1. Fill in the spaces of 1 / 2, 1 / 3, 1 / 4, 1 / 5, 1 / 6, 3 / 10, 1 / 12 and 1 / 20 in the figure. It is required that the sum of the four numbers in the square composed of every four squares in the figure (there are five squares in total) is equal to 1 □—□—□ │ │ │ □—□—□ │ │ │ □—□—□ 2. I forgot to close the window of the office. When it was windy in the evening, I scattered a total of 23 documents with 46 sides. In the morning, we all worked together and only recovered the 5th, 11th, 13th, 31st, 32nd and 44th sides. How many sides were not found 3. The distance between a and B is 50 kilometers. A and B start from a and B by bike respectively and walk in opposite directions. A travels 14 kilometers per hour and meets B after walking for 2 hours. After meeting, they continue to advance, but accelerate and decelerate by 20% and B accelerates by 20%. Who will reach the destination first? 4. For a two digit number, the new two digit number is 4 / 7 of the original number after the number of its ten digit number is exchanged with the number of its one digit number? 5. There is a piece of copper zinc alloy, in which the mass ratio of copper to zinc is 2:3. Now add 6 g of zinc to get 36 g of new alloy, and find out the weight ratio of copper to zinc in the new alloy 6. When the store sells pants and shirts, it costs 9 yuan for each piece. The pants will lose 10% and the shirts will earn 10%. When the store sells one pair of pants and shirts, will the store lose or earn? If so, what is the loss? If so, how much is the profit? 1. Fill in the spaces of 1 / 2, 1 / 3, 1 / 4, 1 / 5, 1 / 6, 3 / 10, 1 / 12 and 1 / 20 in the figure. It is required that the sum of the four numbers in the square composed of every four squares in the figure (there are five squares in total) is equal to 1 □—7/60—□ │ │ │ □—□—□ │ │ │ □—□—□

1. Fill in the spaces of 1 / 2, 1 / 3, 1 / 4, 1 / 5, 1 / 6, 3 / 10, 1 / 12 and 1 / 20 in the figure. It is required that the sum of the four numbers in the square composed of every four squares in the figure (there are five squares in total) is equal to 1 □—□—□ │ │ │ □—□—□ │ │ │ □—□—□ 2. I forgot to close the window of the office. When it was windy in the evening, I scattered a total of 23 documents with 46 sides. In the morning, we all worked together and only recovered the 5th, 11th, 13th, 31st, 32nd and 44th sides. How many sides were not found 3. The distance between a and B is 50 kilometers. A and B start from a and B by bike respectively and walk in opposite directions. A travels 14 kilometers per hour and meets B after walking for 2 hours. After meeting, they continue to advance, but accelerate and decelerate by 20% and B accelerates by 20%. Who will reach the destination first? 4. For a two digit number, the new two digit number is 4 / 7 of the original number after the number of its ten digit number is exchanged with the number of its one digit number? 5. There is a piece of copper zinc alloy, in which the mass ratio of copper to zinc is 2:3. Now add 6 g of zinc to get 36 g of new alloy, and find out the weight ratio of copper to zinc in the new alloy 6. When the store sells pants and shirts, it costs 9 yuan for each piece. The pants will lose 10% and the shirts will earn 10%. When the store sells one pair of pants and shirts, will the store lose or earn? If so, what is the loss? If so, how much is the profit? 1. Fill in the spaces of 1 / 2, 1 / 3, 1 / 4, 1 / 5, 1 / 6, 3 / 10, 1 / 12 and 1 / 20 in the figure. It is required that the sum of the four numbers in the square composed of every four squares in the figure (there are five squares in total) is equal to 1 □—7/60—□ │ │ │ □—□—□ │ │ │ □—□—□


1. If you change all the scores into numbers with the base of 120, that is, general score, you will find that there are three numbers whose numerator is not an integral multiple of 10, and the three numbers should be in one line, so the result is: 3 / 10-1 / 5-1 / 20 | | - 1 / 2-1 / 4 | - 1 /



Who knows why
I borrowed 500 from my father, borrowed 500 from my mother, bought a pair of shoes, used 970, left 30 yuan, returned 10 yuan to my father, returned 10 yuan to my mother, left 10 yuan to myself, owed 490 yuan to my father, owed 490490 + 490 = 980 yuan to my mother, plus my own 10 yuan = 990 yuan. Where are the other 10 yuan?


In fact: one income: (borrow father) 500 + (borrow mother) 500 = 1000 expenditure: (buy shoes) 970 + (return father) 10 + (return mother) 10 + (own) 10 = 1000 income expenditure = 1000-1000 = 0



Small intelligence questions:
Congcong has two sticks, which are 8 cm and 13 cm in length. He wants to choose a whole centimeter long stick and put it in a triangle. How long is the longest stick congcongcong wants to choose? What is the shortest one?


20 6



Arrange the continuous natural numbers 1 ~ 2008 into a square matrix according to the figure below, and select 9 numbers
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31 32 33 34 35
…………… ..
1. What's the sum of the nine numbers in the figure above? (Note: since you can't frame all the tables, please find your own rules. These nine numbers are 9, 10, 11, 16, 17, 18, 23, 24, 25, please find your own rules in the figure above.)
2. If the sum of 9 numbers is 900, then the smallest number is () and the largest number is ()
3. Could the sum of the nine numbers in the box be 199? Why?


1. 9 + 10 + 11 + 16 + 17 + 18 + 23 + 24 + 25 = 17 * 9 = 153 (25 + 9 = 34 = 2 * 17..)
That is to say, sum is 9 times of the middle number, that is to say, sum must be divisible by 9
2. 900 / 9 = 100, the smallest is 100-1-7 = 92, the largest is 100 + 1 + 7 = 108
3. Impossible, because 199 is not divisible by 9



The simple operation of 11111 * 33333 + 33333 * 77777,


Original formula = 11111 * (11111 * 3) + (11111 * 3) * (11111 * 7)
=(11111^2)*3+(11111^2)*21
=(11111^2)*24
=(11111^2)*(20+4)
=123 454 321*20+123 454 321*4
=2 469 086 420+ 493 817 284
=2962903704



(112233-112.233)÷(224466-224.466)=______ .


(112233-112.233) / (224466-224.466) = (112233-112.233) / [(112233-112.233) × 2] = (112233-112.233) / (112233-112.233) / - 2 = 1 / 2 = 0.5, so the answer is: 0.5



(112233-112.233)÷(224466-224.466)=______ .


(112233-112.233) / (224466-224.466) = (112233-112.233) / [(112233-112.233) × 2] = (112233-112.233) / (112233-112.233) / - 2 = 1 / 2 = 0.5, so the answer is: 0.5



(112233-112.233)÷(224466-224.466)=______ .


(112233-112.233) / (224466-224.466) = (112233-112.233) / [(112233-112.233) × 2] = (112233-112.233) / (112233-112.233) / - 2 = 1 / 2 = 0.5, so the answer is: 0.5



How to calculate (112233-112.333) divided by (224466-224.666)


(112233-112.333)÷(224466-224.666)
=[(112233-112.333)÷112233]÷[(224466-224.666)÷112233]
=(112233÷112233-112.333÷112233)÷(224466÷112233-224.666÷112233)
=(1-0.001)÷(2-0.002)
=0.999÷1.998
=0.5



1/11111*11111


1/123454321