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The length of the three sides of a triangle is 13, 13 and 10

Quantity A

The area of the triangle

Quantity B

65


$$\frac{x}{y}$$ - $$\frac{w}{z}$$ =2

Car A travels x miles within y hours, while car B travels w miles within u hours.

Quantity A

The time it took car G to travel x miles at the average rate of y miles per hour

Quantity B

The time it took car H to travel w miles at the average rate of z miles per hour


In the rectangular coordinate system, the distance between the points $$(a, 2)$$ and $$(b, 6)$$ is $$5$$.

Quantity A

$$|a-b|$$

Quantity B

$$3$$


The ratio of the number of males to the number of females in a mathematics class is 4 to 5. The corresponding ratio in an English class is 5 to 4. There are 50 percent more males in the English class than there are in the mathematics class. What is the ratio of the number of females in the mathematics class to the number of females in the English class?
$$x \gt 0$$

$$y \gt 0$$

Quantity A

($$\sqrt{x}$$)($$\sqrt{y}$$)

Quantity B

$$\sqrt{x+y}$$


In the xy-plane, points (-4, 0) and point (4, 0) lie on a circle C.

Quantity A

The radius of circle C

Quantity B

4


All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in biology, 50 students enrolled in chemistry, and 35 students enrolled in physics. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and physics?
Indicate all such numbers.

According to the graph shown,for which of the years 2002-2006 was the percent increase from the preceding year in the annual gross income greater than 6 percent?
Indicate all such years.
What is the probability of selecting two socks of the same color when selecting two socks out of 5 pairs of different colors of socks (each pair of socks have the same color)?
Give your answer as a fraction.
When the integer n is divided by 33, the remainder is 24. Which of the following must be a divisor of n?
A pianist agreed to perform one concert at a fee $$12\frac{1}{2}$$ percent less than her usual fee and a second concert at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee?
On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.
The total revenue that firm P receives from the sale of a particular item is determined by multiplying the number of the items it sells by the price of the item. If the price of the item is to be decreased by 20 percent, by what percent must the number of the items sold increase to keep the total revenue unchanged?
One day in 1997 at a gas station in the United States near the border of Canada, gasoline was selling for $1.20 per gallon (United States dollars). On that day, 1 United States dollar could be exchanged for 1.25 Canadian dollars. If gasoline was being sold at an equivalent rate at a gas station across the border in Canada, which of the following calculations gives an approximate price, in Canadian dollars, for a liter of gasoline at the Canadian gas station that day? (1 gallon is approximately 3.785 liters.)
$3,000 is the initial amount placed in an account and the interest compounds monthly, and the total value is $3,090 at the end of the first month. At the end of the second month, what fraction of the total interest of the two months is the interest of the second month?

Give your answer as a fraction.
$$(3.8 \times 6^{25}) — (0.24 \times 6^{26})$$ =


The figure shows two congruent circles with centers $$P$$ and $$Q$$. If $$RP=QS=1$$ and $$XY=8$$, what is the distance between centers $$P$$ and $$Q$$?
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?


The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements.

Quantity A

The standard deviation of data set X

Quantity B

The standard deviation of data set Y


The letters in a certain name can be arranged in exactly 180 different orders. Which of the following could be that name?

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