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The first volume of the sixth grade of the People's Education Edition has application questions.
1. Bicycles and tricycles with 40 wheels are parked in front of the shopping mall 18. How many bicycles and tricycles are there?

2. Xiao Ming has 40 triangular, rectangular and pentagonal cards * * *, and these cards * * * have 156 corners, among which rectangular and pentagonal cards have the same number. How many cards are there in each of the three cards?

An adult eats two apples at a time, and two children eat one apple at a time. Now there are 99 adults and children, and * * * has eaten 99 apples. How many adults and children are there?

4. Mother squirrel can pick 20 pinecones every day in sunny days, and only 10 in rainy days. Received 120 for several days, with an average of 12 per day. How many rainy days are there these days?

Three engineering teams, A, B and C, built a 2-kilometer highway. The length ratio of their construction is 8: 7: 5, 1. How many meters did three engineering teams build? 2. The same 30 boxes of apples weigh 2700kg. How many boxes can these apples hold if each box is one ninth more?

3. A company charges 2% agency fee for selling a house to its customers, and an agency company, Mr. Wang, charges 6800 agency fee for selling a house. Mr. Wang has to pay 1.5% deed tax when buying a house. How much does Mr. Wang pay?

4. A rope is 10 meter long. One fifth of this rope was used for the first time, one quarter of this rope was used for the second time, and how many meters was used for the second time?

Xiaohong traveled for one-fifth hour and three-eighth kilometers. He drives () km per hour. How many hours is 1Km?

Type a manuscript. On the first day, I typed 25% of the total, and on the second day, I typed the total.

40%, the next day is six pages more than the first day. How many pages are there in this manuscript?

If each ticket in the advertisement is 8 yuan, a school will organize 97 students to perform in the advertisement.

Is 800 yuan enough?

After streamlining, the staff of a public institution 135, less than the original staff.

45 people, reduced by a few percent?

A toy factory produces small plane model toys, originally planned to produce 100, and actually produced it.

Production of 120 aircraft, a few percent more than originally planned?

There are 247 boys and 2 13 girls in a school, accounting for 46% of the whole school. How many students are there in this school?

Wang Gang completed a number of tasks. It took him four days to finish the task originally planned for five days. How much has his work efficiency improved?

The planned sales of the trading company last year was 250 million, but it actually reached 320 million. What percentage did it exceed?

Three-sevenths of the total length of a section of road has been repaired. If it is repaired by 120m, it will be repaired by 1 of the total length. How many kilometers is this road?

Two trains, A and B, travel in opposite directions from two places. Car A takes 2/4 of the whole journey in 3 hours, and car B takes 15 hours to complete the journey. It is known that car A travels 50 kilometers per hour, and how many kilometers does car B travel per hour?

A book has 182 pages. The first day, I read 2/7 pages. The next day, which page should I start reading?

A TV factory produced 540 black and white TV sets in August, 20% more than color TV sets. How many TVs did it produce in August?

There are 875 students in primary school, and boys account for 48% of the whole school. How many boys are less than girls?

There are 460 pear trees in the orchard, and there are 25% more apple trees than pear trees. How many apple trees are there in the orchard?

Commodity prices have fallen seasonally. Now the retail price in 78 yuan is lower than the original price 19.5 yuan. How much discount?

For a project, one person in Group A completed it in 30 days. If Team B does it for 7 days first, and Party A and Party B do it for 8 days, and it is scheduled for Team A 12 days to complete it, how many days will it take for Team B to complete it alone?

Last year, this steel plant produced 2.7 million tons of steel, 300,000 tons more than planned. What is the percentage of actual output exceeding the plan?

If we do a project alone, team A needs 65,438+02 days, team B needs 65,438+00 days and team C needs 65,438+05 days. Now that team A has done it for 3 days, how many days will it take for the remaining teams B and C to complete the task?

The workshop produced a batch of parts, and 40% of the parts were produced in 4 hours. According to this calculation, 30 parts can be produced in 2.5 hours. How many parts are there in this batch?

1, a batch of grapes weighed 250kg when put into storage, and the measured water content was 99%. After a while, the water content was 96%. What is the weight of grapes at this time?

2, the fifth grade cleaning, originally planned to send students to the playground to weed, the rest of the students to sweep the floor, actual labor, and two students to participate in weeding, so the number of weeding is the number of sweeping the floor, originally planned to send several students to weed.

