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Ready4

In the xy-plane shown, the shaded region consists of all points that lie above the graph of y=x^2-10x and below the x-axis. Does the point (n,p) (not shown) lie in the shaded region if ?

(1)

(2)

Ready4

On the circle above with center , the length of arc is . What is the circumference of the circle?

Ready4

What is the number of degree rotations that a motor scooter wheel made while rolling feet in a straight line without slipping?

(1) The area of the scooter wheel, including the tire, is square inches.

(2) The diameter of the scooter wheel, including the tire, is inches.

Ready4

In , what is the length of ?

(1) The length of is .

(2) The length of is an integer and the length of is .

Ready4

What is the number of degree rotations that a bicycle wheel made while rolling meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, is meters.

(2) The wheel made twenty degree rotations per minute.

Ready4

In , what is the length of ?

(1) The length of is .

(2) The length of is .

Ready4

What is the area of rectangle ?

(1) Each diagonal of has length .

(2) The perimeter of is .

Ready4

A rectangular framed mirror is shown above. The width of the mirror with the frame is inches and the frame has uniform width. What are the dimensions of the mirror without the frame?

(1) The area of the frame alone is square inches.

(2) The area of the mirror with the frame is square inches.

Ready4

Is the positive integer a multiple of ?

(1) is a multiple of .

(2) is a multiple of .

Ready4

If is an integer greater than zero, then is

Ready4

The perimeter of an isosceles right triangle is . What is the length of the hypotenuse?

Ready4

The perimeter of an isosceles right triangle is . What is the length of the hypotenuse?

Ready4

The perimeter of an isosceles right triangle is . What is the length of the hypotenuse?

Ready4

In the figure above, the point is the center of the circle and . What is the value of ?

Ready4

In the figure above, the point  is the center of the circle and . What is the value of ?

Ready4

In the figure above, the point is the center of the circle and . What is the value of ?

Ready4

If , , and are constants, where , and for all numbers :

What is the value of ?

Ready4

If , , and are constants, where , and for all numbers , what is the value of ?

Ready4

If , , and are constants, where , and for all numbers :

What is the value of ?

Ready4

Each item sold at a market is labeled with a 2-, 3-, or 4-digit code where each digit is selected from the digits 1 through 9, inclusive. If the digits may be repeated and if the same digits used in a different order represent a different code, how many different items at the market can be labeled with a unique code?

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