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190310
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The square ABCD has a side length of 16. DE=DH=BF=BG=6. What is the ratio of the area of the hexagon DEFBGH to the area of the square ABCD?
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190310
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A positive integer x is less than 50. The remainder of x divided by 7 is 1. x=?
1: The remainder of x divided by 9 is 7.
2: The remainder of x divided by 4 is 3.
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190310
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Two athletes ran along a straight track. The speed of A was 10 miles/h, and the speed of B is 15 miles/h. A was 1mile ahead of B at first. What's the distance between A and B after half an hour?
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190310
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Is |x-y|>|x-z|？
1：|y|>|z|
2：x<0
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190310
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x,y are both positive integers.Is x < y?
1.$$\frac{x^2}{xy+x} < 1$$
2.$$\frac{x^2}{xy-x} < 1$$
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190310
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A student was asked to prepare 8L solution with a concentration of 40%. First, she mixed 2L solution with a concentration of 20%. Then she added p L solution with a concentration of 10% to the original solution. Finally, she added a q L solution with a concentration of 50% and she achieved her goal. What's the value of q?
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190310
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There are ten balls in a jar, three red balls, five green balls, and two blue balls. If a student took a ball out of the jug and then put it back, and then took another ball out. What is the probability that she took out a red ball once and a green ball once?
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190310
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$$B_n=A_{n+1}-A_{n},B_{n+1}-B_{n}=2$$.$$A_{10}$$=?
1: $$A_1=1,A_3=3$$
2: $$A_2=2,A_4=4$$
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190310
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The cuboid of 24*20*10 inch^3 is coated with a 1 inch plastic foam. How many cubic feet is the difference between the volume of the cuboid before and after coating the plastic foam?
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190310
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$$\frac{1}{(2n-1)!} - \frac{1}{(2n+1)!} = \frac{an^2+bn+c}{(2n+1)!}$$.a+b+c=?
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190321
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$$x^2 = x+1$$.$$x^3$$=?
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190321
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The radius of a big circle is twice the radius of the small circle. If the area of the larger circle is 1800, what is the area of the smaller circle?
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190321
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The lengths of the three sides of the triangle are $$x^2$$,2x,2x+1. What are the possible values of x?
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190321
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$$a_1=37$$,$$a_2=151$$.$$a_n=a_1+a_2+...+a_{n-1}$$,$$(n \geq 3)$$.$$a_n$$=?
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190321
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$$\sqrt{x}+\frac{1}{ \sqrt{x} }=2$$.x = ?
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190124
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x+2y+3z=7, x+3y+5z=12. x+y+z=？
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190124 还原机经选题: 文字题&几何
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Hexagon ABCDEF consists of rectangle BCEF, triangle ABF and triangle CDE. Triangle ABF and triangle CDE are congruent. AB = AF = 12, BC = 30. What is the possible length of AD?
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190124
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m,n are prime numbers. How many factors does m$$n^{2}$$ have?
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190124 还原机经选题: 文字题&几何
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ABCD is a square, and the length of side is 60. DE is a quarter arc with C as the center and CD as the radius. EF is a quarter arc with B as the center and BE as the radius. FG is a quarter arc with A as the center AF as the radius. GH is a quarter arc with D as the center DG as the radius. What is the total length of arcs DE + EF + FG + GH?
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190124
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The average of five integers is 24. How many of these five numbers are greater than 24?
1: The sum of the two maximum numbers is 59.
2: The sum of the two minimum numbers is 39.
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