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Quantity A

The sum of the distances $$PQ$$ and $$RS$$

Quantity B

$$3x$$
A class of $$20$$ students is divided into $$4$$ groups, and each group has at least $$3$$ students. Which of the following statements must be true?
Indicate all such statements.
$$\frac{1}{5} \lt x \lt \frac{2}{5}$$
$$\frac{2}{5} \lt y \lt \frac{4}{5}$$
Which of the following could be the value of $$\frac{x}{y}$$?
For which of the five zoos was the ratio of the annual budget to the annual attendance the least in 2003?
The current number of acres at Zoo $$D$$ is approximately what percent less than what the total number of acres will be after the zoo completes its planned acquisition?
$$c\times10^k + d\times10^{(k+1)}=$$


The figure shows the width, length, and height of a rectangular solid. Which of the following statements must be true?
Indicate all such statements.
Helen plays a game at an amusement park in which each player can win prizes valued at $$$1$$, $$$5$$ or $$$10$$. If she plays the game 3 times and wins a prize at least twice, which of the following could be the total value of the prizes won?
Indicate all such values.
A car traveled at an average speed of $$45$$ miles per hour for $$1$$ hour, at an average speed of $$60$$ miles per hour for the next $$\frac{1}{2}$$ hour, and then at an average speed of $$50$$ miles per hour for another $$\frac{1}{2}$$ hour. What was the car's average speed, in miles per hour, for the $$2$$ hours?
If $$a=\frac{b}{6}$$ and $$a =2-c$$, then in terms of $$a$$, what is the value of $$b+c$$ ?


In the rectangular coordinate system above, if $$(6, 5)$$ is the midpoint of $$OP$$, what is the area of triangular region $$OPQ$$?
The positive number $$y$$ has the property that $$y$$ percent of $$y$$ is $$169$$. What is the value of $$y$$?
$$m$$ and $$n$$ are integers.
$$(135)(75)=(3^m)(5^n)$$

Quantity A

$$m$$

Quantity B

$$n$$
$$A$$ and $$W$$ are two vertices of a regular polygon with $$n$$ sides, where $$n \gt 10$$.

Quantity A

The number of triangles with vertices $$A$$, $$W$$, and one other vertex of the polygon

Quantity B

$$n-1$$
Which of the following implies that $$x$$ must be less than $$2$$ ?
If $$x \gt 0, y \gt 0$$, and $$z \lt 0$$, which of the following numbers must be negative?
Indicate ALL such numbers.
$$x \leq 50$$
$$y \leq 4$$

Quantity A

$$xy$$

Quantity B

$$300$$
In a certain trivia game, each contestant answers $$20$$ questions and earns or loses points as follows. The contestant earns $$10$$ points for each correct answer and loses $$2$$ points for each incorrect answer. If the contestant begins the game with $$0$$ points, which of the following CANNOT be the total number of points that the contestant has after answering the $$20$$ questions?
At a certain candy store, the price of a box of taffy is $$$6$$ and the price of a box of chocolates is $$$9$$. The store sells x boxes of taffy and y boxes of chocolates for a total price of $$$360$$. Which of the following statements must be true?
Indicate all such statements.

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