2. Write from "1" to "701":1234567891112 ...
3. Storybook only uses 1392 type (number) for page numbering. How many pages are there in this book?
4. How many digits are there in the even sequence of 2, 4, 6, …, 396, 398?
5. The number of typesetting pages of a book * * * uses 942 numbers (types). How many pages are there in this book?
6. Squares of natural numbers are arranged in a line from small to large: 149 16253649. .................................................................................................................................
7. Let the decimal a = 0123456789101... 998999. What is the number on the right side of the decimal point 1998?
8. A book is ***399 pages with page numbers: 1, 2, 3, 4...398, 399. How many * * numbers are there in the page number?
9. Let the decimal b = 024681012 ...19982000, then what is the 2000th digit to the right of the decimal point?
10. A book was torn in the middle, and the sum of the remaining pages was exactly 1 145. So, what's the page number of the torn one?
1 1. Distribute some sweets to the children in the kindergarten class. If each child is divided into three parts, it will be more17; Each person is divided into 5 capsules, lacking 13 capsules. How many children are there? How many sweets are there?
12. Give some monkeys a basket of peaches. Each monkey was given five peaches, and the last one was16; Each monkey is divided into seven parts, 12 peaches are not enough. How many little monkeys are there? How many peaches are there?
13. The school recently bought a batch of electric fans and distributed them to junior high school classes. If two classes are equipped with 4 sets per class, the rest can only be equipped with 2 sets per class; If a class is divided into 6 sets, the rest of each class is divided into 4 sets, which is still short of 12 sets. * * * How many electric fans did you buy? How many classes are there?
14. Students go boating in the park, and each boat will take four people, so there will be three fewer boats; There are six people in each boat, and two people can't sit on it. How many students are there? How many ships are there?
15. The factory built a new dormitory, with 4 people in each room and 34 people without beds, and 6 people in each room, with 5 more rooms. * * * How many workers should arrange accommodation?
16. Watermelons are packed in baskets. If each basket contains 5 watermelons, there will be less 15 watermelons. If there are three watermelons in each basket, there are 29 more watermelons. How many baskets are there? How many watermelons?
17. Mom gave Amin a photo album. Amin put all his photos in the photo album. If three sheets of paper are loaded on each page, the last two pages are empty. If five sheets of paper are loaded on each page, the last page will be empty. Amin has several photos. How many pages are there in the album?
18. The school stipulates to arrive at school at 7 am. Huang Qing can get to school at a speed of 60m/min, which can be two minutes earlier. If he walks at a speed of 50 meters per minute, he will be two minutes late. When should Huang Qing go to school?
19. If a student walks for 2 minutes at a speed of 50 meters/minute, he will be 8 minutes late; Later, he changed it to 60 meters per minute, and as a result, he arrived five minutes early. How far is it from home to school?
20. Two porters can't move 10 cases of beer in one trip. Two people each move a trip, * * * move □7 boxes. The beer transported by Party A weighs □□□ kg, and the beer transported by Party B weighs □□ kg. How many kilograms does each case weigh?
2 1. A number divided by 4 is greater than 3, divided by 5 is less than 2, and divided by 7 is less than 4. What is the smallest number?
22. What is the smallest number divided by 5 and greater than 2, divided by 6 and less than 2, and divided by 7 and less than 3?
23. On average, 5 boxes are packed 150 to 200 pieces, more than 1, more than 4 pieces in 6 boxes and more than 5 pieces in 7 boxes. How many parts are there in this batch?
24. There are less than 60 apples in a basket, and they are distributed to 5 children on average, which is more1; Give an average of six children and three more. If you give it to seven people on average, there will be two more in the end. A * * * How many?
25. There is a pile of balls, count to three, and finally there are two left; Five numbers of five, and finally there are three left; Seven numbers of seven, and finally there are two left. How many balls are there?
26. What is the smallest number that a number is divisible by 5+2, 6+3 and 7+4?
27. A string of colored lights, seven numbers of seven, and finally 1 more; Count to nine, the last night; Five numbers of five are just enough. How many colored lights are there at least on this rope?
28. What is the smallest number when a certain number is divided by more than 7, divided by 10 less than 2 and divided by 1 1 less than 3?
