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Ready4

A circular well is constructed within a circular garden. The circumference of the well's opening is 1 5 that of the garden. What is the area of the well's opening?

  1. The area of the garden is 25π square meters.
  2. The edging around the garden is 10π meters long.
Ready4

The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Is the age of a child in Group A less than the age of a child in Group B?

  1. The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B.
  2. The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
Ready4

A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than 1 2 that the ball selected will be either white or green?

  1. The probability that the person will select a gray ball is 1 3 .
  2. The probability that the person will select a green ball is 1 6 .
Ready4

If and are prime numbers, what is the value of ?

(1) is also a prime number

(2) and are both less than 5

Ready4

If , , and are positive integers, is ?

(1)

(2)

Ready4

If is a positive integer, is divisible by 10?

(1) is a multiple of 5

(2) is a multiple of 2

Ready4

Rectangle has a diagonal of 10 feet, and rectangle has a diagonal of 20 feet. What is the ratio of the area of to the area of ?

(1) The ratio of length to width for each rectangle is the same.

(2) The width of rectangle is 100% longer than the width of rectangle .

Ready4

What is the circumference of the circle above with center ?

(1) The perimeter of is .

(2) The length of arc is .

Ready4

A circular container has a band painted around its circumference, as shown above. What is the surface area of the painted band?

(1)

(2) The height of the container is 7 inches.

Ready4

The lengths of all boards of type are exactly the same, and the lengths of all boards of type S are exactly the same. Is the length of 1 board of type greater than the length of 1 board of type ?

(1) The total length of 4 boards of type and 4 boards of type S is less than the total length of 3 boards of type and 5 boards of type .

(2) The total length of 3 boards of type and 2 boards of type S is less than the total length of 2 boards of type and 3 boards of type .

Ready4

Three copiers , , and , working simultaneously and independently at their respective constant rates, can copy a certain document in 6 minutes. How long does it take Copier Z, working alone at its constant rate, to copy the document?

(1) Copiers and , working simultaneously and independently at their respective constant rates, can copy the document in 12 minutes.

(2) Copiers and , working simultaneously and independently at their respective constant rates, can copy the document in 9 minutes.

Ready4

What is the value of ?

(1)

(2)

Ready4

What is the value of ?

(1)

(2)

Ready4

On a certain date, Ronin invested $2,000 at percent simple annual interest and a different amount at percent simple annual interest. What amount did Ronin invest at percent simple annual interest?

(1) Ronin invested $2,000 at 4 percent simple annual interest.

(2) The total amount of interest earned by Ronin's two investments in one year was $200.

Ready4

On a certain date, Kacper invested $3,000 at percent simple annual interest and a different amount at percent simple annual interest. What amount did Kacper invest at percent simple annual interest?

(1) The amount of interest earned at y percent simple annual interest in one year was $50.

(2) The total amount of interest earned by Kacper's two investments in one year was $200.

Ready4

In the triangle above, does ?

(1)

(2)

Ready4

If is an integer, is ?

(1)

(2)

Ready4

A group of people bought $180 worth of theater tickets costing either $10 or $25. How many tickets costing $10 were bought?

(1) Fewer than 4 tickets costing $25 were bought.

(2) More than 10 tickets costing $10 were bought.

Ready4

In the figure shown, . Are lines n and p parallel?

(1) x=w

(2) y=180-z

Ready4

What is the value of in the figure above?

(1) w=70

(2) z=85

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