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191031
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In the sequence an, if $$a_n=a_{n-1}+…+a_{1}$$ for all positive integers n≥2, and $$a_n=P$$, what is the value of $$ a_{n+2}$$ in terms of p?
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191031
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If $$ a_1$$=2，$$a_2$$=3，$$a_3$$=5，and each of the items after $$a_3$$ is the twice of the previous item, what's the value of $$\frac{a_{24}}{a_{20}}$$?
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191031
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A meeting lasts 7 days at a time. It starts at Friday, and it will not be held on weekends. There are 18 meetings in total. What day is the end of the 18th meeting?
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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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191031
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Three machines A, B, and C produce a total of 650 products, B produces 50% more than A, and C produces 50% less than B. How many products does A produce?
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191031
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A person starts at 9:00 in the morning, and walks a total of 300km at 12:00 and then continues walking after a 45-minute break. At the end of the journey，it is 18:45 in the afternoon, the speed is 80 km/h in the afternoon. What is the average speed of the whole trip (not counting the noon break)?
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191031
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A and B are integers, 9 < A <31, 19 < B <41, a sequence is all possible values of A/B, what' s the range of A/B?
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191031
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F, G and H are the midpoint of AB, AC, and BC. AB = 26, AC = 26, BC = 20, DE = 10, What's the area of shaded part?
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191031
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10n/7 = q+k/7, k and n are both positive integers less than 7, and q is an integer, What's
the maximum value of q?
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191031
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What is the units digit of 3^66?
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191031
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$$\frac { m } { n } < \frac { n } { m }$$ ?
(1)m>n
(2)mn>0
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191031
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Three positive integers x y z, satisfying 5 < x < y < z < 11, what is the value of z?
(1)x = 7，y = 8
(2)x, y are odds
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191031
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Two sqaures both are 10x10. Is the shaded area 25?
(1)P is on the diagonal line of ABCD
(2)CD and PQ is perpendicular
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191031
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There are five numbers: 1 2 4 x 6, what is the value of x?
(1)there is only one mode in this group and it is equal to median
(2)the mean is an integer
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191031
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There are 5 numbers，and the mean is known，mean-min=6，max-mean=7，waht is the range？
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191031
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After a point moves around the circle for 300 meters, it returns to the original starting point. So which of the following could be the radius of the circle?
I. 150/π
II. 60/π
III. 15/π
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191222 730高分节-数学测试
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A four-digit integer is formed by the numbers of 2, 3, 5, and 7. If four digits are all different, what is the probability that the four-digit integer greater than 5237?
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191222
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In a store, there are 3 types of bags, namely B, S, and Z. The number of B-type bags is 33; the number of S-type bags is 24, and the number of Z-type bags is 29, other information has been given in the table below. What's the total number of these bags?
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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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191222
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The sum of the squares of the first n positive integers is a multiple of 4, what is n likely to be?
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