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Ready4	If $d_{1}$ and $d_{2}$ are the numbers of defective items in production runs yielding $r_{1}$ and $r_{2}$ total items, respectively, the ratio of defects per run is greater for which of the two production runs? $d_{1} > d_{2}$ $r_{2} > r_{1}$
Ready4	If x and y are positive integers, is $\sqrt{x + y + 1} > 3 \sqrt{x + 1}$ ? $y > 8 x + 8$ $x + y > 8 x + 8$
Ready4	What is the value of x in the triangle above? $y + z = 130$ $x + z = 100$
Ready4	In the xy-coordinate plane, is point Q equidistant from points (4, 4) and (-2, 4)? The x-coordinate of point Q is 1. Point Q lies on the line $y = 4$ .
Ready4	In each of two rows, a series of statues is ordered by height. On the bottom row, the shortest statue is 14.1 centimeters tall. On the top row, the tallest statue is 14.01 centimeters tall. What is the median height out of all the statues in both rows? There are 14 statues in the lower row. There are 15 statues in the upper row.
Ready4	What is the tenths digit in the decimal representation of a certain number? The number is less than $\frac{5}{8}$ The number is greater than $\frac{5}{9}$
Ready4	$m = \frac{\frac{3}{n}}{\frac{2}{y} + \frac{1}{2 y}}$ In the expression above, if $y n \neq 0$ , what is the value of m? $y = \frac{3 n}{2}$ $n = \frac{3}{2}$
Ready4	Each of three plants, $P_{1}$ , $P_{2}$ , and $P_{3}$ , photosynthesizes glucose at a constant, characteristic rate measured in molecules per minute. If $p_{1}$ is the ratio of $P_{1}$ 's rate to $P_{2}$ 's rate and $p_{2}$ is the ratio of $P_{2}$ 's rate to $P_{3}$ 's rate, is $P_{3}$ 's rate the greatest of the three? $p_{1} < p_{2}$ $p_{2} < 1$
Ready4	In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting? Of the 180 students, 36 do not study accounting. A total of 144 students study accounting.
Ready4	A right triangle has two legs of equal length. What is the perimeter, in centimeters, of the triangle? The area of the triangle is 4 square centimeters. The hypotenuse of the triangle measures 4 cm.
Ready4	If $u < v < w$ and $x < y < z$ , is $v < y$ ? $u < x$ $w < x$
Ready4	Last year, if a company spent a total of $1,200,000 on marketing, salaries, and administrative costs, how much did it spend on salaries? Last year, the total amount that the company spent on salaries and administrative costs was 50 percent of the amount that it spent on marketing. Last year, the amount that the company spent on salaries was 25 percent of the total amount it spent on marketing and administrative costs.
Ready4	A company offered a training program to all of its 120 employees. How many employees completed the training? Of all employees, 30 percent completed more than half of the training. Of all employees, 30 percent of those who began the training completed it.
Ready4	For any integers n and m, $\ddot{m} (n, m)$ and $\dot{m} (n, m)$ denote the minimum and the maximum of n and m, respectively. For example, $\ddot{m} (4, 3) = 3$ and $\dot{m} (4, 3) = 4$ . For the integer m, what is the value of $\ddot{m} (100, m)$ ? $m = \dot{m} (100, n)$ for some integer n. $m = \dot{m} (100, m)$
Ready4	A line segment parallel to the second-smallest side of a right triangle bisects the smallest side, forming a smaller triangle within the original one. What is the area of the smaller triangle? The area of the larger triangle is 48. The length of the line segment is 12.
Ready4	If $a + n = b$ , what is the value of n? $b = 5$ $b + 5 = a$
Ready4	The table above shows the lexical similarities, measured as a percentage of words that are similar, between any two of the four languages A, B, C, and D. For example, the lexical similarity between Language A and Language D is 70. What is the value of $a ΄$ ? The lexical similarity between B and C is 10 percent greater than that between B and A. The lexical similarity between C and D is 105% that of the lexical similarity between A and C.
Ready4	The average (arithmetic mean) of the ages of three people, expressed as integers, is 60. What is the median age? One of the ages is 55. One of the ages is 60.
Ready4	Three robots, Q, R, and L, which eject water independently and simultaneously, each at a characteristic, constant rate, can fill a pool in 10 minutes. How long does it take Robot Q, working alone at its constant rate, to fill that pool with water? Machines R and L can fill the pool in 20 minutes. Machines Q and L can fill the pool in 15 minutes.
Ready4	The average (arithmetic mean) price of three items sold by a store to a particular customer, before discounts, was $90. If a discount of 20% was applied at the point of purchase to all items of at least $100, what was the total discount saved by the customer? The pre-discount price of the most expensive item that the customer purchased from the store was $180. The pre-discount price of the least expensive item that the customer purchased from the store was $10.