29. Odd numbers are divided by 288 and 2 14 respectively, and the remainder is 29. What's this number?
30. Divide an integer by 300, 262 and 205 respectively to get the same remainder. What should this number be?
3 1. Party A and Party B set out in opposite directions at the same time, and meet in the middle 8 kilometers after 4 hours. Party A's speed is 8 kilometers per hour. How about Party B's Internet speed?
32. Party A and Party B are practicing race walking around the circular pool. The circumference of the swimming pool is 7200 meters. Party A and Party B set out at the speed of180m and120m per minute. After a few minutes, the profit is satisfied.
33. The profit cycling starts from the same place and follows a 900-kilometer circular road. If you drive in the opposite direction, you will meet each other in 2 minutes. If you drive in the same direction, after 18 minutes, the fast one will catch up with the slow one and seek the speed of the slow one.
34. Two planes, A and B, took off from an airport and flew in the same direction. The speeds of A and B are 300km and 340km respectively. After flying for four hours, A should speed up and catch up with B after two hours. What's the speed of A?
35. My brother and sister leave home for school at the same time. The speed of brother and sister is 90 meters and 60 meters per minute. When my brother arrived at the school gate, he found that he had forgotten to bring his Chinese book. He immediately went back the same way and met his sister at a distance of 0/80 meters from the school/kloc-. How far is their home from school?
36. Party A and Party B practice running. If Party A lets Party B run10m first, Party A will catch up with Party B for 5 seconds. If Party A lets Party B run for 2 seconds, Party A will catch up with Party B for 4 seconds. What is the speed of Party A?
37.a and B run on a 400-meter-long circular track. When A runs from the starting point at a speed of 300 meters per minute 1 minute, B runs in the same direction from the starting point. From then on, A caught up with B in 5 minutes. How many meters does B run per minute?
38. Both Party A and Party B walk along the 400-meter circular runway at the same time from point A, with Party A walking 80 meters per minute and Party B walking 50 meters per minute. How many minutes will it take them to meet at point A at least?
39. The dog chased the fox. The dog jumps forward 18m, and the fox jumps forward11m. The dog jumps twice and the fox only jumps three times. If the dog is 30 meters away from the fox at first, how many meters can the dog jump to catch up with the fox?
40. Party A and Party B are walking by a circular pond with a circumference of120m. Party A walks 8 meters per minute and Party B walks 7 meters per minute. Now, they start from the same place at the same time, face to face. How long will it take to meet for the second time?
4 1. There are some chickens and rabbits in a big cage. Counting their heads, there are 36 * * *; Count their legs, *** 100. How many chickens and rabbits are there?
42. Miss Wang bought 20 stamps with 40 yuan money, all of which were 1 yuan and 5 yuan. Ask how many stamps you bought and how many stamps you bought.
43. Mother rabbit goes up the mountain to pick mushrooms. She can pick 30 mushrooms every day in sunny days and 12 mushrooms every day in rainy days. From April 10 to April 29th, we picked 5 10 mushrooms a day without rest. So, how many days are it sunny? How many days is it rainy?
44. Teacher Xiao takes 5 1 students to go boating in the park. They rented 44 boats, including big boats and small boats. Each big boat takes six people and the small boat takes four people. Every bar is crowded with people. How many big boats and small boats did they rent?
45. A car takes part in a car race, with a journey of 5,000 kilometers in 9 days. It is known that it travels 688 kilometers a day in sunny days and 390 kilometers a day in rainy days. How many sunny days are there during the competition? There were a few rainy days.
46. There are 60 plastic buckets of different sizes. Each big barrel contains 5 kilograms of water, and each small barrel can only hold 2 kilograms of water. I also know that the big barrel contains 26 kilograms more than the small barrel. How many big barrels and how many small barrels are there?
47. Two kinds of fruit candy with unit price of 6 yuan/kg were used, and the mixed sugar with unit price of 6 yuan/kg was made into 15 kg. Some of the original price 1 1 yuan/kg of sugar took a few kilograms?
48. One hundred monks eat one hundred steamed buns, one big monk eats three, and three little monks eat one. How many big monks are there? How many young monks are there?
