题目列表

题目内容
$$C_1$$ and $$C_2$$ are two circles in the xy-plane.

The center of circle $$C_1$$ is inside circle $$C_2$$.

Quantity A

The number of points at which $$C_1$$ and $$C_2$$ intersect

Quantity B

1




0 < x < 1

Quantity A

$$\sqrt{x}$$+$$\sqrt{1-x}$$

Quantity B

1




|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A

M

Quantity B

1




John bought a suit for a selling price of s dollars, where s is an integer greater than 50. He paid a tax on the suit that was r perccent of the selling price of the suit, where r is a positive integer less than 10.

Quantity A

The tax John paid on the suit

Quantity B

$$\frac{sr}{100}$$




In the xy-plane, the y-intercept of line k is greater than the x-intercept of line k.

Quantity A

The slope of line k

Quantity B

0




The number 20.0 is 2 standard deviations above the average (arithmetic mean) of the numbers in a certain list, and the number 6.5 is 3 standard deviations below the average of the numbers in the list.

Quantity A

The average of the numbers in the list

Quantity B

14.6




Light travels at approximately 186,000 miles per second. Which of the following is closest to the number of miles that light travels in 3 hours?
If the ratio of the area of circular region $$C_{1}$$ to the area of the circular region $$C_{2}$$ is 4 to 9, what is the ratio of the diameter of $$C_{1}$$ to the diameter of $$C_{2}$$?
Of the 72 fish in a certain aquarium, $$\frac{1}{3}$$ are brown and the remaining $$\frac{2}{3}$$ are white. Among the 72 fish, $$\frac{1}{2}$$ have orange fins and $$\frac{1}{2}$$ have black fins. If $$\frac{2}{3}$$ of the white fish have orange fins, how many of the brown fish have black fins?
Anna sold 10 pens at a price of 59 cents each. Paul sold 10 pens at a price of 99 cents for 2 pens. The total price of the pens that Anna sold was how many cents greater than the total price of the pens that Paul sold?

_____cents
For how many of the years shown was Company B's monthly rate at least 10 percent greater than Company A's monthly rate?
Which of the following is closest to the percent increase in the monthly rate for Company A from 1996 to 1997?
For which of the following years was the amouont by which the monthly rate for Company C exceeded that for Company A closest to the amount by which the monthly rate for Company B exceeded that for Company C?
For all integers x and y, the operation ▽ is defined as x▽y=x if xy is even, and x▽y=-y if xy is odd. What is the value of (-57▽68)▽(-81)?


The graphs above shows the distribution of men, women, and children who visisted a certain zoo in 2008 and 2009. Which of the following statements must be true?

Indicate all such statements.
The cirfumference of the rim of a circular crater is 9,000 meters.

Quantity A

The diameter of the rim of the crater

Quantity B

3,000 meters






Quantity A

$$\frac{ST}{RT}$$

Quantity B

$$\frac{ST}{RS}$$




Quantity A

$$(4^{a})(4^{b})$$

Quantity B

$$2^{2a+2b}$$




Quantity A

The greatest positive prime factor of 48

Quantity B

The greatest positive prime factor of 45




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