3}$$
- E . $$\frac{1}{2}$$

- A . Africa
- B . Asia
- C . Europe
- D . Latin America/Caribbean
- E . North America

The number of Internet users in Europe and Asia was closest to what percent of the world population?

- A . 13.3%
- B . 44.6%
- C . 65.4%
- D . 68.6%
- E . 70.9%

Indicate

- A . 42,640
- B . 46,080
- C . 50,250
- D . 52,540
- E . 55,320

- A . 12
- B . 17
- C . 18
- D . 22
- E . 24

The table shows the frequency distribution of the random variable X. What is the median of the distribution of the values of X ?

- A . 1.0
- B . 1.8
- C . 2.0
- D . 2.5
- E . 3.0

_____%

Quantity A: The fraction of the students in the classroom who have green eyes

Quantity B:$$\frac{1}{12}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B: The median of the 5 consecutive integers between 5 and 11

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The length of each edge of cube T is 4.

Quantity A:The area of square S

Quantity B:The surface area of cube T

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

$$n^{2}+2n$$ is even.

Quantity A:$$(-1)^{n}$$

Quantity B:$$(-1)^{n-1}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The perimeter of

Quantity B:The perimeter of

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:In the xy-plane, the distance from the point (3,4) to the point(6,2)

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{x}{x}$$

Quantity B:$$\frac{x}{1}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

- A . 78.0%
- B . 79.2%
- C . 80.0%
- D . 80.8%
- E . 88.0%

- A . 16
- B . 22
- C . 40
- D . 48
- E . 56

If a is an integer that satisfies the inequalities shown, what is the value of a ?

a=_____

- A . 3
- B . 6
- C . 9
- D . 10
- E . 12

- A . 1
- B . 2
- C . 3
- D . 4
- E . 8

In the figure above, if line KL is parallel to line PN, what is the value of x ?

- A . 105
- B . 120
- C . 135
- D . 150
- E . It cannot be determined from the information given.

For how many of the seven categories did the value of exports increase by more than 50 percent from 2002 to 2003 ?

- A . Two
- B . Three
- C . Four
- D . Five
- E . Six

Approximately what was the percent increase in the value of the total exports from 2002 to 2003 ?

- A . 10%
- B . 20%
- C . 30%
- D . 40%
- E . 50%

If n is a 2-digit integer with units digit 5 in the equation shown, which of the following could be the units digit of m ?

- A . 1
- B . 3
- C . 5
- D . 6
- E . 8

List K consists of five numbers such that 0 < a < b < c < d < e. Which of the following statements must be true?

Indicate

- A . The range of the numbers in list K is e.
- B . The median of the numbers in list K is c.
- C . The average (arithmetic mean) of the numbers in list K is c.

- A . 10, 20, 30, 40, 50
- B . 10, 30, 30, 30, 50
- C . 10, 25, 30, 35, 50
- D . 10, 10, 30, 50, 50
- E . 20, 20, 30, 40, 40

Indicate

- A . p=10 and k=20
- B . p=10 and k=25
- C . p=20 and k=10
- D . p=20 and k=20
- E . p=30 and k=15

Quantity A:Price p if x=10 and y=30

Quantity B:Price p if x=20 and y=20

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$s+\frac{t}{u}$$

Quantity B:11

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x

Quantity B:60

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$f_{(2)}$$

Quantity B:$$f_{(-2)}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:m

Quantity B:n

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity B:$$\frac{50!}{(24!)(26!)}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

6x+8y=4

Quantity A:x

Quantity B:y

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Indicate

- A . A $360 discount
- B . A 20 percent discount followed by a $10 discount
- C . A 25 percent discount followed by a $60 discount

- A . 122
- B . 127
- C . 130
- D . 135
- E . 140

- A . 48
- B . 68
- C . 72
- D . 96
- E . 136

- A . 2 to 1
- B . 3 to 1
- C . 6 to 1
- D . 9 to 1
- E . 18 to 1

What is the perimeter of polygon ABCDE above?

