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Ready4 In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
Ready4

In the figure above, line segment  has length , and rectangle  is a square. If the area of rectangular region  is , what is the area of rectangular region ?

Ready4

If k=5p, where p is a prime number greater than , how many different positive even divisors does k have, including k?

Ready4

If , where is a prime number greater than , how many different positive odd divisors does have, including ?

Ready4

If  is an integer and , which of the following CANNOT be a divisor of ?

Ready4

When the figure above is cut along the solid lines, folded along the dashed lines, and taped along the solid lines, the result is a model of a prism with a base that is a hexagon. What is the sum of the number of edges and the number of faces of this prism?

Ready4

Seth bought 2 pairs of jeans that cost x dollars each and 5 shirts that cost y dollars each. What is the average cost, in dollars, per item that Seth bought?

Ready4

A certain right triangle has side lengths , , and , where . If the area of this triangular region is 2, which of the following indicates all of the possible values of ?

Ready4

The circle with center P shown above is tangent to both axes. If the distance from O to P is equal to n, what is the radius of the circle, in terms of n?

Ready4

The -coordinate of the center of circle shown above is twice the length of its radius and the -coordinate is three times the length of its radius. If the distance from to is equal to , what is the radius of the circle, in terms of ?

Ready4

In the figure above, what is the value of ?

Ready4

A set of numbers has the property that for any number in the set, is also in the set. If is in the set, which of the following must also be in the set?

I.

II.

III.

Ready4

A set of numbers has the property that for any number in the set, is also in the set. If is in the set, which of the following must also be in the set?

  I.

 II.

III.

Ready4

A set of numbers has the property that for any number z in the set, z^{2} and z^{3} are also in the set. If −3 is in the set, which of the following must also be in the set?

I. −27

II. 27

III. 81

 

Ready4

Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

Ready4

What is the circumference of the circle above with center ?

(1) The perimeter of is .

(2) The length of arc is .

Ready4

What is the circumference of the circle above with center ?

(1) The perimeter of is .

(2) The length of arc is .

Ready4

The widths of all tiles of type are exactly the same, and the widths of all tiles of type are exactly the same. Is the width of 1 tile of type less than the width of 1 tile of type ?

(1) The total width of 2 tiles of type and 3 tiles of type is less than the total width of 5 tiles of type and 2 tiles of type .

(2) The total width of 3 tiles of type and 5 tiles of type is less than the total width of 4 tiles of type and 4 tiles of type .

Ready4

In the table above, what is the least number of table entries that are needed to show the mileage between each town and each of the other six towns?

Ready4 In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
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