49. Teacher Sun led 99 students to plant 65,438+000 trees. After he planted a demonstration tree, he arranged for a boy student to plant two trees, one for each girl. How many boys are planting trees? How many girls are there?
50. There are *** 1 10 people in Workshop A and Workshop B of a chemical plant. Now workshop A is required to choose one representative for every eight people and workshop B for every six people. Two workshops and one workshop elected 16 delegates. How many workers are there in Workshop A and Workshop B?
5 1. The father is 32 years old and the son is 5 years old. In a few years, my father will be four times as old as my son.
52. Huang Kun 12 years old, Teacher Ding is 38 years old. No matter how many teenagers, Huang Kun's age is 3/5 that of Teacher Ding.
53. Xing Xing is five years old and her mother is 32 years old. What is the age ratio between young stars and mothers?
54. Both parties are 63 years old. When A is half of B's present age, B's then age is exactly A's present age. So, how old is A?
55. The father is 28 years older than his son, the mother is 23 years older than his son, and the combined age of father and mother is 73 years old. How old is the son?
56. The sum of the profit-making ages of both parties is 45 years old. When Party A is 3/5 of Party B's current age, Party B's age at that time happens to be Party A's current age. Then, how old is Party B than Party A?
57. This year, the sum of the ages of Mr. Sun and President Zeng is exactly 65,438+000 years old. When Mr. Sun was seven-quarters of President Zeng's present age, President Zeng was just as old as Mr. Sun. How old is Mr. Sun than President Zeng?
58. Uncle Wang is exactly 4/7 of Mr. Jin's age this year. 12 years later, Wang Shu's age is exactly 2/3 of Teacher Jin's. How old is Teacher Jin this year?
59. Wang is 46 years old and Xiaojie is 7 years old. A few years later, Uncle Wang was just four times as old as Xiaojie.
60. Both father and son are 60 years old this year. It is known that four years ago, the father was just three times as old as his son. How old is my son this year?
6 1. If the sum of two numbers is 36 and the difference is 22, which number is larger?
62.a, B and C are three numbers. A plus B equals 252, B plus C equals 197, and C plus A equals 149. What is C?
63. It costs 10 yuan to buy a mechanical pencil and a pen. It is known that pencils are cheaper than pens, 6 yuan, so how much does it cost to buy pencils?
64. Zhang Juan and Chen Fang cleaned 3 1 piece of glass. Knowing that Zhang Juan cleaned 9 pieces less than Chen Fang, how many pieces did Chen Fang clean?
65. A two-digit number is a prime number (1 and it is not divisible by other numbers. Such numbers are called prime numbers). It consists of two numbers, the sum of which is 8, and the difference between them is 2. What's this number?
66. The average value of a factory last year and this year was 920,000 yuan, 654.38 million yuan more than last year. What is the output value this year?
67. Three pieces of cloth are 220 meters long, the second one is three times as long as the first one, and the third one is twice as long as the second one. How long is the first paragraph?
68. There are 30 kilograms of apples in basket A and several kilograms of oranges in basket B. If you take out 12 kilograms of oranges from basket B, there are more apples than oranges 10 kilograms. How many kilograms of oranges are there in basket B?
69. There are two ships, A and B, with 623 passengers. If there are 34 passengers in Ship A and 57 passengers in Ship B, the number of passengers in both ships is the same. How many passengers are there in ship A?
70. Zhang Qiang bought a coat, a hat and a pair of shoes with 270 yuan. Coat is more expensive than shoes 140 yuan, coat and shoes are more expensive than hats 2 10 yuan. How much did Zhang Qiang spend on this pair of shoes?
7 1. the average score of Chinese, English and nature in the mid-term exam is 83. After his math scores were announced, his average score increased by 2 points. How many points did he get in the math exam?
72. The average of A, B and C is 87; The average of a, c and d is 85. Suppose d is 84, then what is b?
73. On average, 24 students share a pile of books. Later, another student was added, and everyone redistributed books. On average, there are 2 fewer copies per person than before. How many books are there in this batch?
74. Eight figures line up, and their average is 54. The average of the first five numbers is 46, the average of the last four numbers is 68, and what is the fifth number?
