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题目内容

The sides of the two squares is 4 and 6, respectively. What is the area of the shaded region?

The quadrilateral ABCD is a square, and EFGB is a rectangle, AE=CG

Quantity A

The area of ABCD

Quantity B

The area of EFGB



In square ABCD, the side of each side is 15, If the area of the shaded area accounts for 75% of the total area of the entire square, then what is the value of x?
Give your answer as a decimal.

If the area of △EDC is 12 and BE:EC=3:2, what is the area of trapezoid ADEB?
The area of a square is equal to the area of an equilateral triangle.

Quantity A

The side of the square

Quantity B

The side of the triangle



Line l is parallel with line m, EF=CD, FG=AB.

Quantity A

The area of trapezoid ABCD

Quantity B

The area of △EGH


A circle is inscribed in a square

Quantity A

The area of the circle

Quantity B

One-half of the area of the square


The circumference of a circle is π.

Quantity A

The area of the circle

Quantity B

$$\frac{π}{4}$$



R and r are two radii of the larger and smaller circle, respectively, if the ratio of R to r is 3. The shaded region is what percentage of the larger circle?
Give your answer as a fraction.

In the figure above, Circle O is tangent to three sides of the rectangle ABCD. BD=l, CD=n, and area of rectangle ABCD is four times of the area of Circle O.

Quantity A

$$\frac{l}{n}$$

Quantity B

$$\frac{π}{2}$$


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?
x and y are positive decimals such that x+y rounded to the nearest hundredth is x.

Quantity A

y

Quantity B

0.007


For which of the following values of x does the expression $$\sqrt{\frac{24}{x+1}}$$ represent an irrational number?

Indicate all such numbers.

The three arcs are semicircles.

Quantity A

The area of the shaded region

Quantity B

The sum of the areas of the two unshaded semicircular regions




In the following number line, |x-y|=|z-y| (x < z).

Quantity A

$$\frac{x+z}{2}$$

Quantity B

y


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