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题目内容
Line k: y=mx (m≠0)

Line l is perpendicular to line k and passes through point (1, m).

Which of the following could be the x-intercept of line l?

Indicate all such points.
From X to Z, A and B have different choices of routes. A goes directly from X to Z at an average speed of 20mile/h for 10 miles, while B starts first from X to Y at an average speed of 20mile/h for 7miles, and then from Y to Z at an average speed of 30mile/h for 4miles. What is the minimum minutes from X to Z between A and B?
In a store, $$\frac{2}{3}$$ of the employers take care of the customers and $$\frac{1}{5}$$ of the employers wash dishes. What is the proportion of employers who do not take care of the customers or wash dishes?
In a list of 9 integers, the median is 1, the mean is 0, the only mode is 2, and the greatest is 3.

Quantity A

The least possible range of the 9 integers

Quantity B

5
There are two equilateral parallelogram P and Q. The perimeter of Q is twice as that of P. Both P and Q have a diagonal of 6, and the other diagonal of P is 8. Which of the following is the length of the other diagonal of Q?


The circumference of a circle with radius 3 is divided into 4 arcs of lengths x, y, z, and w, as shown.

Quantity A

The average (arithmetic mean) of x, y, z, w

Quantity B

2π
The expression $$x^{4}+2x^{2}y^{2}+9y^{4}$$ is equivalent to which of the following?
a=3+|x-4| (-2 ≤ x ≤ 5)

What is the positive difference between the greatest and least value of a?
Set A={1, 5, 9, 13, 10}

Set B={1, 5, 9, 13, 9}

Set C={1, 5, 9, 13, 7}

Set D={1, 5, 9, 13, 5}

Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?
The average (arithmetic mean) of the values of the homes in Town A is $100,000. The average of the values of the homes in Town B is $150,000. The number of homes in Town A is between 2 times and 3 times the number of homes in Town B. Which of the following values could be the average of the values of the homes in Town A and Town B combined?

Indicate all such values.
A's salary is 33$$\frac{1}{3}$$ percent greater than B, while B's salary is 75 percent of C.

Quantity A

A's salary

Quantity B

C's salary
x and y are nonnegative numbers.

Quantity A

$$\sqrt{xy}$$

Quantity B

$$\frac{x+y}{2}$$

Quantity A

The greatest prime factor of 50

Quantity B

The greatest prime factor of 60


In the above figure, ABCD, OAPD, OBQC are all squares, and the radius of the circle O is 1.

Quantity A

The length of the semicircle PQ

Quantity B

The sum of lengths of line segments PD, DC and CQ
The salaries of five employees A, B, C, D and E are all positive integers. If the median salary of all five employees is 2000, and the salary of C, D, and E is 2000, 4000, 5000, respectively. Which of the following could be the average salary of all five employees?

Indicate all such numbers.
An organization offers only three types of annual memberships. Basic memberships cost $50 each, standard memberships cost $70 each, and premium memberships cost $100 each. Last year, a total of 200 memberships were purchased at an average arithmetic mean) cost of $80 per membership.

Which of the following statements individually provide(s) sufficient additional information to determine the number of premium memberships purchased last year?

Indicate all such statements

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