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题目内容
The area of a circle is equal to the area of a square.

Quantity A

The perimeter of the circle

Quantity B

The perimeter of the square


In a circle, Sector A has a central angle of 80° and an arc of 6. Sector B is besides Sector A and has an arc of 3. What`s the length of the rest arc (deducting the two arcs from the circumference of the circle)?

R and r are two radii of the greater and smaller circle, respectively. What is the ratio of minor arc AB to minor arc DF?
Give your answer using R and r.

An isosceles triangle is inscribed in a circle, and the base is the diameter of the circle whose radius is 5. What is the area of the shaded area?

If the sum of the area of the three semi-circles is 48π, what is the length of AB?

In the xy-plane, the shaded area above is composed by three semi-circles. What is the area of the shaded area?
When the sum of decimal number x and y is rounded to hundredths digit, the result is equal to x.

Quantity A

y

Quantity B

0.007


What is the value of x such that $$\sqrt{\frac{24}{x+1}}$$ will be an irrational number?

Indicate all such numbers.

The figure above is a large semi-circle with radius x and two smaller semi-circles with diameter x.

Quantity A

The area of the shaded region

Quantity B

The sum of the two small semi-circle



OC is the diameter of the smaller circle, but the radius of the larger circle. O is the center of the larger circle.

Quantity A

The area of the blue region

Quantity B

The sum of the yellow region




Quantity A

-x

Quantity B

-y


On a number line, Point P lies between -3 and -2, Point Q lies between -1 and 0, while Point R lies between 0 and 1.

Quantity A: The distance between point P and point Q

Quantity B: The distance between point Q and point R
|1-|x-250||=1

What`s the number of all the possible values of x?
|x|+|y|=|x+y|

Which of the following statements must be true?

Indicate all such statements.
|2+k|=|2-k|

Quantity A: k

Quantity B: 0

Quantity A

|$$x^{2}$$-x-3|

Quantity B

|$$-x^{2}$$+x+3|


How many x can satisfy the equation | $$x^{2}$$-5x |=1?
f(x)=|x+2|, where -3≤x≤-2, what could be the value of f(x)?

Indicate all such numbers.
If 12% of all books in a library are reference books, then what is the closest ratio of the number of reference books to that of non-reference books?

Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


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