There are 1 12 books on two floors. If two books on the second floor are moved to the first floor, the number of books on the two floors is equal. How many books are there on the second floor 1 12÷2+2?

4. The ratio of male students to female students in bright primary school is 7:5, and then it changed to 12 female students. At this time, the ratio of boys to girls is 9:7. How many girls are there in school now?

A 5.6-meter-long bamboo pole is inserted in the pool to expose the water surface, and the rest is inserted in the mud. How deep is this swimming pool?

6. The agricultural company transferred the first team to the second team. At this time, the people in the second team happened to belong to the first team. The second team is known to have 22 people. How many people are there in the first team?

Xiao Ming originally planned to finish reading a book in 20 days, but he finished reading 40% of the whole book in 5 days. At this rate, he can finish reading it a few days in advance.

8. There is a pile of fruits, among which apples account for 45%. After adding 16 kg pear, apples account for 25%. How many kilograms of apples are there in this pile of fruit?

9. Make a cube into the largest cylinder. Given that the volume of a cylinder is 392.5 cubic centimeters, how many cubic centimeters is the volume of a cube?

10, the experimental school sent 60 contestants to participate in the "Children's ok Competition", among which female contestants accounted for the majority. In the official competition, several female players were absent for some reason, so that the number of female players became the total number of participants. How many girls have officially entered the competition?

165438+

12, the kindergarten bought some books. Science books are picture books and story books, and picture books are science books and story books. There are 15 story books. How many science and technology books and picture books are there?

13, water conservancy project, completed by two teams in 30 days. If the two teams 12 days are repaired, the rest will be completed by team b alone, 24 days. How many days does it take for Party A and Party B to do this project alone?

14, there are two classes A and B in the fourth grade of workers and peasants primary school. The number of class A is the number of class B. If three people are transferred from class B to class A, the ratio of class A to class B is 4:5. How many people are there in each class?

15, water conservancy project, 8 days for Party A and 4 days for Party B.. Party A and Party B cooperate, and Party A takes a rest due to illness 1 day. When finishing the task, Party B worked for several days.

16. It takes 10 hour for the bus to travel from place A to place B, and 15 hour for the truck to travel from place B to place A, and both cars travel in opposite directions at the same time. When they met, the bus traveled 80 kilometers more than the truck. Find out the distance between Party A and Party B..

17, a class has a meeting, and the number of people who ask for leave is the number of people present. In this way, the number of people on leave is the number of people present. How many students are there in this class?

18, it takes 8 hours for the master to complete a batch of parts by himself. It is known that the work efficiency ratio of master and apprentice is 4:3, and how long it takes for apprentice to complete it alone (proportional solution).

19, self-employed people shipped 385kg tomatoes and eggplant. After the tomatoes and eggplant are sold out, the remaining two dishes are of equal quality. How many kilograms of tomatoes and eggplant were shipped?

20. The weight ratio of two bags of rice is 3: 10. If Party B gives Party A 20kg, this is the weight ratio of two bags of rice, 7:6. Find out how many kilograms each of the original two bags of rice weighed.

The express train and the local train depart from Party A and Party B relatively, and the express train will run the whole journey before the local train departs 1 1 km. When they meet, the local train will finish the race. As we all know, the speed ratio of the express train to the local train is 5:4. How many kilometers is it between Party A and Party B?

2 1, A and B are in the pool. The sum of the lengths of the two sticks is 190cm. Bonzi A came out of the water, and Bonzi B didn't sleep. How many centimeters is the water depth?

22. Two cars, A and B, travel in opposite directions from east and west at the same time. It is known that the speed ratio of Party A and Party B is 2:3. It takes Party A five hours to complete the journey, so that the two cars can meet each other a few hours after departure.

23. The production of a forklift has been reduced by 4.5 hours from the original 7 hours, and the original daily production is 65,438+040 units. How many units are produced every day now (using the positive-negative ratio scheme)?

24. It takes 40 days for Party A to do a job alone, and 60 days for Party B to do it alone. Now working together, Party A will take a few days off due to illness. After 27 days, Party A will have a few days off.

25. When reading a book, the ratio of read to unread is 3:4. If you read 50 more pages, you will have read twice as much as you have not read. How many pages are there in this book?

