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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

If , is ?

(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

For how many ordered pairs that are solutions of the system above are and both integers?

Ready4

A square table has a square glass inlay in the center, and a wooden strip of uniform width surrounding the glass. If the ratio of the glass inlay to the wooden strip is 4 to 5, which of the following could be the width, in feet, of the wooden strip?

I. \tfrac{1}{4}

II. \tfrac{1}{2}

III. 1

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

Running at their respective constant rates, Machine M takes 4 days longer to produce x widgets than Machine N. At these rates, if the two machines together produce widgets in 2 days, how many days would it take Machine M alone to produce widgets?

Ready4

Daniel takes twice as long to wash dishes than Peter takes to wash the same amount of dishes. At these rates, if Daniel and Peter together wash dishes in 3 hours, how many hours would it take Daniel alone to wash dishes?

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

Ready4

In the rectangular coordinate system above, if the area of \triangle RST is 3 times the area of \triangle PQR, what are the coordinates of point T?

(1) PQ=\tfrac{2}{3}QR

(2) QR=RS

Ready4

In the -plane, lines and intersect at the point . Is the -intercept of greater than the -intercept of ?

(1) The slope of s is .

(2) The slope of s is less than the slope of .

Ready4

In the -plane, lines n and p intersect at the point . Is the y-intercept of n less than the y-intercept of p?

(1) The slope of is positive.

(2) The slope of n is negative.

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