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题目内容


Quantity A

The ratio of the perimeter of square Ⅱ to the perimeter of square I

Quantity B

The ratio of the area of square Ⅱ to the square of square II
$$x+y=5$$

$$2x+2y=8$$

Quantity A

The shortest distance between the graphs of the two equations

Quantity B

1
$$n$$ is a positive integer and $$k=10,000n$$.

Quantity A

The sum of the digits of $$n$$

Quantity B

The sum of the digits of $$k$$
A bag contains a total of 12 bagels consisting of 5 plain bagels, 3 garlic bagels, and 4 cinnamon raisin bagels. If 2 bagels are to be selected at random from the bag without replacement, what is the probability that both bagels will be garlic bagels?

Give your answer as a fraction.
A bag contains 5 quarters, 10 nickels, and 15 dimes. If 4 of these coins are to be picked at random from the bag, without replacement, what is the probability of getting 4 quarters?
The probabilities that independent events F and G will occur are 0.50 and 0.64, respectively. What is the probability that neither of them will occur?
Ray has applied for acceptance to two different colleges. If the probability is 0.20 that he will not be accepted to either college, what is the probability that he will be accepted to at least one of them？
Event E and event F are independent. $$p$$ is the probability that event E will occur. $$q$$ is the probability that event F will occur.

Quantity A

The probability that both events E and F will occur

Quantity B

$$pq$$
Werner and Kim are working independently at decoding a message. The probability that Werner will decode the message is equal to the probability that Kim will decode the message. The probability that both Werner and Kim will decode the message is 0.16.

Quantity A

The probability that Werner will not decode the message

Quantity B

0.5
A certain bag contains 4 coconut cookies and 6 chocolate chip cookies. Luis picks one cookie at random and it is a coconut cookie, which he puts back in the bag. If he is to select another cookie at random, what is the probability that it will also be coconut?
For a certain price, the buyer of a set of playground equipment must choose any 3 of 5 large pieces of equipment and any 4 of 5 small pieces of equipment. How many different sets of large and small pieces are available to the buyer for that price?
The sequence $$a_1$$, $$a_2$$, $$a_3$$, ...……, $$a_{200}$$ is defined by $$a_n=n!$$ for all integers $$n$$ from $$1$$ to $$200$$. What is the units digit of the sum of the $$200$$ integers in the sequence?
How many positive integers less than 20 can be written as the product of two distinct prime numbers?


Points A,B,C, D, and E are on the circle with center O, and $$AE=BC=CD$$. The area of triangular region BCD is $$x$$, and the area of triangular region AOE is $$y$$.

Quantity A

$$\frac{x}{y}$$

Quantity B

$$2$$


The circle shown has center O and radius 11. If PR = 12, what is the area of triangle PQR?

Give your answer to the nearest 10.
List L consists of 82 consecutive odd integers.

Quantity A

The range of the integers in list L

Quantity B

164
S is a set of $$n$$ consecutive even integers. What is the range of the integers in S, in terms of $$n$$?
List K consists of 4 consecutive even integers, and list M consists of 7 consecutive odd integers. The greatest integer in list K is 5 less than the median of the integers in list M.

Quantity A

The range of the 11 integers of lists K and M combined

Quantity B

17
$$r$$ and $$t$$ are consecutive even integers, and $$r \lt t$$.

Quantity A

$$\frac{1}{3}(t-r)^5$$

Quantity B

$$10$$
Set K consists of 6 consecutive odd integers. What is the range of the integers in K?

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