181215
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Someone practices calligraphy. It takes him three hours to write the first page and one hour to write each page starting from the second page. His average time of writing a page is 1.25h. How many pages does he practice?
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181215
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f(x)=-2$$(x-5)^{2}$$+3. What is the maximum value of f(x)?
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181215
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The temperature of the small hemispherical container was very high. Thus, it was put into the larger hemispherical container which was filled with water to accelerate the cooling of it. What was the volume of water left in the large container?
1: The diameter of the large hemisphere is twice that of the small one.
2: The volume of large hemisphere is 8 times that of the small hemisphere.
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181215
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The lengths of the three sides of isosceles triangle are t-6, t-4, and 2t-20. Which of the following may be the perimeter of the triangle?
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181215 KMFPS
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A positive integer has a remainder of 5 when divided by 10 and a remainder of 3 when divided by 8. What is the general formula for this number?
(Note: k is a natural number.)
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181215
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S = {1,2,3,4,5}, A,B are subsets of S, Ac, Bc represent the sets belonging to S but not belonging to A,B respectively. Ac∩B=?
1: A∩B={2}
2: A∩Bc={4}
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181215
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There is an even chain hanging on a pulley. The chain is 5 meters long and weighs 4 kilograms. The chain lengths on the left and right sides of the pulley are a and b respectively. b=?
1: a = 1 m
2: r = 0.3 m
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181215
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-1 < x < 0. Please arrange $$x^{-1}$$,$$x^{-2}$$,x,1 from small to large
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181215
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x is a positive integer. Is $$x^{2}$$+3x+45 divisible by 9?
1: is divisible by 3.
2: is divisible by 225.
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181215
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The circumference of a round table is 176. Someone is going to cover it completely with a square tablecloth, and all the extra parts around are longer than 10. What is the minimum side length of the tablecloth?
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181215
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The total weight of seven boxes of different weights is known. What is the median weight of these seven boxes?
1: The average weight of the four lightest cases is given.
2: The total weight of the four heaviest boxes is known.
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181215
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x,y are positive integers and x*$$y^{3}$$ is an even number. Which of the following must be even?
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181215
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The standard deviation of 33,34,35,36 is y. What is the standard deviation of 433,434,435,436?
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181215
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Triangle ABC is an equilateral triangle. The radii of circles A, B, and C are all 10. What is the perimeter of the figure composed of solid lines?
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181215
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There were 80 walnuts and 40 peanuts in the box. After putting some walnuts into the box, walnuts accounted for 75% of all nuts. How many walnuts were put into the box?
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181215
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In trapezoid ABCD, AB//CD, AB=6, BC=6,∠C=60°,∠D=45°. CD=?
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181215
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Three boys and three girls eat around a round table, with Bob sitting in a fixed position. If boys and girls need to be separated, how many possibilities are there?
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181215
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Which of the following options has the same standard deviation as a,b,c?
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181215
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In parallelogram ABCD, AB=AD. AC=?
1:BD=2
2:AB=2
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181215
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$$\frac{\frac{1}{\sqrt{2}}}{\sqrt{\frac{3}{2}}}$$=?
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