26. There are two meshing gears, the big gear with 48 teeth and the small gear with 32 teeth. If the big gear rotates 100 rpm, how many revolutions does the pinion rotate in 20 seconds (proportional solution).

27. It takes six hours for the bus to go from A to B, and four hours for the truck to go from B to A. Now, the two cars start from A and B at the same time, heading in opposite directions. Therefore, they meet at a distance of18km. How many kilometers did the truck travel when they met?

28. The raw material weight ratio of warehouse A and warehouse B is 7:5. If warehouse A gives warehouse B 26 tons, then warehouse A belongs to warehouse B, then how many tons of goods did warehouse A originally have?

29. After cutting the circular iron sheet with a radius of 30 cm, roll the remaining part into a lampshade, and find the radius of the circle at the bottom of the lampshade.

30. After dividing the bottom of a cylinder with a height of 4 cm into several sectors, cut the cylinder and put it together to form an approximate cuboid as high as its bottom. The surface area of a cuboid is increased by120cm2 compared with that of a cylinder. What is the original volume of this cylinder?

3 1, there is a pile of fruits, and apples account for 45%. After adding 16 kg pear, apples account for 25%. How many kilograms of apples are there in this pile of fruit?

32. The fruit warehouse delivered 400 kilograms of fruit with 90% water content. After a week's measurement, it was found that the water content was reduced to 80%. What is the total weight of this batch of fruit now?

33. Two cars, A and B, start from A and B at the same time and drive in opposite directions. A travels 80 kilometers per hour, and B travels 65,438+00% of the whole journey per hour. When B drives all the way, how many kilometers does Party A drive all the way to B, A and B?

34. The weights of these two piles of coal are equal. 2.5 tons were taken out of pile A and put into pile B, and the weight ratio of the two piles of coal was 3:5. How many tons of raw coal were found in pile A?

35. The school bought a new batch of science and technology books and story books, accounting for the total, and later bought 80 science and technology books. At this time, science and technology books account for the total. How many books did the school originally purchase?

36. It takes 4 hours for A to walk from East Town to West Town and 6 hours for B. If A starts from East Town and B starts from West Town at the same time, they will walk in opposite directions. When they meet, A will walk 12 kilometers more than B, thus finding out the distance between the two towns.

37. A project will be completed after 8 days of cooperation between Party A and Party B. After Party A goes it alone 12 days, Team B will go it alone for 6 days. At this time, the whole project was completed. How many days does it take for Party A to do this project alone?

38. The ratio of the school art interest group to the music interest group is 5:4, and seven people joined the art interest group halfway. At this time, the ratio of the two groups is 8:5. How many people are in each of the two interest groups?

39. It takes 5 minutes for a master to make a part and 9 minutes for an apprentice to make a part. If mentoring cooperates 168, ask how much each earns.

40. Two teams will complete a project in 65,438+02 days. First, Team A will do it alone for 6 days, and the rest will be done by Team B for 2 1 day. If all teams are completed by team B, how many days will it take?

4 1, a project is completed in 20 days by Party A and 30 days by Party B. After 30 days, Party B asks for leave because of something, and it takes 14 days from the start to the completion, and Party B asks for leave for a few days.

42. It takes 1O hours for the bus to go from place A to place B, and 15h for the truck to go from place B to place A, and both cars are driving in opposite directions at the same time. When they met, the bus traveled 80 kilometers more than the truck. Find the distance between a and b.

43. There are 27O parts. Party A will finish it in 5 days and Party B will finish it in 4 days. Divide these parts among two people. How much should everyone get if they want to finish it at the same time?

44. The production time of each farm tool in the farm tool factory has been reduced from seven minutes to four or five minutes. L4O kinds of farm tools were produced every day. How many farm tools are produced every day now (by positive-negative ratio solution)?

45. Pave the 16OO block needed by the first workshop with square bricks with a side length of 4 decimeters; Now it is paved with square bricks with a side length of 5 minutes. How many pieces (proportion) are needed?

46. There are two meshing gears, the big gear with 96 teeth and the small gear with 16 teeth; If the big gear rotates 1OO revolutions per minute, how many revolutions (proportion) does the pinion rotate every 40 seconds?

