#### 题目列表

The figure shows a circle with center A and radius 10, and a circle with center D and radius 3. AD intersects the two circles at points F and E, respectively. Line is tangent to the two circles at points B and C, respectively. If the length of FE is 12, what is the length of BC ?

Length of BC:_____
x is a positive two-digit integer with units digit 6, and y is a positive two-digit integer with tens digit 8.

#### Quantity A

The least possible value of x+y

#### Quantity B

96

Each of six consecutive positive integers is divided by 6.

#### Quantity A

The average (arithmetic mean) of the 6 resulting remainders

#### Quantity B

3.5

x, y, and z are positive integers.

3x+2y+z=42

Quantity A:x+y+z

Quantity B:18

The center of the circle is O and RS>ST.

x

y

m+t=1

m < t

mt

#### Quantity B

$m^2$

x is an integer.

Quantity A:$\frac{10^{3x+1}}{10^{x+3}}$

Quantity B:$\frac{10^{x+1}}{10^{1-x}}$

#### Quantity A

The number of possible values of the product pt, where p and t are even positive integers and 30< pt< 34

#### Quantity B

1

A submarine`s depth, in meters below sea level, at a time t minutes after it began to dive below the sea surface is equal to $g_{(x)}$ for 0≤t≤6. Its diving speed, measured in meters per minute, is the rate of change in depth.

#### Quantity A

The average diving speed of the submarine for 0≤t≤3

#### Quantity B

Quantity B:The average diving speed of the submarine for 3≤t≤6

The table shows the distribution of the grades on a chemistry exam taken by a class of 40 students. If one of the students is to be chosen at random, what is the probability that the student chosen will be one whose grade on the exam is greater than or equal to 90 ?

Give your answer as a fraction.

_____/_____
In a certain store, notebooks that normally sell for 59 cents each are on sale for 2 for 99 cents. If a person buys 2x of these notebooks at the sale price, what is the value of x if the total amount saved compared to buying at the normal price is 95 cents?
List J: 5, 7, 9

List K: 4, 6, 8, 10

Set M will be created by choosing 2 different numbers from list J and 1 number from list K. How many different combinations of numbers are possible for set M ?_____
If x is an integer, which of the following must be an even integer?

Point B is the center of the circle, the circle is tangent to line , and the area of triangular region ABC is 18. What is the circumference of the circle?
For how many of the times at which readings were taken was the difference between the concentrations at the two heights greater than 50 parts per million?
For approximately how many hours was the concentration of carbon dioxide at 0.5 meter greater than or equal to the concentration at 0.2 meter?
The median of the 12 recorded concentrations at 0.2 meter is approximately how many parts per million?

The table shows the profit or loss that a travel company makes for rendering services to different numbers of passengers. If each additional passenger increases the profit, or decreases the loss, by the same dollar amount, what is the number of passengers for which the travel company will have neither a profit nor a loss?

Line segment AB is a diameter of the circle and has length 5. Points C and D are on the circle as shown. What is the area of the shaded region?
The volume of the interior of a rectangular storage bin is 240 cubic meters. If the perimeter of the interior base of the bin is 40 meters, which of the following could be the dimensions of the interior of the bin, in meters?

Indicate all such dimensions.

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