题目列表

题目内容
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 $$x^3≤3x$$?
The lengths of two sides of a triangle are 3 and 4. Which of the following could be the length of the third side?

Indicate all such lengths.
$$\frac{a-b}{7-3}=$$
An antique dealer bought a chair for $100 and later sold it for $1,000. By what percent did the value of the chair increase?
If x + y = 123 and x – y = 89, what is the value of $$x^2–y^2$$?

_____
If the average (arithmetic mean) of 10, 20, 30, 40, and x is 60, what is the value of x?
What is the area of a circle whose radius is the diagonal of a square whose area is 4?
If $$2^a \times 2^b=2^c$$ and $$0\lt{c}\lt{1}$$, then which of the following could be the average (arithmetic mean) of a and b? Indicate all such averages.
What is the surface area, in square inches, of a cube whose volume is 216 cubic inches?

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