47. There is a pool of water. When the water turns into ice, its volume increases by L/11; When ice melts into water, its volume is reduced by a fraction.

48. Take a box of 168 light bulbs first, then take the remaining 2/3, leaving l/7 of the total. How many light bulbs are there in this box?

49. In the sixth grade, 1.5 students participated in the extracurricular activity group, and then two students participated in the extracurricular activity group. The actual number of participants is 1/3 of the rest. How many students joined the extracurricular activity group?

50. The original ratio of the two training teams was 4:3, and 48 people were transferred from Team A to Team B. Now the ratio of the two teams is 2:3. How many people are there in Team A?

5 1, the number of machines produced by a factory in the first, second and third quarters is 75% of the whole year, and that in the third and fourth quarters is 45% of the whole year. It is known that 200 units will be produced in the third quarter. How many machines does this factory produce throughout the year?

52. A job is divided equally between Party A and Party B, and it takes Party A 5 hours and Party B 8 hours to complete it. How many hours can two people do together?

53. Warehouse A and Warehouse B have * * * stored grain1680 tons, 3/4 of which are shipped from Warehouse A and 2/3 from Warehouse B, and the surplus grain of the two warehouses is equal. How many tons of raw grain are there in warehouses A and B?

54. The average score of a class in an exam is 7O, 3/4 passed, and the average score is 8O. Seek the average score of those who fail.

55. When sailing downstream, the speed of the ship is 1O kilometers per hour, and when sailing upstream, the speed of the ship is 6 kilometers per hour. Find the average speed of the ship going back and forth.

56, A, B, C is 52, A, C is 55, B, C is 57. What's a, b and c?

57, the clock strikes 4 times at 4 o'clock and knocks out in 6 seconds; Then knock 12 at 2 o'clock, and knock it out in a few seconds (tree planting problem)

58. If a commodity is sold at a fixed price, 96 yuan can make a profit. If you sell it at 80% of the fixed price, you will lose 832 yuan. What is the purchase price of goods (profit problem)?

59, the sugar water with the concentration of lO% and the weight of 80g is added with a few grams of sugar, which becomes the sugar water with the concentration of 2O% (concentration problem).

60. Put a round steel with a radius of 5 cm into a cylindrical water storage bucket. If you put it all in a bucket, the water in the bucket will rise by 9 cm. If the round steel in the water is 8 cm higher than the water surface, the water in the bucket will drop by 4 cm, and the volume of the round steel will be calculated.

6 1, divide the bottom of the cylinder into 4O parts, and then cut it into approximate cuboids. It is known that the circumference of the bottom of a cuboid is 16.56cm and the height is 8cm. Find the volume of a cylinder (by hand).

62. Passenger ships and cargo ships leave from Port A and Port B at the same time, and passenger ships sail from Port A to Port B at a speed of 30 kilometers per hour. The cargo ship sailed from Port B to Port A 1/36 hours. When the passenger ship is away from Port A180 km, the cargo ship is just away from Port B120 km. How many kilometers are the two ports apart?

63. Shengli Primary School has three extracurricular groups: Science and Technology Group 1O students, accounting for 20% of the total number of the three groups. The ratio of art group to sports group is 3:2. How many people are there in the sports group?

64. At the end of the autumn harvest, Uncle Zhang harvested a pile of rice. He intends to sell the rest except leaving enough rations. He knew the market situation in advance: rice per kilogram 1. In 50 yuan, the rice is 2.20 yuan per kilogram, and the rice yield is 70%. If rice is processed into rice, bran money can offset the processing cost. Please help me sum it up. Uncle Zhang is very economical in selling rice.

65. In the construction of Jingjiang Tongda project, Xieqiao Town originally planned to lay a cement road with a length of 5,000m, a width of 12m and a thickness of 25cm from Xieqiao Bridge in two months. 40% of the roads were paved in the first 25 days. According to this progress, can this expressway be completed as scheduled (with different methods to solve the problem, plus points)?

66. How many yuan does Xiao Ming have? The first time I spent 2/5, I got 24 yuan. After spending 1/3 of all the money at this time for the second time, 72 yuan was left. How much did he spend for the first time (reverse calculation)?

67. There are 135 students in Class A and Class B, and the sum of Class A 4/7 and Class B 4/5 is 92. How many students are there in Class A and Class B (hypothetical method)?

