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题目内容
A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
If a person is randomly chosen from Country M, approximately what is the probability that the person will have one of the two most common of the eight blood types?
In region $$R_3$$, for how many of the eight blood types are there fewer than 100,000 people with that blood type?
For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is $$m$$ meters and the median length is $$d$$ meters. Which of the following statements must be true?

Indicate all such statements.


The table above summarizes customer satisfaction ratings for two banks, where each rating is an integer from 1 to 10. Which of the following statements must be true?

Indicate all such statements.
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$.

The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer.

If $$x$$ is equal to the sum of the integers from 1 to 100, and if $$y$$ is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of $$x-y$$?
If a sequence is defined by $$a_{n}=n(-1)^{n}$$ for all integers $$n$$ from 1 through 499, what is the sum of all the terms in the sequence?
A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.
$$x^{2}$$=4 and $$y^{2}$$=1

Quantity A

$$(x-y)^{2}$$

Quantity B

3
In a game, the cards in a certain deck are distributed to players one at a time until each player has the same number of cards and there are not enough cards left in the deck to distribute one more card to each player. The number of cards in the deck is between 60 and 100. If the cards in the deck are distributed to 5 players, 2 cards will be left in the deck. If the cards in the deck are distributed to 6 players, 4 cards will be left. If the cards in the deck are distributed to 7 players, how many cards will be left in the deck?

Quantity A

$$(4x)(3(-2x+1))$$

Quantity B

$$(4)(3x)(1-2x)$$
-9, -6, 3, 9

In the sequence above, each term after the first two terms is the absolute value of the difference of the two terms preceding it.

Quantity A

The 26th term of the sequence

Quantity B

0
For two statistics classes, class A and class B, there are more students in class A than in class B. The heights of the students in both classes were measured.

Which of the following statements individually provide(s) sufficient additional information to conclude that the average(arithmetic mean)height of the students in class A is greater than the average height of the students in class B?

Indicate all such statements.


In polygon PRSTW, side RS is parallel to side PW.

Quantity A

x+y+z

Quantity B

360
In a triangle ABC, the length of line segment AC is 2 and the length of line segment BC is 1.

Quantity A

The length of line segment AB

Quantity B

$$\sqrt{5}$$
For some maintenance work, an electrician charged $288 for labor and parts. The labor charge was $40 per hour, and the total charge for labor was 5 times the charge for parts. How many hours of labor did the electrician charge for the work?

_____hours
In a group of people, 30 people speak French, 40 speak Spanish, and $$\frac{1}{2}$$ of the people who speak Spanish do not speak French. If each person in the group speaks French, Spanish, or both, which of the following statements are true?

Indicate all such statements.
Each of $$a$$, $$b$$, $$c$$, and $$d$$ is a positive integer less than $$10$$, and the product of $$a$$, $$b$$, $$c$$ and $$d$$ is $$945$$.

Quantity A

The sum of $$a$$, $$b$$, $$c$$ and $$d$$

Quantity B

$$24$$
A dealer's gross profit on the sale of a car is defined as the selling price of the car minus its cost to the dealer. A car dealer sold $$n$$ cars for $$s$$ dollars each. If the dealer's total gross profit was $$p$$ dollars, what was the dealer's average (arithmetic mean) cost per car, in dollars?

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