题目列表

题目内容
In the xy-plane, the points P, Q, and S have coordinates (14, 10), (1, 0), and (6, 0), respectively. What is the area of triangular region PQS ?
A farmily paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?
If 2,4, 6, and 9 are the digits of two 2-digit integers, what is the least possible positive difference between the integers?
For which of the following values of x is the units digit of the product $$(2)(3^{x})$$ equal to 4?
How many 6-digit integers greater than 400,000 can be formed such that each of the digits 2, 3, 4, 5, 6, and 7 is used once in each 6-digit integer?
If $$\frac{3x}{2}=\frac{5}{7y}$$ and $$\frac{3y}{5}=\frac{a}{x}$$,what is the value of a ?
Give your answer as a fraction.
Of the total number of students enrolled at University U in the fallof 2008, $$\frac{3}{8}$$ were sophomores and $$\frac{1}{50}$$ were biology majors. Which of the following could be the total number of students enrolled at University U in the fall of 2008 ?
Indicate all such numbers.

The figure above represents a semicircular garden that is enclosed by 20 feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
The average (arithmetic mean)of x and z is greater than y, and x < y < z.

Quantity A

The average of x, y, and z

Quantity B

The median of x, y, and z


Quantity A

The least integer x that satisfies the inequality $$x^{3}$$ > - 30

Quantity B

-3



The dotted line segments separate the rectangular region into six identical smaller rectangular regions.

Quantity A

The area of triangular region WXV

Quantity B

The area of triangular region XYV


a≠0

Quantity A

a+1

Quantity B

(1/a)-1



Square FGHJ has sides of length x. Region FOJ is a sector of the circle with center F.

Quantity A

The area of the shaded region

Quantity B

$$\frac{x^{2}}{4}$$


Atotal of 1 ,500 boxes are stored in four warehouses. The number of boxes stored in the individual warehouses are x, y, z, and w, respectively, where w= 2x and z= 2y.

Quantity A

x+y

Quantity B

500



In the xy -plane, line segment RS is one of the sides of square RSTU (not shown).

Quantity A

The area of square RSTU

Quantity B

13


n is a positive integer.

Quantity A

The remainder when $$3^{4n}$$ is divided by 10

Quantity B

1




In the xy-plane, a line with equation y = mc + b,where m and b are constants and mb≠0, has a y-intercept that is twice the x-intercept.

Quantity A

m

Quantity B

-2


n is a positive integer.

Quantity A

$$\frac{1}{3^{n}}$$

Quantity B

$$3(\frac{1}{4^{n}})$$



Quantity A

PS

Quantity B

RS


In a certain club, the average (arithmetic mean) age ofthe 35 males is 24.2 years and the average age of the 25 females is 27.6 years.

Quantity A

The average age of all of the people in the club

Quantity B

25.9


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