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A circular walkway with a uniform width and an inner diameter of 60 feet is to be built. If the length of the outer edge of the walkway must be between 100π feet and 200π feet, which of the following values could be the width, in feet, of the walkway?

Indicate all such values.
The greatest number of words read by a student exceeded the least number of words read by a student by approximately what percent?
If two different numbers are selected at random from the numbers 1, 2, 3, 4, and 5, what is the probability that their product will be odd?


Triangles ABC and AED are congruent, where BC=DE. If y=63, what is the value of x?

x=_____
For all numbers x, the function h(x) is defined as 1 more than the greatest integer less than or equal to x.

Quantity A

h(1.5)

Quantity B

h(1.75)




The variable x takes on integer values between 1 and 8, inclusive. The frequency distribution of x is shown in the graph above. What is the median value of x?
Three machines, working independently, can make a production lot of widgets in 4, 6, and 8 hours, respectively. If the machines work simultaneously at their respective uniform rates to make a single lot, what fraction of the lot will be made by the fastest machine?
If the annual commercial energy usage for lighting is w units of energy, which of the following is closest to the annual commercial energy usage for refrigeration, in the same units of energy?
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
A total of $72,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $332 in interest for the month, what is the value of r?

Give your answer to the nearest tenths of a percent.

_____%
In a sequence of 700 integers, each term after the first two terms is the sum of the two preceding terms.

Which of the following could be the number of odd integers in the sequence?

Indicate all such numbers.
The average (arithmetic mean) of the 4 numbers a, b, c, and d is 1.

Quantity A

a+b

Quantity B

4-(c+d)


If $$y=(x-2)(x-1)(x+1)$$, which of the following graphs indicates all of the values of $$x$$ for which $$y$$ is positive?
In the xy-plane, a triangle has vertices $$(0, 3)$$, $$(b, 3)$$, and $$(0, 3b)$$, where $$b$$ is a constant. If the area of the triangle is $$18$$. which of the following is a possible value of $$b$$?
A circle has an arc of length 16, which is 20 percent of the circumference of the circle.

Quantity A

The area of the circle

Quantity B

$$\frac{1600}{π}$$




A banner is to be designed to have 3 regions of solid color, as shown. Colors can be repeated, but no 2 adjacent regions can have the same color. How many different designs are possible if the colors are chosen from blue, green, red, white, and yellow?
$$x^{4}y^{3} \gt 0$$

Quantity A

$$\frac{x+y}{x}$$

Quantity B

1


Which of the following best represents the graph in the xy-plane of $$y=(x-2)^{2}-x^{2}$$?

Orchestra players are not always the best judges of conduction. Not surprisingly, when evaluating conductors they put a high premium on musicianship and (i)____________ and therefore typically gravitate toward conductors who are both technically competent and (ii)____________. But the ability to galvanize a hundred musicians into giving a great performance requires more than proficiency and affability.
When the positive integer n is divided by 3, the remainder is 2, and when n is divided by 7, the remainder is 5.

Quantity A

n

Quantity B

29


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