- A . 34
- B . $$12\sqrt{2}+17$$
- C . $$12\sqrt{2}+22$$
- D . $$12\sqrt{3}+17$$
- E . $$12\sqrt{3}+22$$

- A . (a-b)+(-c-d)
- B . (a-c)+(b-d)
- C . (a+c)-(b+d)
- D . (a-d)+(b-c)
- E . (a+d)-(b+c)

For the years shown, what was the median of the company`s sales, in thousands of dollars?

- A . $46.4
- B . $48.5
- C . $52.0
- D . $57.6
- E . $58.8

Which of the following is closest to the average (arithmetic mean) sales of the company for the 3 years that the company experienced its greatest earnings?

- A . $59,000
- B . $60,000
- C . $62,000
- D . $65,000
- E . $67,000

The company`s sales in 1996 were approximately what percent greater than its sales in 1995 ?

- A . 10%
- B . 30%
- C . 50%
- D . 70%
- E . 90%

The figure shows the graphs, in the xy-plane, of the equations y=ax+b and y=cx+k, where a, b, c, and k are constants. Which of the following statements must be true?

Indicate

- A . c< a
- B . c> a
- C . k< b
- D . k> b

_____

- A . 4
- B . 8
- C . $$2\sqrt[3]{2}$$
- D . $$4\sqrt[3]{2}$$
- E . $$8\sqrt[3]{2}$$

- A . 30
- B . 36
- C . 41
- D . 49
- E . 52

Quantity A:$$(\sqrt{y+5}-\sqrt{y})(\sqrt{y+5}+\sqrt{y})$$

Quantity B:5

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The number of points at which the graph of $$y=g_{(x-5)}$$ intersects the x-axis

Quantity B:3

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

n and n+2 are factors of m.

Quantity A:$$\frac{m}{n}$$

Quantity B:n+2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The digit in the thousands place of x

Quantity B:6

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The product of the integers from n to p, inclusive

Quantity B:0

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{xy}{z}$$

Quantity B:75

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:x

Quantity B:85

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In the figure above, the circles centered at $$O_{1}$$ and $$O_{2}$$ have radii of equal length. If $$O_{1}O_{2}=9$$ and AB=3, what is the circumference of the circle centered at $$O_{1}$$ ?

- A . 6π
- B . 9π
- C . 12π
- D . 18π
- E . 36π

- A . 4
- B . 5
- C . 6
- D . 7
- E . 8

- A . 3,700
- B . 3,900
- C . 4,300
- D . 4,700
- E . 5,200

In the xy-plane above, what is the area of quadrilateral OABC ?

- A . 15
- B . $$13\frac{1}{2}$$
- C . $$11\frac{1}{4}$$
- D . $$10\frac{1}{2}$$
- E . 7

- A . $$\frac{2}{5}$$
- B . $$\frac{1}{2}$$
- C . $$\frac{3}{5}$$
- D . $$\frac{2}{3}$$
- E . $$\frac{3}{4}$$

- A . 48
- B . 49
- C . 50
- D . 51
- E . 52

What is the range of the average costs for the eight home remodeling projects listed?

- A . $24,100
- B . $24,700
- C . $25,400
- D . $26,100
- E . $26,800

In City X, the percent increase from 1997 to 1999 in the average cost of a deck addition was 45 percent, and the percent increase from 1994 to 1997 in the average cost of a deck addition was 26 percent. Which of the following expressions represents the average cost, in dollars, of a deck addition in City X in 1994 ?

- A . (1.45)(1.26)(9,100)
- B . (0.45)(0.26)(9,100)
- C . $$\frac{(1.26)(9,100)}{1.45}$$
- D . $$\frac{(9,100)}{(1.45)(1.26)}$$
- E . $$\frac{(9,100)}{(0.45)(0.26)}$$

For how many of the remodeling projects listed is the average return on the project when the home is sold less than 75 percent of the average cost of the project?

- A . Three
- B . Four
- C . Five
- D . Six
- E . Seven

Which of the following statements

Indicate

- A . The total number of apples and peaches was 62.
- B . The ratio of the number of apples to the total number of mangoes and peaches was 1 to 6.
- C . The ratio of the number of mangoes to the number of peaches was 43 to 47.

