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Manhattan	Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?
	In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?
	Of the following, which is the closest approximation of $$\frac{0.52\times0.49}{1.998}$$
OG12	Of the following, which is the closest approximation of $${50.2}*\frac{0.49}{199.8}$$
PREP07 Test 2	If the two regions above have the same area, what is the ratio t : s ?
190113 还原机经选题: 文字题&几何	There are 64 identical cubes with side of 1. Only one face of each cube is painted. These 64 cubes will be put together into a big cube. What's the maximum proportion of painted sides on the surface of this big cube?
191222	There are ten cards marked with the numbers from 1 to 10 respectively. Draw two out of ten cards and never put them back. What's the probability that the sum of the two numbers on the two cards drawn is less than the average of the ten cards?
190215	If a coin is even, and the possibility of the occurrence of showing the head and the tail are equal. What is the probability that the head shows up at least one time?
	In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE. What is the area of the triangular region BCE?
PREP07 Test 2	The value of $$(-89)^\frac{1}{3}$$ is
Ready4	If $r$ , $s$ , and $t$ are constants, where $r < s < t$ , and $x^3-16x=(x-r)(x-s)(x-t)$ for all numbers $x$ , what is the value of $t$ ?
300难题	In the figure above, the area of the shaded region is
	For all positive values of P,W,L and A, consider the family of rectangles having perimeter P feet, width W feet, length L feet, and area A square feet. In the first column of the table, select the expression in terms of P and W that is equivalent to A, and in the second column of the table select the expression in terms of P and W that is equivalent to L. select only two expressions, one in each column.
Ready4	If $a$ , $b$ , and $c$ are constants, where $a < b < c$ , and for all numbers $x$ : $x^3-4x=(x-a)(x-b)(x-c)$ What is the value of $a$ ?
191020	If 4^4^4=2^2^x, what is the value of x ？
Magoosh	$${2+\sqrt{2}}\over{2-\sqrt{2}}$$
PREP07 Test 1	Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?
PREP07 Test 2	Is $$x^4+y^4>z^4$$ ?(1) $$x^2+y^2>z^2$$(2) x + y > z
OG21 OG2022	In the xy plane, the distance between the origin and the point（4,5）is the same as the distance between which of the following two points?
Ready4	If $\|x-\frac{3}{<font color='#FE8080'>4</font>}\| < \frac{9}{<font color='#FE8080'>4</font>}$ , which of the following could be a value of $x$ ?