#### 题目列表

O is the center of the semicircle. If and ∠BCO=30 and BC =$6\sqrt3$ , what is the area of triangle ABO?
If the hypotenuse of an isosceles right triangle has length of 8, then the area of the triangle is

If ABCD is a rectangle, BC = x and AB = 2x, then the circumference of the circle, in terms of x, is
If the length and width of rectangle R are each increased by 1, the area of the new rectangle will be 72. If the length and width of rectangle R are each decreased by 1, the area of the new rectangle will be 35. What is the perimeter of rectangle R?
If the ratio of the volume of cube A to the volume of cube B is 1 to 8, what is the ratio of the surface area of cube A to the surface area of cube B?
A cow is tethered to the corner of a rectangular shed. If the length of the rope is 5, and the shed has length 4 and width 3, what is the maximum area that is accessible to the cow? (The cow cannot enter the shed).
x is between

Note: Figure not drawn to scale
If the circle with center O has area 9π, what is area of equilateral triangle ABC?
A is the center of the circle, and the length of AB is $\sqrt{2}$. The blue shaded region is a square. What is the area of the shaded region?
If AC = BC and CD = DE then, in terms of x, the value of y is

Note: Figure not drawn to scale
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then the area of the shaded region is

Note: Figure not drawn to scale

#### Quantity A

Number of primes between 50 and 60

#### Quantity B

Number of primes between 80 and 90

x and y are prime numbers and x + y = 18

xy

#### Quantity B

70

x and y are prime numbers.

x + y = 18

y

14

#### Quantity A

Product of even integers from -12 to 6 inclusive.

#### Quantity B

Product of odd integers from -5 to 13 inclusive.

w , x and y are consecutive even integers.

wxy = 0

w < x < y

x

#### Quantity B

0

n is a positive integer.

n is not divisible by 4.

n is not divisible by 5.

#### Quantity A

The remainder when n is divided by 4

#### Quantity B

The remainder when n is divided by 5

#### Quantity A

The remainder when positive integer x is divided by 11

11

#### Quantity A

The number of distinct prime factors of $20^{6}$

#### Quantity B

The number of distinct prime factors of $32^{10}$

1 2 ... 16 17 18 19 20 21 22 ... 25 26

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