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Ready4

The circle graph above represents the total amount of items sold at Store $M$ , broken down into six categories of different types of items they sell. If the center of the circle is $O$ and Store $M$ sells a total of 5,800 items, how many items are in category $G$ ?

(1) $k=40$

(2) Combining all categories, except for $G$ , accounts for $288^{\circ}$ in the graph.

Ready4

The circle graph above represents the total employees at Company $X$ , broken down by the employees for its five separate branches. If the center of the circle is $O$ and Company $X$ has a total of 2,400 employees, how many employees work for branch $D$ ?

(1) Together, branch $B$ and $C$ have four times as many employees as branch $D$

(2) $w=54$

Ready4

Price Range (in dollars)	Number of Items
less than 5	4
5-14	27
15-24	39
25-34	13
35-44	47
45-54	28
55 and higher	9

The table above gives information about the current price ranges, in dollars, of 167 items in store $A$ . If $m$ represents the median price, in dollars, of all the items in store $A$ , which of the following must be true?

Ready4

Age of College Student (in years)	Number of Students
less than 18	11
18-27	274
28-37	129
38-47	52
48-57	27
58 and older	474

The table above gives information about the current ages, in years, of the 967 students who currently attend College $Y$ . If $m$ represents the median age of the students at College $Y$ , then which of the following must be true?

Ready4

Age of Child (in months)	Number of Children
less than 1	15
1-6	32
7-12	25
13-18	20
19-24	17
25-30	19
31 and older	13

The table above gives information about the current age values, in months, of 141 children that were born at Hospital $Z$ over the past three years. If $m$ represents the median current age, in months, of the children born at Hospital $Z$ over the past three years, then which of the following must be true?

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $R$ and $S$ have the same $y$ -coordinates.

(2) In an $xy$ -plane, $S$ and $T$ do not have the same $x$ -coordinates.

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $L$ and $N$ have the same $y$ -coordinates.

(2) In an $xy$ -plane, $M$ has coordinates $(-1,6)$ .

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $P$ has coordinates $(-2,-3)$ .

(2) In an $xy$ -plane, $Q$ has coordinates $(4,-4)$ and $R$ has coordinates $(4,1)$ .

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $R$ has coordinates $(1,5)$ and $S$ has coordinates $(7,5)$ .

(2) In an $xy$ -plane, $S$ has coordinates $(7,5)$ and $T$ has coordinates $(7,1)$

Ready4

If lines $j$ and $k$ are parallel to each other, is the slope of line $k$ negative?

(1) line $k$ has a $y$ -intercept of $7$

(2) line $j$ passes through the point $(-2,-1)$

Ready4

If lines $g$ and $h$ are perpendicular to each other, is the slope of line $g$ negative?

(1) line $h$ passes through the point $(-3,-3)$

(2) the slopes of lines $g$ and $h$ are negative reciprocals of each other

Ready4

If lines $p$ and $q$ are perpendicular to each other, is the slope of line $p$ positive?

(1) line $q$ passes through the point $(-4,2)$

(2) lines $p$ and $q$ intersect at the point $(-2,1)$

Ready4

If lines $r$ and $s$ are parallel to each other, is the slope of line $s$ negative?

(1) line $r$ passes through the point $(5,1)$

(2) line $s$ passes through the point $(5,-1)$

Ready4

The figure above indicates the Quadrant labels for a rectangular coordinate system. In which two quadrants does the equation $-xy=p$ lie if $p > 0$ ?

Ready4

On the circle above with center $O$ , the length of arc $HJK$ is $3 \pi$ . What is the circumference of the circle?

Ready4

$\left \lfloor m \right \rfloor$ denotes the greatest integer less than or equal to $m$ . Is $k > 1$ ?

(1) $k=m-\left \lfloor m \right \rfloor$

(2) $\left \lfloor k \right \rfloor= 0$

Ready4

What is the value of $m^2+n^2$ ?

(1) $m=n$

(2) $(m+n)(m+n)=25$

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

A small throw rug with a border of uniform width is shown. The width of the rug, not including the border, is 5 feet. What are the dimensions of the rug, including the border?

(1) The border has width of 1 foot and the area of the rug, not including the border, is $30 \text{ ft}^{2}$ .

(2) The area of the rug, including the border, is $56 \text{ ft}^2$ .

Ready4

What is the area of rectangle $T$ ?

(1) The width of rectangle $T$ is $7$ .

(2) The perimeter of rectangle $T$ is $62$ .