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The length of a model car is 8.2 centimeters, and the ratio of the length of the model car to the length of the actual car that it represents is 1 to 64. The length of the actual car is how many meters? (1 centimeter=0.01 meter)

Give your answer to the nearest 0.1 meter.

_____meters
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?
At the beginning of a certain year, Jane opened a new savings account and a new money market account and deposited a total of $10,000 into the two accounts. The savings account and the money market account earned simple annual interest at the rates of 2 percent and 5 percent, respectively. There were no other transactions in the accounts. If the total amount of interest earned by the two accounts for the first 2 years after they were opened was $475, what was the amount that Jane deposited into the money market account?

$_____
The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n?
x((75+y)+(15-y))=900

Quantity A

xy

Quantity B

10


$$x$$ and $$y$$ are positive integers

$$x^{2}$$+$$y^{2}$$=89

$$xy=40$$

Quantity A

|$$x-y$$|

Quantity B

$$3$$


x-y=1

Quantity A

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

Quantity B

1


If 4 < a < 16, and 8 < b < 27

Quantity A

$$\frac{\sqrt{a}}{\sqrt[3]{b}}$$

Quantity B

1


A customer purchased n items at Store F. If 5 of the n items cost $7 each and the remaining items cost $9 each, then in terms of n, what was the total cost, in dollars, of the items purchased by the customer at Store F?
The volume of a rectangular solid is 60, and the area of one of its faces is 11.

Quantity A

The surface area of the solid

Quantity B

100


$$r$$ is a positive integer, $$k=2r+1$$, and $$h=5k-3$$

Quantity A

The units digit of $$h$$

Quantity B

2


In the xy-plane, line $$l$$ has $$x$$-intercept 3 and $$y$$-intercept 4, and line $$m$$ has $$x$$-intercept 4 and $$y$$-intercept 3.$$

Quantity A

The slope of line $$l$$

Quantity B

The slope of line $$m$$


In plane P, point Q is on line l.

Quantity A

The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3

Quantity B

4






In the xy-plane, a circle with point O at the center is tangent to both the x-axis and the y-axis. AB is a diameter of the circle.

Quantity A

m

Quantity B

n


Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?


The three squares share a common vertex, as shown.

Quantity A

a+b

Quantity B

90°




If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?

_____degrees


$$AB < AD$$

Quantity A

$$x$$

Quantity B

$$y$$




Quadrilateral ABCE is a square, and triangle CDE is equilateral. If the perimeter of pentagon ABCDE is 30, what is the area of pentagon ABCDE?


In the sequence $$a_1$$, $$a_2$$, $$a_3$$,......., the $$n^{th}$$ term an is the distance in the xy-plane between (0, 1) and (n, 0) for each positive integer n. The figure shows the first four terms of the sequence.

Quantity A

$$a_{20}$$

Quantity B

$$\sqrt{401}$$


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