There are five figures, and their average is 73. The average value becomes 8 1. What's the changed number?
76. Marble has three colors: red, yellow and blue. It is known that there are 7 marbles in red and yellow, 8 marbles in yellow and blue, and 9 marbles in red and blue. Can you figure out how many red ones there are? How many yellow ones are there? How many blue ones are there?
77. Party A, Party B and Party C participated in the Junior Cup knowledge contest. Party A scored 195, Party B scored 98 on average, and Party A scored 19 1. What is the average score of three people?
78. There are seven natural numbers, and the average is 15. Remove one of them, and the six-digit beer belly is 16. Remove one of them, and the average of the remaining five numbers is 17. What is the product of two numbers minus?
79. Xiaohua listed more than ten continuous natural numbers of 1, 2, 3 and 4 ... * * * on the manuscript paper. Because she erased one of them, the average of the remaining numbers is 82. How much did she erase?
80. There are three numbers, A, b9 and c26, with an average of 170. What are a, b and c?
8 1. What is the largest five-digit number that can be divisible by 2, 5 and 7 at the same time?
82. The following 19983 number 33 … 3 (9913) □ 44 … 4 (9914) is missing a number (box). It is known that this multi-digit number is divisible by 7, so what is the number in the middle box?
83. There is such a two-digit number, and its sum of two digits can be divisible by 4. If its sum of two digits is larger than this two-digit number, 1 can also be composed of 4, then what is the sum of such two digits?
84. What is a natural number less than 200, in which each number is odd and the product of two digits?
85. If you take a four-digit number and multiply it by 3456, use A to represent the sum of single digits of its product, use B to represent the sum of single digits of A, and use C to represent that B is the sum of single digits, then what is C?
86. There are five numbers: 0, 1, 4, 7, 9. Choose four numbers from them to form different four digits. If the four digits divisible by 3 are arranged from small to large, what is the last digit of the fifth number?
87. If six digits 1992□□ can be divisible by 105, what are its last two digits?
88. 199 1 Students numbered from left to right line up and count off from 1 to1from left to right. The students who start counting from 1 1 stay where they are, and the rest of the students step out, and then the rest of the students count again. On the count of three.
89. 173 □ is a four-digit number. The teacher added three numbers to this □, and the three four-digit numbers obtained can be divisible by 9, 1 1, 6 in turn. What is the sum of the three figures added by the teacher?
90. Add the three numbers after 1992 to form a seven-digit number, which can be divisible by 2, 3, 5, 1 1. What is the minimum value of this seven-digit number?
9 1.2, 4, 6, 8 ... are continuous even numbers. If the sum of five consecutive even numbers is 320, what is the smallest of these five numbers?
92. Put the parts in two kinds of boxes, each big box contains 12 parts, and each small box contains 5 parts, which is just right for packing. If a * * * has 99 parts and the number of boxes is greater than 10, how many are there in each of these two boxes?
93. The difference between adjacent odd numbers is 2. If the first odd number is a, the other six numbers are a+2, a+4, a+6, a+8, a+ 10, a+ 12 at a time. The sum of seven numbers is 147, so what are these seven numbers?
94.A, B and C are all prime numbers, C is a number, A× B+C = 1993, then A+B+C =?
95. The product of three prime numbers is exactly seven times their sum. What are these three prime numbers?
96. If the difference between two digits is 30, which of the following statements may be correct?
The sum of these two numbers is 57.
The sum of the four digits of these two numbers is 19.
The sum of the four digits of these two numbers is 14.
97. A book has * * 186 pages. How many times does the number 1, 3,5,7,9 appear in the page number?
98. One page in the middle of a book has been torn off, and the sum of the remaining page numbers is 1 133. How many pages are there in this book? Which page? Which page has been torn off?
99. There are 60 apples in the basket. Take it all out and divide it into even piles so that the number of each pile is the same. How many ways are there?
100. 35 pencils were prepared as prizes for students who won the first prize, the second prize and the third prize in a competition. Originally, the first, second and third prizes were given to 6, 3 and 2 pencils respectively, and later the first, second and third prizes were given to 13, 4 and 1 pencil respectively. So how many people won the second prize?