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In the stair unit in the figure above, all the angles are right angles. The left side is 5'4", and the bottom is 9'2". Each vertical riser is 8". The top step is 10(1/4)", and each step below it is 1" more than the preceding step.

Quantity A

The perimeter, in inches of the figure above

Quantity B

300


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$$ab\neq0$$

Quantity A

$$(a+b)^{2}$$

Quantity B

$$(a-b)^{2}$$






The radius of the large circle is R. The radius of the small circle is r. The areas of the shaded region and the white region are equal.

Quantity A

$$\frac{R}{r}$$

Quantity B

1.5


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The area of a right triangle whose sides are 6, 8, and 10 is how many times the area of a right triangle whose sides are 3, 4, and 5?
If the average (arithmetic mean) of x, y, and z is 20, which of the following is the value of z in terms of x and y?
A and B are independent events, and the probability that both events occur is $$\frac{1}{2}$$. Which of the following could be the probability that event A occurs? Indicate all such probabilities.
If $$m^2 = 17$$, then what is the value of $$(m+1)(m-1)$$?
If a, b, x, and y are positive integers, and $$13^a \times 13^b=(13^x)^y=13^{13}$$, what is the average (arithmetic mean) of a, b, x, and y?

Give your answer as a decimal.
The circumference of a circle is 12. Which of the following is closest to the area of the circle?
If a line passes through the origin and the point (3, d), where 3 < d < 6, which of the following could be the slope of the line? Indicate all such slopes.
A rectangle is drawn in a standard xy-coordinate plane. If the sides of the rectangle are not parallel to the axes, what is the product of the slope of the four sides?
If$$(\frac{1}{a}+a)^{2}=100$$, what is the value of $$\frac{1}{a^{2}}+a^{2}=100$$?

_____

Quantity A

The product of the integers from -7 to 3

Quantity B

The product of the integers from -3 to 7


O is the center of the circle. X is a point on the circle, and Y (not shown) is a point inside the circle.

Quantity A

OX

Quantity B

OY


x+y=1

Quantity A

xy

Quantity B

1


The distance between Ali`s house and her college is exactly 135 miles. She drove 2/3 of the distance in 135 minutes.

Quantity A

Her average speed, in miles per hour

Quantity B

45


$${1}\lt{a}\lt{b}\lt{2}$$

Quantity A

ab

Quantity B

a+b


Quantity A

b

Quantity B

60


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$$1\lt{x}\lt{2}$$

Quantity A

The volume of a cube whose edges are x

Quantity B

The volume of a rectangular solid whose dimensions are (x-1), x and (x+1)


For how many positive integers, x, is it true that $$x^3≤3x$$?

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