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题目内容
Tatiana played a number of games of chess last month, and each game resulted in a win, draw, or loss. The ratio of the number of wins to the number of draws to the number of losses was 5 to 9 to 3. If Tatiana won 6 more games than she lost, how many games of chess did she play last month?
Which of the following inequalities is consistent with the statement that the time it took train K to travel r miles at a constant rate of s miles per hour is less than the time it took train M to travel y miles at a constant rate of z miles per hour?
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for 1 ≤ i ≤ n.

For what value of x is the standard deviation of the numbers 6, 14, 16, and x least?
The passage suggests that Taruskin would probably agree with which of the following criticisms regarding the partisans of the early music movement?
a, b, c, and d are numbers that are greater than 0 and less than 1.

Quantity A

(a+b)(c+d)

Quantity B

a+b(c+d)
The advertised size of a television is the length of the diagonal of the rectangular viewing screen. For a television advertised as 42-inch, if the ratio of the lengths of the sides of the viewing screen is 16 to 9. approximately what is the area, in square inches, of the viewing screen?


The two circles have centers at B and C, respectively, and are mutually tangent. Each circle has radius r.

Quantity A

The perimeter of quadrilateral ABCD

Quantity B

8r
Sets P and Q each contain 50 numbers, and the greatest number in P is less than the least number in Q. The range of the numbers in P is x, and the range of thenumbers in Q is y. Set R is the union of sets P and Q.

Quantity A

The range of the numbers in R

Quantity B

x+y
Of the 45 candidates for a certain job, 20 are married. Of the candidates who are married, 8 do not have a PhD. Of the candidates who are not married, 15 have a PhD.

Quantity A

The number of candidates who do not have a PhD

Quantity B

18
The sum of the digits of a two-digit integer is 6 more than the tens digit minus the units digit. What is the units digit?
In triangle ABC, AB=9 and BC=12. Which of the following values could be the perimeter of triangle ABC?

Indicate all such values.
$$°C =\frac{5}{9}(°F -32)$$

The formula above can be used to convert temperatures from degrees Fahrenheit(°F) to degrees Celsius (°C), where (°F is a certain temperature expressed in degrees Fahrenheit and °C is the same temperature expressed in degrees Celsius. What was the maximum temperature in Atlanta, in degrees Celsius, rounded to the nearest degree?
Let G be the set of integers from 100 to 999, and let n be the integer for which 40 percent of the integers in G are less than or equal to n.

Quantity A

2n

Quantity B

900

Quantity A

The smallest integer $$n$$, $$n$$ > 2, such that $$n-2$$ is divisible by 3, 4, 5, and 6

Quantity B

362
On a scaled map, the point for the geographical center of City A is 4 inches from the point for the geographical center of City B, and the point for the geographical center of City B is 2 inches from the point for the geographical center of City C. The actual distance from the geographical center of City A to the geographical center of City B is 500 miles. Which of the following values could be the actual distance, in miles, from the geographical center of City A to the geographical center of City C?

Indicate all such values.
A caterer has 20 liters of fruit punch that is 12 percent grape juice, by volume. How many liters of fruit punch that is 20 percent grape juice, by volume, must be added to the original 20 liters of fruit punch in order to create fruit punch that is 15 percent grape juice, by volume?
A certain type of code is a list of 4 identical asterisks and 2 identical dots in any order. For example, **•*•* is one such code.

Quantity A

The number of possible codes of this type

Quantity B

15
In the xy-plane, circle C is centered at (0, 3) and passes through the point (2, 0).

Quantity A

The area of circle C

Quantity B

13π


Pam, Steve,and Adrian each had a party. The number of people at Pam's party was 6 more than the number of people at Steve's party. The number of people at Steve's party was 8 fewer than the number of people at Adrian's party. No one attended more than one of the three parties. If the total number of people at the three parties was 89, what was the number of people at Adrian's party?
If $$x$$ is an integer, which of the following must be divisible by 2?

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