- A . 7
- B . 9
- C . 14
- D . 16
- E . 23

Which of the following inequalities specify values of x that satisfy the inequality above?

Indicate

- A . x<-3
- B . $$-3 < x < 0$$
- C . $$0 < x < 5$$
- D . x>5

The figure shows a circle with center A and radius 10, and a circle with center D and radius 3. AD intersects the two circles at points F and E, respectively. Line is tangent to the two circles at points B and C, respectively. If the length of FE is 12, what is the length of BC ?

Length of BC:_____

x is a positive two-digit integer with units digit 6, and y is a positive two-digit integer with tens digit 8.

The least possible value of x+y

96

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The average (arithmetic mean) of the 6 resulting remainders

Quantity B: 3.5

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

3x+2y+z=42

Quantity A:x+y+z

Quantity B:18

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The center of the circle is O and RS>ST.

Quantity A:x

Quantity B:y

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

m < t

Quantity A:mt

Quantity B:$$m^2$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{10^{3x+1}}{10^{x+3}}$$

Quantity B:$$\frac{10^{x+1}}{10^{1-x}}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The number of possible values of the product pt, where p and t are even positive integers and 30< pt< 34

1

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

A submarine`s depth, in meters below sea level, at a time t minutes after it began to dive below the sea surface is equal to $$g_{(x)}$$ for 0≤t≤6. Its diving speed, measured in meters per minute, is the rate of change in depth.

The average diving speed of the submarine for 0≤t≤3

Quantity B:The average diving speed of the submarine for 3≤t≤6

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The table shows the distribution of the grades on a chemistry exam taken by a class of 40 students. If one of the students is to be chosen at random, what is the probability that the student chosen will be one whose grade on the exam is greater than or equal to 90 ?

Give your answer as a fraction.

_____/_____

- A . 9
- B . 8
- C . 7
- D . 6
- E . 5

List K: 4, 6, 8, 10

Set M will be created by choosing 2 different numbers from list J and 1 number from list K. How many different combinations of numbers are possible for set M ?_____

- A . $$(x+1)^{2}$$
- B . (x+1)(x+2)
- C . (x+1)(x+3)
- D . $$(x+2)^{2}$$
- E . (x+2)(x+4)

Point B is the center of the circle, the circle is tangent to line , and the area of triangular region ABC is 18. What is the circumference of the circle?

- A . 3π
- B . 6π
- C . 8π
- D . 9π
- E . 12π

For how many of the times at which readings were taken was the difference between the concentrations at the two heights greater than 50 parts per million?

- A . One
- B . Two
- C . Three
- D . Four
- E . Five

For approximately how many hours was the concentration of carbon dioxide at 0.5 meter greater than or equal to the concentration at 0.2 meter?

- A . 3
- B . 6
- C . 9
- D . 12
- E . 15

The median of the 12 recorded concentrations at 0.2 meter is approximately how many parts per million?

- A . 275
- B . 295
- C . 315
- D . 335
- E . 355

The table shows the profit or loss that a travel company makes for rendering services to different numbers of passengers. If each additional passenger increases the profit, or decreases the loss, by the same dollar amount, what is the number of passengers for which the travel company will have neither a profit nor a loss?

- A . 900
- B . 950
- C . 975
- D . 980
- E . 998

Line segment AB is a diameter of the circle and has length 5. Points C and D are on the circle as shown. What is the area of the shaded region?

- A . 24
- B . 16
- C . 14
- D . 12
- E . 6

Indicate

- A . 6 by 8 by 5
- B . 8 by 12 by 2.5
- C . 9 by 11 by 2.4
- D . 10 by 10 by 2.4

The table shows the frequency distribution of the random variable Y. What is the median of the distribution of the values of Y ?

- A . 1.0
- B . 1.3
- C . 1.5
- D . 1.7
- E . 2.0

p is 75 percent of r.

Quantity A:50 percent of p

Quantity B:25 percent of r

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

From the cars manufactured in 2005 indicated in the table, one car is to be selected at random from the model A cars and one car is to be selected at random from the model B cars.

