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In the figure above, what is the sum of $$a$$ and $$b$$?

$$a+b$$=_____


In the figure, point O is the center of the circle of radius $$r$$. If the length of arc PQR is $$\frac{\pi}{2}$$, and the area of the shaded region is $$\frac{5\pi}{4}$$, what is the value of $$r$$?
The average (arithmetic mean) monthly sales at a certain company for the past $$k$$ months was $$m$$ dollars. Which of the following expressions represents the sales, in dollars, for the current month if the average monthly sales for the $$k+1$$ months will be $$10$$ percent greater than the average monthly sales for the $$k$$ months?
$$x$$ > 0

$$0.0625y=\frac{x}{4}(2.5)$$

Quantity A

$$x$$

Quantity B

$$y$$




$$x = z = 122$$

Quantity A

$$t$$

Quantity B

$$3$$




PQ is a diameter of the circle.

Quantity A

The length of arc QRS

Quantity B

The length of arc STP


An urn contains 1 red disc, 4 purple discs, and 95 orange discs. Two discs are to be chosen from the urn, simultaneously and at random.

Quantity A

The probability that one of the discs chosen will be red

Quantity B

The probability that both discs chosen will be purple


The median annual salary of the 267 employees in a certain department of Company X is $28,500. Which of the following must be true?
When the integer n is divided by 35, the remainder is 14. Which of the following must be a divisor of n?


The points indicated on rectangle ABCD above are equally spaced, and each of the lines k, l, and m passes through two of the points. Which of the lines, taken individually, divide(s) rectangular region ABCD into two regions that have areas in the ratio of 2 to 1?
The price of c cookies is d dollars. At this rate, what is the price of c+3,350 cookies, in dollars?


The graph above shows the numbers of students at College X, by gender and class. The total number of female students exceeds the total number of male students at College X by how many students?

Give your answer to the nearest 1,000 students.

_____ students
In the xy-plane, line $$p$$ has the equation $$y=\frac{3}{2}x+8$$, and line $$l$$ has the equation $$y=-\frac{2}{3}x+c$$, where $$c$$ is a constant. The two lines intersect at a point with x-coordinate 6. What is the x-intercept of line $$l$$?

The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many different subsets of 3 elements can be selected from a set of 7 elements?


In the figure shown, the small circle is tangent to the large circle and passes through the center O of the large circle. If the area of the shaded region is 1, what is the diameter of the small circle?


Quantity A

The slope of line l

Quantity B

$$-\frac{3}{4}$$


The random variable Y is normally distributed with a mean of 50 and a standard deviation of 5.4.

Quantity A

The probability that Y is between 44.6 and 48.2

Quantity B

The probability that Y is between 55.4 and 59.0


x is a member of the set {-3, 0, 1, 4, 7}

y is a member of the set {-4, -1, 2, 6, 8}

Quantity A

The least possible value of xy

Quantity B

-26




ABCD is a square, as shown above.

Quantity A

$$\frac{BC+CD}{BD}$$

Quantity B

2


2x+3y=1

4x-y=2

The respective equations of lines k and m in the xy-plane are shown above.

Quantity A

The x-coordinates of the point of intersection of lines k and m

Quantity B

The y-coordinates of the point of intersection of lines k and m


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