190113 还原机经选题: 文字题&几何
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What is the total length of the 10 vertical lines?
(1) a = 2
(2) b = 3
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190113 还原机经选题: 文字题&几何
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There are three programs in one ceremony: violin performance, piano performance, and trumpet performance. In each performance, two students will respectively perform on the same instrument in order. A and B can only play the violin, C and D can only play the piano, and E and F can only play the trumpet. How many different appearance orders?
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190113 还原机经选题: 文字题&几何
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The distance between a planet and the earth is 4*$$10^{13}$$ km, and the distance between the earth and the moon is 2.5*$$10^{5}$$ km. On a map, the distance between the earth and the moon is 1 cm. What is the distance, in kilometer, between the planet and the earth on the map?
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190113 还原机经选题: 文字题&几何
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The coordinates of the center of a circle are (10, 6). The radius of the circle is 7. Is point (a, b) in the circle?
(1)5 < a < 13
(2)1 < b < 10
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190113 还原机经选题: 文字题&几何
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Each number in a sequence comes from {10,20,30}. What's the average of this sequence?
(1) 60% of the numbers in this sequence is no more than 20
(2) 80% of the numbers in the sequence is no less than 20
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190113
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45 sweets were evenly distributed to a group of children, and the number of sweets left was 3 less than that of children. The number of the children can not be?
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190113
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Tom, Mary and Bob take the balls randomly in two boxes with no replacement. There are 3 red and 10 white balls in the box A. There are 2 red and 8 white balls in box B. Each of Tom, and Mary takes one ball from one of the boxes before Bob, and do not put balls back. What information is helpful for Bob to determine which box has a high probability of getting red?
(1)Tom takes a red ball in box A, and Mary takes a ball.
(2) Mary takes a red ball in box B, and Tom takes a ball.
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190113
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$$\frac{-(3+x^{2})}{x(4x-5)-(3-2x)^{2}}$$ is equivalent to which of the following options?
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190113
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The school offers three different kinds of scholarships, $95000/person, $35000/person and $10000/person. The school awards a total of $940000 in scholarships. What is the minimum number of scholarship recipients?
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190113
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There are two poles on the same ground, and the heights of two poles are 10 and 12. The distance between their bottom is 6. What is the distance between the apexes of two poles?
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190113 还原机经选题: 文字题&几何
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A paper mill has three machines a, b, and c. It takes 90 minutes for a, 45 minutes for b, and 30 minutes for c to produce 1800 sheets of paper alone. How many minutes does it take to produce 1800 sheets of paper if a, b and c work together?
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190113 还原机经选题: 文字题&几何
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A is 1% saline solution and B is 3% saline solution. How much B solution needs to be mixed with 200g A solution to get 2.5% saline solution?
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190113 还原机经选题: 文字题&几何
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According to the picture, in quadrilateral ABCD, AB//CD,AB=BC=6,∠B=60°,∠D=45°. CD=?
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190113
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According to the picture, the length, width, and height of a cuboid ABCDEFGH are a, b, and c, respectively. The cuboid is grounded with the surfaces as shown in figure (1) (2) and is filled with equal volume of water with height of x and y respectively. y/b=?
(1)7x=10c
(2)x=9
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190113
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The total length of road is 1000 km. When someone drives, the average speed of the first 400 km is 200 km/h, and the average speed of the last 600 km is 150 km/h. What is the average driving speed of this whole trip?
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190113 还原机经选题: 文字题&几何
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According to the picture, the bottom radius of the conical funnel is R and the height is 16. A person pours water into this funnel, and the conical bottom radius of water is r. r/R = 3/4. What is the height of the cone formed by water?
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190113
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There are 16 seats in the first row of a classroom, and each subsequent row has 2 more seats than its previous row. The number of seats in the last row is 64. How many seats are there in this classroom?
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190113
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The equations of two lines are $$y_1$$=$$m_1$$x+$$b_1$$, $$y_2$$=$$m_2$$x+$$b_2$$. $$m_1$$, $$m_2$$, $$b_1$$, and $$b_2$$ are constants. $$m_1$$$$m_2$$$$b_1$$$$b_2$$=?
(1) The x-intercepts of two lines are -2 and 4.
(2) The y-intercepts of two lines are 6 and 4.
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190113 还原机经选题: 文字题&几何
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According to the picture, ABCD is a square. △ADF and △DCE are equilateral triangles. ∠AGF=?
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190113 还原机经选题: 文字题&几何
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The area of six faces of box A is x; the area of six faces of box B is 2x, 4x, 8x, 2x, 4x, 8x. The volume of A is 16. What's the volume of B?
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