Quantity A: The probability that the model A car selected will be one that required repairs in its first year

Quantity B: The probability that the model B car selected will be one that required repairs in its first year

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{x}{x+1}$$

Quantity B:$$\frac{x+1}{x+2}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The length of line segment PQ

Quantity B:9

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

In the circle with center G, arc MKN has length $$\frac{8}{3}π$$.

In the circle with center J, arc PQR has length $$\frac{16}{3}π$$.

Quantity A:a

Quantity B:b

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{|y|}{y}$$

Quantity B:-2

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

On the number line shown, a and b are the coordinates of two points.

Quantity A:ab

Quantity B:-ab

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

$_____

- A . 13
- B . 15
- C . 28
- D . 34
- E . 47

- A . $5,000
- B . $6,250
- C . $7,500
- D . $10,000
- E . $25,000

- A . 400
- B . 800
- C . 900
- D . 1,200
- E . 1,600

Indicate

- A . s is a multiple of 2.
- B . s is the average (arithmetic mean) of r and t.
- C . s is the average (arithmetic mean) of r, s, and t.

The 10 numbers in list M (not shown) are determined by multiplying each of the 10 numbers in the list above by 5 and then subtracting 20 from each product. How many times greater is the range of the numbers in list M than the range of the numbers in the list above?

_____times greater

In which of the following years was the number of foreign-born residents greatest?

- A . 1900
- B . 1920
- C . 1940
- D . 1960
- E . 1980

From 1960 to 1980, the total population increased by approximately what percent?

- A . 5%
- B . 15%
- C . 25%
- D . 35%
- E . 45%

The ratio of the number of foreign-born residents in 1900 to the number of foreign-born residents in 1980 is closest to which of the following?

- A . 1 to 2
- B . 1 to 3
- C . 2 to 3
- D . 2 to 5
- E . 3 to 2

- A . 1
- B . 2
- C . 3
- D . 4
- E . 5

- A . 3
- B . 4
- C . 5
- D . 6
- E . 9

- A . 1
- B . 2
- C . 3
- D . 4
- E . 5

- A . -1
- B . 1
- C . $$1+\sqrt{2}$$
- D . $$1-\sqrt{2}$$
- E . $$1+2\sqrt{2}$$

Quantity A:80 percent of the price of the item after the increase

Quantity B:x

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

AB and CD are line segments with endpoints on the circle with center O, and z>y.

Quantity A: $$\frac{1}{2}$$ the length of AB

Quantity B:$$\frac{1}{2}$$ the length of CD

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{1}{n}+\frac{1}{n+s}+\frac{1}{n+10}$$

Quantity B:$$\frac{3}{n+10}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The median of the numbers in the list

Quantity B:20

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The figure consists of two rectangles whose longer sides are all parallel to each other, and x=3.

whose longer sides are all parallel to each other, and . Quantity A:The area of the shaded region

Quantity B:The area of the smaller rectangle

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:$$\frac{|x|}{|y|}$$

Quantity B:$$-\frac{x}{y}$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:RT

Quantity B:RS

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

_____

- A . 30
- B . 45
- C . 60
- D . 75
- E . 90

- A . None
- B . 2 only
- C . 7 only
- D . 7 and 49 only
- E . 2, 7, and 49

In the sequence shown, the terms are defined by $$a_{n}=(2n-3)^2$$ for all positive integers n. If the sum of the first k terms is 11, what is the value of k ?

- A . 1
- B . 2
- C . 3
- D . 4
- E . 5

- A . 34%
- B . 52%
- C . 66%
- D . 74%
- E . 94%

- A . 20
- B . 24
- C . 32
- D . 40
- E . 56

In 1994 the average annual salary of maintenance workers at Company X was approximately what percent of the average annual salary of maintenance workers nationwide in Country A ?

- A . 25%
- B . 75%
- C . 90%
- D . 110%
- E . 120%

If Company X employed a total of 200 maintenance workers annually for the years 1991 through 1993 and a total of 150 maintenance workers annually for the years 1994 through 1997, what was the average amount of money spent annually by Company X on the salaries of its maintenance workers for the years 1991 through 1997 ?

