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In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
List R={x, y, z, 2.7, 3.8, 5.5}

List S={x, y, z, -2.7, -3.8, -5.5}

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?
40 < r < s < t < 60
r, s and t are even integers. What is the range of all the possible values of r+s+t?
Set R={-3, -2, -1, 0, 1, 2, 3}
Set T={-7, -6, -5, -4, -3, -2}
If an integer is to be randomly selected from set S and an integer is to be randomly selected from set R, what is the probability that the product of the two integers selected will be positive?
Give your answer as a fraction.
x and m are positive integers, x is odd, and $$x·2^{m}$$=160

Quantity A

x

Quantity B

m


Let a be the greatest integer such that $$5^{a}$$ is a factor of 1,500, and let b be the greatest integer such that $$3^{b}$$ is a factor of 33,333,333. Which of the following statements are true?

Indicate all such statements.
$$P=23^{25}$$-23

What is the units digit of P?
What is the remainder when $$(345,606)^{2}$$ is divided by 20?
x is a negative integer

Quantity A

$$(2^x)^2$$

Quantity B

$$(x^2)^x$$


If $$\sqrt{108}$$ =$$a\sqrt{b}$$, where $$a$$ and $$b$$ are both positive integers, which of the following could be the value of a+b?

Indicate all such numbers.
In the xy-plane, a line with equation y=mx+b, where m and b are constants and mb≠0, has a y-intercept that is twice the x-intercept.

Quantity A

m

Quantity B

-2


Of the people surveyed about the effectiveness of various treatments for insomnia, 65 percent reported that prescription drugs were effective and 48 percent reported that exercise was effective. If 22 percent of those surveyed reported that prescription drugs were effective but did not report that exercise was effective,what percent of those surveyed reported that exercise was effective but did not report that prescription drugs were effective?

_____%
Professor Lopez is teaching three different courses with an average (arithmetic mean) enrollment of 32 students per course. If 5 students are taking two of these courses, 3 other students are taking all three courses, and all of the others are taking only one of the courses, what is the total number of different students enrolled in the three courses?
Eugene and Penny started a job in sales on the same day. Eugene's sales for the first month were r dollars and each month after the first his sales for that month were twice his sales for the preceding month. Penny's sales for the first month were 10r dollars, and each month after the first her sales for that month were 10r dollars more than her sales for the preceding month. Which of the following statements are true?
Indicate all such statements.

The figure above shows a rectangle and five circles. Each circle is tangent to the other circles and to the sides of the rectangle that it touches. If the diameter of each circle is 4, what is the area of the rectangle?

According to the graph shown,for which of the years 2002-2006 was the percent increase from the preceding year in the annual gross income greater than 6 percent?
Indicate all such years.
A certain number of toys were packed into x boxes so that each box contained the same number of toys, with no toys left unpacked. If 3 fewer boxes had been used instead, then 12 toys would have been packed in each box, with 5 toys left unpacked. What is the value of x ?

Quantity A

The standard deviation of 1, 1 and 11

Quantity B

The standard deviation of 2, 2 and 22




The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

A survey of 5,500 book readers found that the number of books read per year was approximately normally distributed with mean 19.0 and standard deviation 2.0. Which of the following is the best description of the numbers of books read per year by the 880 book readers who read the most books?
Al, Ben, Carl, Dina, and Edna are to be seated in a row of 5 adjoining chairs, with 1 person sitting in each chair. If Dina and Edna must each be seated in the first chair in the row or the last chair in the row, in how many different seating arrangements can the 5 people be seated?

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