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190321
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There are nine square plates in the cupboard. Each plate has front and back sides. The sides of the plates are 3,1,1,1,4,1,1,1,3. What is the total area of the plates?
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190321
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How much water should be added into the 20m^3 alcohol solution whose concentration is 80% to get the alcohol solution whose concentration is 50%?
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190321
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$$\frac{0.02^3}{0.002^2}$$=?
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190321
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The product of all integers from 1 to n, inclusive, is a multiple of $$10^6$$. What is the minimum value of n?
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190321
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The diameters of the three concentric circles are 4,8,10, respectively. What is the proportion of the shaded area in the figure to the total area?
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190321
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There are four numbers in a set S. The median and the average are both 6. What is the range of these numbers?
1: The smallest number is 3.
2: The largest number is 6 larger than the smallest one.
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190415
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A pyramid consists of six edges of equal length. The length of each side is 8. What is the total surface area of the pyramid?
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190321
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The circumference of a circle is $$36 \pi$$. What's the radius of the circle?
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190415
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A circle has the same area as a square. What is the ratio of the diagonal of the square to the diameter of the circle?
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190415
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What's the hundreds digit of 12.3789*9999?
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190321
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What's the remainder of $$10^{98}-1$$ when divided by 11?
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190310
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r,s are positive numbers. Is r < s?
1:r+s<1
2:$$r^2=2s$$
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190310
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$$\frac{4- \sqrt{28}}{\sqrt{9+7}}$$ = ?
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190310
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学校向优秀学生发放奖学金。一等奖得主每人奖励$125。二等奖得主每人奖励$40。三等奖得主每人奖励$15。学校共发了$1780。请问至少有多少人能拿到奖学金？
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190310
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An empty pool will be poured with water at the speed of 50L/min. The volume of the pool is 120m^3. How long will it take to fill the pool?
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190310
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The cost of each table is $50. The cost of each chair is $5. The profit of the table is 30% of the cost. The profit of the chair is 50% of the cost. A furniture store sold five times as many chairs as tables. The total profit on tables and chairs was $550. What's the total price of the tables and chairs sold?
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190310
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∠ABM=45°, EF//MN. Quadrilateral ABCD is rectangular. AB=?
1:AE=8
2:BF=25
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190310
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a,b,c are non-zero one-digit number. abc is a three-digit integer with hundreds digit as a, tens digit as b, and unit digit as c. bac is a three-digit integer with hundreds digit as b, tens digit as a, and unit digit as c. abc+bac= 998. How many possibilities are there for the value of a,b,c?
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190310
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$$(x^2+2x+1)(x^2-2x+1)=x^4+1$$.x=?
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190310
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The bottom surface of the inverted conical vessel is parallel to the horizontal plane. The height of the cone is twice of the radius of the bottom. The container is partially filled with water. There is a small hole at the tip of the conical container. The speed of water leakage is 2cm^3/min. How long does it take for the water in the container to run out?
1: The water surface area is 9 π cm2
2: The distance between the water surface and the bottom of the container is 4 cm
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