- A . $1,800,000
- B . $2,400,000
- C . $3,600,000
- D . $4,000,000
- E . $4,800,000

For the years 1991 through 1997, what was the ratio of the range of the average annual salaries of maintenance workers at Company X to the range of those nationwide in Country A ?

- A . 1 to 4
- B . 1 to 2
- C . 3 to 4
- D . 2 to 1
- E . 4 to 1

_____

If the 5 letters listed above were randomly ordered, what is the probability that the resulting list would be either in alphabetical order (as shown) or in reverse alphabetical order?

- A . $$\frac{1}{60}$$
- B . $$\frac{1}{20}$$
- C . $$\frac{1}{10}$$
- D . $$\frac{1}{5}$$
- E . $$\frac{2}{5}$$

Indicate

- A . n≥10
- B . n is even.
- C . n is divisible by 6.

- A . -2
- B . $$-\frac{1}{2}$$
- C . 0
- D . $$\frac{1}{2}$$
- E . 2

The figure shows a regular 9-sided polygon inscribed in a circle with center O.

Quantity A: The perimeter of the regular polygon

Quantity B:3 times the perimeter of triangle OAB

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:xy

Quantity B:$$x^2$$

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The number of odd integers in S

Quantity B:The number of even integers in S

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A:The remainder when $$(n+7)^{2}-49$$ is divided by n

Quantity B:1

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The eight amounts listed are the reported bonuses earned by eight employees during July. Two of the reported amounts are in error: one is $250 greater than the actual amount and one is $250 less than the actual amount.

Quantity A:The standard deviation of the amounts of the eight reported bonuses

Quantity B:The standard deviation of the amounts of the eight actual bonuses

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

Quantity A: The least possible sum of the 5 integers

Quantity B: 42

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

The average (arithmetic mean) of w, x, y, and z is less than the median of w, x, y, and z.

Quantity A:z-y

Quantity B:x-w

- A . Quantity A is greater.
- B . Quantity B is greater.
- C . The two quantities are equal.
- D . The relationship cannot be determined from the information given.

$_____

- A . 150
- B . 120
- C . 100
- D . 60
- E . 30

- A . 4
- B . 5
- C . 6
- D . 7
- E . 8

In the xy-plane shown, RS=TW. What is the value of k ?

- A . 6.0
- B . 6.5
- C . 7.0
- D . 7.5
- E . 8.0

The square region above has area 64 and is divided into six nonoverlapping triangular regions. If the area of triangular region A is 8, then the area of which of the following regions CANNOT be found?

- A . B
- B . C
- C . A and B combined
- D . C and D combined
- E . B, E, and F combined

- A . 6
- B . 9
- C . 12
- D . 15
- E . 18

What is the number of Calories from protein in 1 serving of Brand K candy?

- A . 0.5
- B . 1.0
- C . 2.0
- D . 4.0
- E . 8.0

In 1 serving of Brand K candy, the ratio of the number of Calories from carbohydrates to the total number of Calories in the serving is closest to which of the following fractions?

- A . $$\frac{1}{10}$$
- B . $$\frac{1}{5}$$
- C . $$\frac{3}{10}$$
- D . $$\frac{2}{5}$$
- E . $$\frac{3}{5}$$

A certain package of 4 brownies has 18 milligrams of cholesterol per brownie. The number of milligrams of cholesterol in the package of brownies is what percent less than the number of milligrams of cholesterol in 1 container of Brand K candy?

- A . 40%
- B . 50%
- C . 67%
- D . 75%
- E . 80%

- A . $26,394
- B . $26,460
- C . $29,050
- D . $29,255
- E . $31,374

- A . 5 to 7
- B . 7 to 5
- C . 5 to 1
- D . 17 to 1
- E . It cannot be determined from the information given.

S is a sequence of integers in which -3 and 3 alternate, as shown. If the average (arithmetic mean) of the first n terms of S is $$-\frac{1}{5}$$, what is the value of n ?

n=_____

Data list I and data list II are summarized by boxplot I and boxplot II, respectively, as shown above. Which of the following statements must be true?

Indicate

- A . The median of data list II is greater than the median of data list I.
- B . The range of data list I is greater than the range of data list II.
- C . The interquartile range of data list I is greater than the interquartile range of data list II.

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