68. Operation problem: There are five cakes of the same size, which should be distributed to six Xiaoming friends equally, so that each child can get two cakes, and everyone can take them in the same way. How to draw a schematic diagram?

69. Wang Hong is 9 years old and Wujiang 19 years old. A few years ago, Wujiang was three times as old as Wang Hong.

For a project, it takes 15 days for Team A to do it alone, and 12 days for Team B to do it alone. After the two teams finish together for a few days, team B needs three days to finish the rest of the work. How many days did Team A and Team B work together?

70. Group A and Group B produce a batch of parts at the same time. It takes 5 days for group A to do it alone, and 3 days for group B to do it alone. These two groups cooperate to produce 1600 parts every day. How many parts are there in this batch?

A cuboid block, the sum of all its sides is 108cm, and its ratio of length to width is 4:3:2. Now, this cuboid will be cut into the largest cylinder. How many cubic centimeters is the volume of this cylinder?

There are 282 books on the two shelves, of which 3/4 is equal to 5/9 on the first shelf. How many books are there on each shelf?

Please fill in the symbol () in brackets to get the correct statement below.

A. the area of a circle is proportional to its radius;

The volume of a cube is proportional to the length of its sides;

C. the area of a triangle is proportional to its height:

If the area of a rectangle is constant, its length and width are inversely proportional.

85. A washing machine factory plans to produce 8,500 washing machines this year, in which the quantity ratio of (1) and (2) is 1: 2, and the quantity ratio of (1) and (2) is 3:4. The planned output of these three washing machines is _ _ _ _ _ _.

86. Zhang has a few yuan in deposit. Those who bought treasury bills used the deposit, bought the rest of various reference books, and finally left 80 yuan. He asked how much the original deposit was.

87. The picture on the right shows a bicycle with driving teeth 54, driven teeth 18 and rear wheel diameter 1 m.. If you pedal twice a second (that is, drive the wheel twice), the bicycle can travel _ _ _ _ _ _ kilometers in an hour.

88. As shown in the figure, an object consists of three cylinders, and their radii are respectively

0.5 decimeter, 2 decimeters, 5 decimeters, and the height is 2 decimeters, then

The surface area of this object is () square decimeter.

89. There are 565,438+0% students in a certain school who want to be admitted to Peking University in the future. Some of the students who want to enter Peking University are boys, and some of the girls want to enter Peking University. (65,438+00 points)

90, build a highway. The ratio of repaired and unrepaired lengths is 1:4. After repairing 75 meters, the ratio of repaired length to unrepaired length is 8: 17, and the length of the highway is () meters.

9 1, there is a piece of cloth that can be used to make 4 sets of adult clothes or 7 sets of children's clothes. It is known to make a set.

92. A birthday cake, each piece cut into five equal parts weighs 80 grams more than each piece cut into seven equal parts. How much does this birthday cake weigh?

Choose the right proportion and draw this test paper in the box below.

Proportion: _ _ _ _ _ _ _

94. Comparing the crowded degree of the two pools, the result is ().

(1) Pool A is crowded; (2) Pool B is crowded; (3) The two pools are the same.

95. The original cement weight ratio of the two construction teams was 4:3. When Team A gave Team B 54 tons of cement, the cement weight ratio of Team A and Team B was 3:4. How many tons of cement does Team A have?

96. There are vegetables in the market, including radish *** 1600 kg, of which 60% are known radish. Later, a batch of vegetables arrived. At this time, the weight ratio of radish to vegetables is 4:3. I asked how many kilograms of vegetables are on the market now.

97. A cylindrical water pipe with an inner diameter of 20 cm and a water flow speed of 4 meters per second. 1 min How many cubic meters of water can this pipe flow?

98. There is a round steel with a length of 20 cm and a radius of 2 cm. Drill a conical hole with a depth of 4 cm and a bottom radius of 2 cm at both ends to make a part, as shown in the figure. What is the volume of this part in cubic centimeters?

99. A cylindrical bucket with a height of 3 cm and a bottom diameter of 20 cm is filled with water. There is an iron cone with a base diameter of 18 cm and a height of 15 cm in the water. What will happen if this iron cone is taken out? What is the result?

The chorus transferred six people to the track and field team, and the ratio of the chorus to the track and field team was 3:4. How many people are there in the choir?