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Ready4	What is the ten-thousandths digit of the decimal $k$ ? (1) The thousandths digit of $10 \cdot k$ is $3$ . (2) The tenths digit of $<font color='#FE8080'>1</font>{,}000 \cdot k$ is $3$ .
Ready4	Is $q$ equal to the median of the three positive integers $q$ , $r$ , and $s$ ? (1) $q=r$ (2) $q < r+s$
Ready4	Is $j$ equal to the median of the three positive integers $h$ , $j$ , and $k$ ? (1) $k < h+j$ (2) $h=k$
Ready4	A city offers ice skating and skiing as part of its winter sports program. If each of the $135$ people in the program participates in at least one of these sports, how many participate in skiing only? (1) $\frac{3}{5}$ of the people participate in ice skating. (2) $\frac{2}{3}$ of the people participate in skiing.
Ready4	At a city council meeting, one attendee is to be selected at random to be a tiebreaker. What is the probability that the person chosen is retired? One-third of the attendees are retired. Twenty-four of the attendees are not retired.
Ready4	A right triangle has two legs of equal length. What is the triangle's perimeter in meters? (1) The area of the triangle is 3 square meters. (2) The hypotenuse of the triangle measures 3 meters.
Ready4	A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than $\frac{1}{2}$ $1 2$ that the ball selected will be either white or green? The probability that the person will select a gray ball is $\frac{1}{3}$ $1 3$ . The probability that the person will select a green ball is $\frac{1}{6}$ $1 6$ .
Ready4	At a city council meeting, one attendee is to be selected at random to be a tiebreaker. What is the probability that the person chosen is retired? One-third of the attendees are retired. Twenty-four of the attendees are not retired.
Ready4	Is the positive integer $x$ a multiple of 18? (1) $x$ is a multiple of 6. (2) $x$ is a multiple of 9.
Ready4	What is the value of $m^2+n^2$ ? (1) $m=n$ (2) $(m+n)(m+n)=25$
Ready4	$\left \lfloor m \right \rfloor$ denotes the greatest integer less than or equal to $m$ . Is $k > <font color='#FE8080'>1</font>$ ? (1) $k=m-\left \lfloor m \right \rfloor$ (2) $\left \lfloor k \right \rfloor= 0$
300难题	What is the median of the data set S that consists of the integers 17,29,10,26,15,and x ? 1.The average (arithmetic mean) of S is 17. 2.The range of S is 24.
300难题	In the figure above, B is on $$\overline {AC}$$ , D is on $$\overline {AE}$$ , $$\overline {AB}$$ has the same length as $$\overline {BC}$$ ,and ∠ ABD has the same measure as ∠ACE. Wliat is the length of $$\overline {DB}$$ 1.The length of $$\overline {EC}$$ is 6. 2.The length of $$\overline {DE}$$ is 5.
300难题	In the figure above, points A, B, C, and D are collinear and AB , BC sand CD are semicircles with diameters $$d_1$$ cm, $$d_2$$ cm, and $$d_3$$ cm, respectively. What is the sum of the lengths of AB,BC,and CD,in centimeters? 1.$$d_1$$ : $$d_2$$ : $$d_3$$ is 3:2:1. 2.The length of $$\overline {AD}$$ is 48 cm.
300难题	In the figure above, segments $$\overline{RS}$$ and $$\overline{TU}$$ represent two positions of the same ladder leaning against the side $$\overline{SV}$$ of a wall. The length of $$\overline{TV}$$ is how much greater than the length of $$\overline{RV}$$ ? 1.The length of $$\overline{TU}$$ is 10 meters. 2.The length of $$\overline{RV}$$ is 5 meters.
300难题	A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000,the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate? 1.The account earned exactly $25 in interest at the 2.5% rate. 2.The account was open for exactly three years.
300难题	A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a yearly fee. Did the novelist pay more to her agent last year than she paid to her publicist? 1.The publicist 's yearly fee is $2,000. 2.The novelist earned an average of $3,500 in royalties last year on each of her novels.
300难题	If x and y are integers between 10 and 99, inclusive,is $$\frac{x - y}{9}$$ an integer? 1. x and y have the same two digits, but in reverse order. 2.The tens' digit of x is 2 more than the units' digit, and the tens' digit of y is 2 less than the units' digit.
300难题	The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 - n points if one of its runners finished in nth place, where $$ 1\leq n \leq 5 $$. If all of the runners finished the race and if there were no ties, was each team awarded at least 1 point? 1.No team was awarded more than a total of 6 points. 2.No pair of teammates finished in consecutive places among the top five places.
300难题	If ⊛ denotes a mathematical operation, does x⊛ y = y⊛ x for all x and y ? 1.For all x and y, x⊛ y = 2($$x^{2} + y^{2}$$). 2.For all y,0⊛ y = 2$$y^{2}$$