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Ready4

In the rectangular coordinate system above, if the area of $\triangle RST$ is 3 times the area of $\triangle PQR$ , what are the coordinates of point $T$ ?

(1) $PQ=\tfrac{2}{3}QR$

(2) $QR=RS$

Ready4

In the $xy$ -plane, lines $s$ and $t$ intersect at the point $(3,3)$ . Is the $y$ -intercept of $s$ greater than the $y$ -intercept of $t$ ?

(1) The slope of $s$ is $1$ .

(2) The slope of $s$ is less than the slope of $t$ .

Ready4

In the $xy$ -plane, lines $n$ and $p$ intersect at the point $(2,2)$ . Is the $y$ -intercept of $n$ less than the $y$ -intercept of $p$ ?

(1) The slope of $p$ is positive.

(2) The slope of $n$ is negative.

Ready4

If $2$ different houses are to be selected at random from a group of $12$ houses on a street and if $p$ is the probability that both houses selected will have even address numbers, is $p < \frac{1}{2}$ ?

(1) More than $\frac{1}{2}$ of the $12$ houses have even numbers.

(2) The probability that both houses selected will have odd numbers is less than $\frac{1}{4}$ .

Ready4

If $2$ different animals are to be selected at random from a group of $16$ cats and dogs, and if $p$ is the probability that one cat and one dog will be selected, is $p > \frac{1}{2}$ ?

(1) At most $6$ animals are dogs.

(2) The probability that both animals selected will be cats is greater than $\frac{1}{2}$ .

Ready4

If $m$ and $n$ are positive integers, is $\frac{m}{n} < \frac{13}{15}$ ?

(1) $\frac{n}{m} > 1.154$

(2) $\frac{m}{n} < 0.876$

Ready4

$S=\{2,4,a,b,12\}$

$T=\{a,b,10\}$

Two integers will be randomly selected, one from set $S$ and one from set $T$ . What is the probability that the sum of the two integers will be odd?

(1) $a=5$

(2) $b$ is even.

Ready4

In the figure above, what is the value of $x+y$ ?

(1) $x=86$

(2) $\Delta MNO$ and $\Delta MPO$ are both isosceles triangles and $\angle PMO=32^{\circ}$

Ready4

Work Order Number	$W1$	$W2$	$W3$	$W4$	$W5$	$W6$
Fraction of Total Job	$\frac{1}{32}$	$\frac{1}{16}$	$\frac{1}{8}$	$\frac{3}{16}$	$\frac{9}{32}$	$\frac{5}{16}$

Lise receives batches of work orders from her supervisor. Her supervisor would like her to complete a total of 6 work orders on Thursday and Friday of this week. The table above shows the fraction each work order represents as a part of the total job. Assume Lise completes an entire work order in one sitting. Each work order is labeled either $W1$ , $W2$ , $W3$ , $W4$ , $W5$ , or $W6$ . If the work orders on Thursday made up more than $\frac{1}{2}$ of the total job, was $W3$ completed on Thursday?

(1) Lise completed $W5$ on Thursday.

(2) Lise completed exactly three work orders on Friday.

Ready4

Each $\text{X}$ in the mileage table above represents an entry indicating the distance between a pair of six towns in a certain county. If the table were extended to represent the distances between all pairs of $36$ towns in the county, and each distance were to be represented by only one entry, how many entries would the table then have?

Ready4

	City A	City B	City C	City D	City E	City F	City G
City A		x	x	x	x	x	x
City B			x	x	x	x	x
City C				x	x	x	x
CIty D					x	x	x
City E						x	x
City F							x
City G

Each "x" in the pricing table above represents an entry indicating the cost for flying roundtrip between a pair of seven cities. If the table were extended to represent the prices for flying between all pairs of 32 cities in an airline's schedule and each price were to be represented by only one entry, how many entries would the table then have?

Ready4

	City $A$	City $B$	City $C$	City $D$	City $E$	City $F$
City $A$		X	X	X	X	X
City $B$	X		X	X	X	X
City $C$	X			X	X	X
City $D$	X				X	X
City $E$	X					X
City $F$	X

Each X in the frequent flyer table above represents an entry indicating the number of frequent flyer miles earned for flying one way between a pair of cities on a particular airline. As part of a promotion, the airline awards an additional 500 frequent flyer miles for all flights originating from City $A$ . If the table were extended to represent the frequent flyer miles for flying between all pairs of 20 cities on the airline and each frequent flyer mile award were to be represented by only one entry, how many entries would the table then have?

Ready4

A cafeteria served hamburgers and hot dogs on a certain day. If the cost of each hamburger was $5 and the cost of each hot dog was $3, what was the total cost of the hamburgers and hot dogs served by the cafeteria that day?

(1) The total number of hamburgers and hot dogs served was 130.

(2) The ratio of the number of hamburgers to the number of hot dogs served was 3 to 2.

Ready4

Of the people at a certain movie, each person either likes or dislikes horror movies and each person either likes or dislikes romance movies. Of these people, $\tfrac{4}{5}$ dislike horror movies; and of those who dislike horror movies, $\frac{3}{4}$ also dislike romance movies. How many of the people like romance movies but dislike horror movies?

(1) 150 people were at the movie.

(2) 30 of the people like horror movies.

Ready4

Of the people at a certain meeting, each person either works part-time or full-time and each person either drives a car or uses public transportation to get to work. Of these people, $\frac{1}{3}$ work part-time; and of those who work part-time, $\frac{3}{5}$ drive a car to work. How many of the people work part-time and use public transportation to get to work?

(1) 60 of the people drive a car to work.

(2) 45 of the people use public transportation to get to work.

Ready4

Of the students in a certain class, each student is either left-handed or right-handed and each student either has brown eyes or blue eyes. Of these students, $\frac{3}{4}$ are right-handed; and of those who are right-handed, $\frac{2}{3}$ have brown eyes. How many of the students are right-handed and have blue eyes?