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Ready4	In the rectangular coordinate system above, if $\Delta HIJ$ and $\Delta JKL$ have equal area, what are the coordinates of point $L$ ? (1) The coordinates of point $J$ are $(6,0)$ . (2) $\overline{JK}=2\overline{LK}$
Ready4	The sequence $a_1, a_2, a_3, ..., a_n, ...$ is defined such that for all integers $n \geq 1$ : $a_n = \frac{1}{n+1}-\frac{1}{n+2}$ If $k$ is a positive integer, is the sum of the first $k$ terms of the sequence greater than $\frac{5}{12}$ ? (1) $k < 17$ (2) $k > 11$
Ready4	If two different students are to be selected at random from a group of $10$ male and female students, and if $p$ is the probability that one male and one female student will be selected, is $p>\frac{1}{3}$ ? (1) More than $\frac{1}{2}$ of the $10$ students are female. (2) The probability that both students selected will be female is greater than $\frac{1}{3}$ and less than $\frac{1}{2}$ .
Ready4	If arc $XYZ$ above is a semicircle, what is the length of diameter $\overline{XZ}$ ? (1) $m=16$ (2) $\overline{YZ}=4\sqrt{5}$
Ready4	If $x$ and $y$ are positive integers, is $\frac{x}{y} < \frac{5}{7}$ ? (1) $\frac{x}{y} < 0.714$ (2) $\frac{y}{x} > 1.414$
Ready4	$A=\{2,3,x,y\}$ $B=\{x,y,5,6,7\}$ Two integers will be randomly selected, one integer from set $A$ and one integer from set $B$ . What is the probability that the sum of the two integers will equal $7$ ? (1) $x=3$ (2) $y=4$
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	123456
Ready4	What is the value of $3x^2+1.5x-2.2$ when $x=0.4$ ?
Ready4	If $H$ and $K$ are sets of integers, $H \Delta K$ denotes the set of integers that belong to set $H$ or to set $K$ , but not to both. If $H$ consists of 20 integers, $K$ consists of 16 integers, and 14 integers are in both $H$ and $K$ , then $H \Delta K$ consists of how many integers?
Ready4	If non-negative integers $s$ and $t$ are not both even, which of the following must be even?