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Ready4	The figure above represents a circular fountain surrounded by a circular walkway. The distance across the fountain is $16$ feet. The distance across the fountain and the walkway is $24$ feet. What is the area of the walkway, in square feet?
Ready4	The figure above represents a circular patch of grass, with its center at $O$ , surrounded by a circular track that is $6$ yards wide. What is the area of the track, in square yards?
Ready4	Three copiers $X$ , $Y$ , and $Z$ , 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 $X$ and $Y$ , working simultaneously and independently at their respective constant rates, can copy the document in 12 minutes. (2) Copiers $X$ and $Z$ , working simultaneously and independently at their respective constant rates, can copy the document in 9 minutes.
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	The widths of all tiles of type $K$ are exactly the same, and the widths of all tiles of type $M$ are exactly the same. Is the width of 1 tile of type $K$ less than the width of 1 tile of type $M$ ? (1) The total width of 2 tiles of type $K$ and 3 tiles of type $M$ is less than the total width of 5 tiles of type $K$ and 2 tiles of type $M$ . (2) The total width of 3 tiles of type $K$ and 5 tiles of type $M$ is less than the total width of 4 tiles of type $K$ and 4 tiles of type $M$ .
Ready4	The lengths of all boards of type $R$ 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 $R$ greater than the length of 1 board of type $S$ ? (1) The total length of 4 boards of type $R$ and 4 boards of type $S$ is less than the total length of 3 boards of type $R$ and 5 boards of type $S$ . (2) The total length of 3 boards of type $R$ and 2 boards of type $S$ is less than the total length of 2 boards of type $R$ and 3 boards of type $S$ .
Ready4	The cost of all bags of type $P$ are exactly the same, and the cost of all bags of type $Q$ are exactly the same. Is the cost of 1 bag of type $P$ greater than the cost of 1 bag of type $Q$ ? (1) The total cost of 2 bags of type $P$ and 5 bags of type $Q$ is greater than the total cost of 4 bags of type $P$ and 3 bags of type $Q$ . (2) The total cost of 3 bags of type $P$ and 2 bags of type $Q$ is less than the total cost of 2 bags of type $P$ and 4 bags of type $Q$ .
Ready4	A circular container has a band painted around its circumference, as shown above. What is the surface area of the painted band? (1) $x=2$ (2) The height of the container is 7 inches.
Ready4	A circular barrel has a band painted around its circumference, as shown above. What is the surface area of the painted band? (1) $x=0.75$ (2) The radius of the barrel is 1 foot.
Ready4	A cylindrical tube has a band painted around its circumference, as shown above. What is the surface area of the painted band? (1) The height of the tube is $20$ centimeters. (2) The circumference of the tube is $16\pi$ centimeters.
Ready4	What is the circumference of the circle above with center $O$ ? (1) The perimeter of $\Delta OQS$ is $8+4\sqrt{2}$ . (2) The length of arc $QRS$ is $2\pi$ .
Ready4	What is the circumference of the circle above with center $O$ ? (1) The perimeter of $\Delta ODF$ is $12+6\sqrt{2}$ . (2) The length of arc $DEF$ is $3\pi$ .
Ready4	In the figure shown, arc $LMN$ is a semicircle. If the length of line segment $LN$ is 11, then what is the length of semicircle $LMN$ ?
Ready4	In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment $\overline{XY}$ is 5 and the length of line segment $\overline{YZ}$ is 12, then what is the length of arc $XYZ$ ?
Ready4	If positive integer $m$ is odd and $p$ is prime, which of the following must be even?
Ready4	Given positive integers $x$ and $y$ where at least $x$ is odd, which of the following must also be odd?
Ready4	If two positive integers $x$ and $y$ are not both even, then which of the following must be odd?
Ready4	If money is invested at $r$ percent interest compounded annually, the amount of the investment will double in approximately $\tfrac{70}{r}$ years. If $5,000 is invested in an account that pays 7 percent interest compounded annually, approximately how many years will it take for the value of the investment to be $80,000?
Ready4	If money is invested at $r$ percent interest, compounded annually, the amount of the investment will double in approximately $\frac{72}{r}$ years. If $4,000 is invested in an account that pays 3 percent interest, compounded annually, approximately how many years will it take for the value of the investment to be $16,000?
Ready4	If money is invested at $r$ percent interest, compounded annually, the amount of the investment will double in approximately $\frac{70}{r}$ years. If $10,000 is invested in an account that pays 6 percent interest, compounded annually, approximately how many years will it take for the value of the investment to be $80,000?