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题目内容
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?
Give your answer as a fraction.


The circle in the xy-plane shown has radius 5 and center O. Line l has a slope of $$\frac{1}{2}$$ and passes through the center of the circle. P is the point in the first quadrant at which l intersects the circle. Which of the following represents the coordinates of point P?
If a two-digit number that has x as the tens digit and y as the units digit is multiplied by 5, then the value of the product is

Quantity A

The number of odd integers between $$\sqrt{12}$$ and $$12^{2}$$

Quantity B

70
z is a positive integer. When 17 is divided by z, the remainder is 2.

Quantity A

z

Quantity B

4
X=1!+2!+3!+4!+5!+6!+7!+8!+9!+10!

What is the remainder when X is divided by 20?
k is a positive integer

Quantity A

The remainder when k is divided by 7

Quantity B

The remainder when 2k is divided by 7
k and n are consecutive positive odd integers.

Quantity A

The least common multiple of k and n

Quantity B

kn
When r percent is expressed as a fraction and the fraction is reduced to lowest terms, the result is $$\frac{n}{20}$$, where n is an integer. Which of the following could be the value of r?


Based on the table shown, the braking distance of car C for a speed of 50 miles per hour is what percent greater than the braking distance of car C for a speed of 40 miles per hour?

Give your answer as a percent.

_____%
Today a certain machine is worth 20 percent less than it was worth a year ago, and it is worth x percent less than it was worth two years ago. A year ago the machine was worth 20 percent less than it was worth two years ago.

Quantity A

x

Quantity B

40
y=2x+1, where x > 0.

Quantity A

The percent increase in the value of y when the value of x is increased by 10%

Quantity B

10%
It costs d dollars to buy t thumbtacks. At this rate, what is the cost of t+2,500 thumbtacks, in dollars?
The length of a model car is 8.2 centimeters, and the ratio of the length of the model car to the length of the actual car that it represents is 1 to 64. The length of the actual car is how many meters? (1 centimeter=0.01 meter)

Give your answer to the nearest 0.1 meter.

_____meters
A tank initially contains g gallons of water. Beginning at 1 o'clock in the afternoon, water flows into the top of the tank at a constant rate of x gallons per minute and out of the bottom of the tank at a constant rate of y gallons per minute. If x < y, in how many minutes after 1 o'clock in the afternoon is the volume of water in the tank equal to $$\frac{1}{2}$$g, in terms of g, x, and y ?
When working at their respective rates, machine A produces 50 vases per hour and machine B produces 60 vases per hour.

Quantity A

The total number of vases machine A produces

Quantity B

The total number of vases machine B produces
r > s

List L consists of r values, and the average (arithmetic mean) of the values in L is 52.8. List M consists of s values, and the average of the values in M is 54.2. List K consists of the values in L and the values in M.

Quantity A

The average of the values in K

Quantity B

53.5


Tickets for a carnival are sold either individually or in packages of 10 tickets or 20 tickets at the costs shown in the table. A group of friends bought n tickets for the least possible total cost. A second group of friends bought more than n tickets for a total cost that was less than the first group`s total cost. Which of the following could be the value of n?

Indicate all such values.
Paul`s family put m dollars in a new savings account on May 2, 1990, and put the same number of dollars in the account on May 2, 1991, and again on May 2, 1992. If the annual interest rate on this account was 4 percent compounded annually and there were no other deposits to the account or withdrawals from the account, which of the following represents the total number of dollars in the account on May 2, 1993, just after interest had been compounded for the third time, in terms of m?
The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n?

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