190321 还原机经选题: 文字题&几何
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Someone ran 6 miles/h for a while, then she rode at the speed of 15 miles/h. Her cycling time was 16 min longer than her running time. The distance of cycling was 10 miles longer than the distance of running. How long did she run?
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190321
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In a rectangular coordinate system, lines r and h both pass through the point (1,-1). The product of the slope of line r and line h is -1. The x-intercept of line r is 3. What is the vertical intercept of line h?
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190321
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m and v are integers. m+v=?
1:mv=6
2:$$(m+v)^2=25$$
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190321
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In a Cartesian coordinate system, a straight line goes through the point (1,p). Is the slope of this line greater than 0?
1: This line goes through the point (p,13).
2: The line goes through the point (0,1).
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190321
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Quadrilateral ABCD is a rectangle. AD=20, AM=DN, BP=QC. PQ=?
1:BP+QC=MN
2:AM+ND=PQ
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190321
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In the rectangle ABCD, E,F,G and H are the midpoints of each side, BC=x, CD=y. How to express the shaded area with x and y?
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190321
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The ratio of the three sides of a triangle is 5:12:13. The length of longest side of the triangle is 52. What is the area of a triangle?
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190321
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$$k^4$$can be divided by 32. What is the reminder of k when divided by 32?
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190321 还原机经选题
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n is a positive integer. What is the reminder of when divided by 12?
1: n is even.
2: n is a multiple of 3.
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190321
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Teams A and B played basketball together. In the first half of the game, team A was 20 points behind team B. Which team won the game in the end?
1: In the second half of the game, team A won twice as many points as team B.
2: The total score of team B was 90.
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190321
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The line $$l_1$$ is perpendicular to the line $$l_2$$, whose equation is y=3x+4. What is the slope of $$l_1$$?
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190321
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There are five cylindrical containers, one large cylindrical container and four small cylindrical containers. The large cylindrical container has a diameter of 8 and a height of 16. The volume of the water it contains is 75% of that of the container. The diameter and height of four small cylindrical containers are 4. If the water from the big cylinder is poured into four small containers, how much water is left in the large container?
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190321
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Machine A can produce 1000 pieces/hour, and machine B can produce 750 pieces/hour. If two machines work together to produce 12,000 items in eight hours, what is the shortest time does machine A have to work?
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190321
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Circle O is internally tangent to a square ABCD. The radius of circle O is 2m. What is the area of the shaded part of the graph?
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190321 还原机经选题: 文字题&几何
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A,B,C,D and E are in a line. If A stands in the front and B is the second one, how many ways can they be arranged?
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190321
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There are five numbers in the sequence, and the average is 12. What is the smallest of these 5 numbers?
1: The average of the four largest numbers is 15.
2: The average of the four smallest terms is 10.
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190321
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In the rectangular coordinate system, there is a line with a slope of 4. This line goes through the points (1,c), (d,2). Which of the following relations does c and d satisfy?
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190321
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n is a positive integer.$$10 \leq n \leq 48$$. The tens digit of n is twice the unit digit. n =?
1: n is odd.
2: n is a multiple of 7.
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190321
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The area of a square is 36. What is the perimeter of this square?
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190321
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x=3/2,y=1/2,$$\frac{x^4y^2-x^2y^4}{x^2+y^2}$$ = ?
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