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191031	In the figure, a smaller semi-circle is in the larger semi-circle. A and B are centers of these two semi-circles, respectively. What is the area of the shaded part? (1)The radius of the larger semi-circle is 15 (2)AB =3
191031	Three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were melted into a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball? (The volume of a sphere is $$\frac{4}{3} \pi r^3$$, where r is the radius.)
191031	$$ f ( n ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } , \frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } } = ? $$
191031	Tom converts x euros to some dollars. The bank converts his euros to dollars firstly, and then charge 4% commissions. If Tom gets 1830 dollars finally, what is the value of x?
191031	In the figure, a square is inscribed with a regular octagon. The length of the side of this regular octagon is 2. How much larger is the area of this square than that of this regular octagon?
191031	A circle with a radius of 12 inches is cut out of a sector with a central angle of 120 degrees. Use the remaining sectors to make a cone. What is the altitude of the cone?
191031 还原机经选题	If k and n are positive factors, and f(n) represents the remainder when n is divided by k,is k>10? (1)f(k+32)=8 (2)f(k+42)=6
191031	A wall is painted with at least one of six different colors-red, yellow, blue, green, pink, and white. How many ways can white be used?
191031 还原机经选题	Of a positive three-digits number, the tens digit is three times the units digit, and the hundreds digit is twice the tens digit. Which of the following must be true? I. n是奇数 II. n的个位数,十位数,百位数相加为偶数 III. n除以3余1
191031	According to the table, what is the median? (1)4≤y≤7 (2)1≤y≤4
191031	In this figure, the large circle and the smaller circle have the same center (A). Line segment AC, a radius of the larger circle, intersects the smaller circle at point B, and line segment AE, another radius of the larger circle, intersects the smaller circle at point D. What is the radius of the smaller circle? (1)BC=6 (2)Arc CE : Arc BD=3
191031	If xy≠0, and x≤y, is x=y? (1)y is the greatest common factor of x and y (2)x is the least common multiple of x and y
191031	It takes Tom 15 mins to travel 2 miles from A to B, and 25 mins to return from B to A. If Tom travels the same route for this round trip with no stop, what is the average speed, in miles per hour, of Tom?
191031	There are n different books in a shelf. What is the value of n? (1)There are only two books of mathematics, and if these two different mathematics books are adjacent, the arrangements of these n books are 240. (2)If two books are selected randomly from the shelf, there are 15 different combinations.
191031	The formula of height, in meters, of a substance is h=180+120t-60t^2, and t is time, in seconds. What is the average speed of this substance from t=1 to t=3?
191031	If 6mn4 is a four-digit integer, then is m+n>10? (1) 6mn4 can be divisible by 134 (2) 6mn4 = 134k+r, where 0≤r<134, and 47≤k≤52
191031	The ratio of zinc to copper in X is 5:7, and the ratio of zinc to copper in Y is 8:7. Mix the equal amount of X and Y to produce a new mixture of Z. What is the ratio of zinc to copper in Z ?
191031 还原机经选题: 数论&代数	If$$ a_1=1$$,$$a_n=-1/[(a_{n-1})+1]$$,then what`s the value of $$a_{2012}$$?
191031	If $$f ( x ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } $$,then $$\frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } }$$?
191031	If a>b>c>0,is c>3? (1)$$\frac { 1 } { a } > 3$$ (2) $$ \frac { 1 } { a } + \frac { 1 } { b } + \frac { 1 } { c } = 1 $$