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Ready4	The inside of a rectangular carton is $36$ inches long, $30$ inches wide, and $6$ inches high. The carton is filled to capacity with $x$ identical cylindrical cans of soda that stand upright in rows and columns, as indicated in the figure above. If the cans are $6$ inches high, what is the value of $x$ ? (1) Each of the cans has a radius of $3$ inches. (2) Six of the cans fit exactly along the length of the carton.
Ready4	The inside of a rectangular carton is $44$ centimeters long, $28$ centimeters wide, and $5$ centimeters high. The carton is filled to capacity with $y$ identical cylindrical cans of tomato paste that stand upright in rows and columns, as indicated in the figure above. If the cans are $5$ centimeters high, what is the value of $y$ ? (1) Each of the cans has a radius of $2$ centimeters. (2) Seven of the cans fit exactly along the width of the carton.
Ready4	If arc $ABC$ above is a semicircle, what is the length of segment $\overline{AB}$ ? (1) $\overline{BC}=5$ (2) $\overline{AC}=13$
Ready4	If arc $WXY$ above is a semicircle, what is the length of $\overline{XY}$ ? (1) $\overline{WY}=17$ (2) $\overline{WX}=15$
Ready4	A machine makes widgets and gizmos. If it takes 6 minutes to make each widget and 10 minutes to make each gizmo, what is the total number of minutes it takes to make a batch of widgets and gizmos? (1) A batch has 50 more widgets than gizmos. (2) The ratio of the number of widgets to the number of gizmos in a batch is 3 to 1.
Ready4	How many different prime numbers are factors of the positive integer $k$ ? (1) Three different prime numbers are factors of $5k$ . (2) Three different prime numbers are factors of $k^2$ .
Ready4	How many different prime numbers are factors of the positive integer $p$ ? (1) Four different prime numbers are factors of $p^2$ . (2) Five different prime numbers are factors of $2p$ .
Ready4	How many different prime numbers are factors of the integer $n^2$ ? (1) Two different prime numbers are factors of $n$ . (2) Three different prime numbers are factors of $3n$ .
Ready4	Is the product of a certain pair of integers odd? (1) The sum of the integers is even. (2) At least one of the integers is odd.
Ready4	If $p$ is an integer and $3 < p < 9$ , what is the value of $p$ ? (1) $p$ is a factor of 20. (2) $p$ is a factor of 25.
Ready4	What is the circumference of the circle above with center $O$ ? (1) The perimeter of $\Delta OAC$ is $27$ . (2) The length of arc $ABC$ is $3\pi$ .
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	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	Three carpenters $H$ , $J$ , and $K$ working simultaneously and independently at their respective constant rates, can build a shed in 8 hours. How long does it take Carpenter $H$ , working alone at a constant rate, to build the shed? (1) Carpenters $H$ and $J$ , working simultaneously and independently at their respective constant rates, can build the shed in 12 hours. (2) Carpenters $J$ and $K$ , working simultaneously and independently at their respective constant rates, can build the shed in 16 hours.
Ready4	On a certain date, Sashi invested $1,000 at $x$ percent simple annual interest and a different amount at $y$ percent simple annual interest. What amount did Sashi invest at $y$ percent simple annual interest? (1) Sashi invested $1,000 at 2 percent simple annual interest and the other amount at 3 percent simple interest. (2) The total amount of interest earned by Sashi's two investments in one year was $100.
Ready4	A tortoise moves at a constant speed of 15 feet per minute. If the tortoise moves across a field, is the distance that the tortoise moves less than 0.1 mile? (1 mile = 5,280 feet) (1) It takes the tortoise less than 0.6 hour to move across the field. (2) It takes the tortoise more than 0.5 hour to move across the field.
Ready4	A pulley is used to move boxes at a constant speed of 150 centimeters per second. If the pulley moves a box from the floor to the top shelf in a warehouse, is that distance more than 25 meters? (1 meter = 100 centimeters) (1) It takes the pulley less than 0.4 minutes to move the box from the floor to the top shelf. (2) It takes the pulley more than 0.3 minutes to move the box from the floor to the top shelf.
Ready4	In the triangle above, does $a^2+b^2=c^2$ ? (1) $a=b$ (2) $x+y=88$
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