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181215
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A rope with uniform thickness of 10cm weighs 500g. How many kilograms does the rope with length of 2m weigh?
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181215
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The budget for someone's meal is $6 plus 5% tax. In fact, he only spent $5.67. How many percents is the actual cost less than the budget?
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190124
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A takes 4 hours to complete a task alone. It takes 3 hours for A and B to finish the task at the same time. How many hours does it take for B to finish the task alone?
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190113 还原机经选题: 数论&代数
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1, 11, 111, 1111, 11111, …
What are the tens of the sum of the first 40 items in this series?
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190113
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What is the units digit of the sum of $$5^{5}$$+ $$6^{5}$$+ $$7^{5}$$+ $$8^{5}$$=?
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190113
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$$(\frac{3\sqrt{32}-4\sqrt{2}}{\sqrt{8}})^{2}$$=?
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190113
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If x, and y are positive even integers, what is the lower limit of the maximum factor of 2$$x^{2}$$+4$$y^{2}$$?
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190207
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How many zeros are there at the end of (3! + 4!)!
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190321
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p=10k+1. k is a positive integer. What's the unit digit of $$(p^2)^100$$?
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190207
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Two machines of the same model work together and can complete a certain task in k hours. If three machines of this model work together, k -2 hours can complete the same task. k =?
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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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190310
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In the rectangular coordinate system, the length of AB equals to that of AC. A(0,0), B(1,3). If the coordinates of point C are all integers, then C has 8 possible positions. How many different values does BC have?
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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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190124
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x+2y+3z=7, x+3y+5z=12. x+y+z=？
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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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190302 还原机经选题: 数论&代数
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What is the unit digit number of $$5^{5}$$+$$6^{5}$$+$$7^{5}$$+$$8^{5}$$?
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191031
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There are 10 cards numbered 1-10, respectively. 5 different cards are selected randomly from these 10 cards. What is the greatest value of difference between median and mean?
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191031
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It takes Tom 15 mins to travel 2 miles from A to B, and 25 mins to return from B to A. If Tom travels the same route for this round trip with no stop, what is the average speed, in miles per hour, of Tom?
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191031
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How many of these x that make the median and average of x, 1, 2, 3, 4 equal?
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还原机经选题: 数论&代数 191222
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The “ultimate number” can be calculated in this way: add up the values of each digit until there is only one digit left. For example, 9901, 9+9+0+1= 19, 1+9= 10, 1+0=1, 1 is the “ultimate number” of 9901. How many two-digit numbers are there that have the same ultimate number as 50645?
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