# the sum of ten positive odd integers is 22. some of these integers are equal to each other. what is the greatest possible value of one of these integers?

the sum of ten positive odd integers is 22. some of these integers are equal to each other. what is the greatest possible value of one of these integers? A)22 B)13 C)11 D)9 E)7

# Although the author HAS PRESENTED (A)her book to the publisher AS A(B) fact-based memoir , she later confessed that it had been ENTIRELY(C) FABRICATED (D).

Although the author HAS PRESENTED (A)her book to the publisher AS A(B) fact-based memoir , she later confessed that it had been ENTIRELY(C) FABRICATED (D).

# The circle graph above shows the percent of 4th graders at an elementary school who have the indicated numbers of pets in their homes…

The circle graph above shows the percent of 4th graders at an elementary school who have the indicated numbers of pets in their homes. If 68 of the 4th graders have at least one pet, how many have exactly two pets?

(A) 16
(B)17
(C)20
(D)33
(E)34

# The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the smallest possible positive value of n ?

The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the smallest possible positive value of n ?

# An integer k is a “half square” if 2k is the square of a positive integer, for example, 18 is a half square because 2×18= 36= 6^2. What is the smallest half square that is greater than 100?

An integer k is a “half square” if 2k is the square of a positive integer, for example, 18 is a half square because 2×18= 36= 6^2. What is the smallest half square that is greater than 100?

# The bar graph above shows the number of students who were absent from Jackson High School each day last week…

The bar graph above shows the number of students who were absent from Jackson High School each day last week. Of those students, 8 were absent exactly 2 days each, 1 was absent 3 days, and no students were absent more than 3 days. If 5 percent of the students were absent at least 1 day last week, how many students are enrolled in Jackson High School?

# The cube above is made from 27 small cubes, each with an edge of length 1. If the shaded cube is removed what will be the surface area of the remaining solid?

The cube above is made from 27 small cubes, each with an edge of length 1. If the shaded cube is removed what will be the surface area of the remaining solid?

# If x and y are positive and sqrtx = y, which of the following must be equal 0?

If x and y are positive and sqrtx = y, which of the following must be equal 0?

A) x-y
B) x- sqrty
C) y-2x
D) y- x^2
E) y^2 -x

# In the figure above, line l is tangent to the circle at point P, and O is the center of the circle. What is the value of y?

In the figure above, line l is tangent to the circle at point P, and O is the center of the circle. What is the value of y?

A)50
B)55
C)60
D)65
E)75

# If w+2x+y=10 and 2w+2x+2y=10, what is the value of x?

If w+2x+y=10 and 2w+2x+2y=10, what is the value of x?

A)5
B)10
C)15
D)20
E)25

# In the xy-coordinate plane, point P is the reflection of the point with coordinates (3,1) across the line y=x. Point T is the reflection of point P across the y axis. What are the coordinates of T?

Hi mike, I don’t know how to answer questions like these; would you tell me the right way to do so?

In the xy-coordinate plane, point P is the reflection of the point with coordinates (3,1) across the line y=x. Point T is the reflection of point P across the y axis. What are the coordinates of T?

A) (-3,1)
B) (-1,-3)
C) (-1,3)
D) (1,-3)
E) (3,-1)

# The parabola above is the graph of y= -x^2 + k, where k is a constant. If AB=10, what is the slope of AP?

The parabola above is the graph of y= -x^2 + k, where k is a constant.
If AB=10, what is the slope of AP?

A) 2
B) 5/2
C) 5
D) 10
E) 20

# If f(x)=(x-1)^3 and g(x)=(1-x^2), then f(g(-2)) =

If f(x)=(x-1)^3 and g(x)=(1-x^2), then f(g(-2)) =

A) -64
B) -8
C) 8
D) 64
E) 81

# If cosA is not equal to 1, then sin^2A/(1-cosA) =

If cosA is not equal to 1, then sin^2A/ 1-cosA =

A) 1 + cosA
B) cosA
C) 1-cosA
D) 1
E) cosA -1

# A new high-tech transportation system is to be built connecting a city at sea level and a suburb 3,500 feet above sea level…

A new high-tech transportation system is to be built connecting a city at sea level and a suburb 3,500 feet above sea level. The maximum allowable grade is 3 percent, which means that the track for the new system can ascend no more than 3 feet for every 100 feet of horizontal length. What is the minimum whole number of feet of track needed for the new system?

A) 113,167 ft
B) 116,615 ft
C) 116,615 ft
D) 116,667 ft
E) 120,167 ft