84. Ship A and Ship B are sailing on the river 90 kilometers apart. If they move in the opposite direction, they will meet in 3 hours; If they go in the same direction, ship A will catch up with ship B in 15 hours. Find the speed of ship A and ship B in still water.
85. There are 90 students in two classes in Senior Two, including 765,438+0 young pioneers, 75% in Class One and 5/6 in Class Two. How many young pioneers are there in Class One than in Class Two?
86. A container has been filled with water, and there are three balls in it. The first time, the small ball sank into the water, the second time, the middle ball sank into the water, and the third time, the middle ball and the big ball sank into the water together. Now we know the amount of water that overflows from the container every time: the first time is 1/2, the second time is, and the third time is.
87. Some people spent 2 hours climbing the mountain and 2.5 hours returning. His climbing speed is 3000m/h, and his downhill speed is 4500 m/h. How many meters does it take to climb the mountain?
88. The length of each raw steel bar is 7.3 meters, and each set of steel bar shelves is made of 2.4 meters, 2. 1 m and 1.5 meters respectively. Now we need to tie 100 sets of steel frames. How many raw materials should be used at least?
89. There is a copper-zinc alloy in which the ratio of copper to zinc is 2: 3. It is now known that after adding 6 grams of zinc, 36 grams of new alloy will be obtained after melting. What is the ratio of copper to zinc in the new alloy?
Xiao Ming usually goes to school on foot. One day, he wanted to do some exercise. He runs fast before 1/3, and jogs in the second half, which is twice as fast as walking. So Xiao Ming arrived at school 35 minutes earlier than usual. How many minutes does it take Xiao Ming to walk to school?
Comprehensive Training of Mathematical Application Problems in Primary Schools (10)
9 1. There are three people, A is three years older than B, and B is two years younger than C. The sum of the three people's ages is 109. Find out the ages of A, B and C respectively.
92. The express train departs from Station A to bilibili at a speed of 60 km/h. After 1.5 hours, the local train departs from Station A in bilibili at a speed of 40 km/h. When the two cars meet, the meeting point is 70 km away from the midpoint of the two stations. How many kilometers are the two stations apart?
93. Bus A and Bus B leave school for the museum at the same speed. It is known that the distance between 8:32 A train and school is three times that of B train, and the distance between 8:39 A train and school is twice that of B train.
94. In a working group, each worker can produce a batch of parts in seven hours by working in his own post. If the positions of workers A and B are reversed, the batch of parts can be completed 1 hour in advance. If workers C and D switch places, other things being equal, they can also be moved forward 1 hour.
95. Make a cuboid with 10 cuboid blocks 7 cm long, 5 cm wide and 3 cm high. What is the minimum surface area of this cuboid?
96. There are only two kinds of tickets for the public circle: individual tickets for 5 yuan, group tickets for 10 people for 30 yuan, and group tickets for 10 or more with a discount of 6.5438+00. (1) According to the above regulations, how much should 45 people from Company A pay to visit the park? (2) How much does it cost for 208 people in Unit B to go to the park to buy tickets according to the above regulations?
97. A, B and C scored 260 points. It is known that 1/3 of grade A and 1/4 of grade B are equal to half of grade C minus 22 points. What's the c score?
98. For a project, Party A and Party B cooperate for four days, and Party B completes it alone for five days. It is known that Party A finishes more than Party B every day 1/30. How many days does it take for Party A and Party B to do this project alone?
99. There are two candles, one is long and the other is short, and they burn at the same time. The sum of their lengths is 56 cm. After they are lit at the same time for a period of time, the length of the long candle is as long as that of the short candle before lighting, and then the short candle is exactly 2/3 of that of the long candle. How long does it take to light a long candle?
100. A batch of apples is packed in 20 baskets on average. If each basket contains 1/9, how many baskets can be saved?
Comprehensive training of mathematical application problems in primary schools (1 1)
10 1. Xiaoming bought 1 pen and spent more than half of the total money he brought, 0.5 yuan; Bought a 1 ballpoint pen and spent less than half of the money left after buying it, 0.5 yuan; I bought 2.8 yuan's notebook again. How much money did 0.8 yuan Xiaoming bring?
102. The son is 6 years old, and the age of the father 10 years ago is equal to the age of the son 20 years later. When the father's age is exactly twice that of his son, what year is it?
103. On a wire with a length of12m, the yellow beetle crawled from the right end to the left end at a speed of15cm per minute at 8: 20; At 8: 30, the red beetle and the blue beetle crawled from the left end to the right end at the speed of13cm and 1 1 cm per minute, respectively. When is the red beetle just between the blue beetle and the yellow beetle?
104. A PLA unit rushed from the station to a certain place to fight floods and rescue. If the speed is increased by 1/9, it will be 20 minutes longer than the scheduled time; If you drive 72 kilometers at the original speed and speed up 1/3, you can arrive 30 minutes ahead of schedule. How many kilometers is the journey of this PLA unit?
105. It takes 4 hours for a boat to go from Pier A to Pier B, and when it comes back, it is more than when it goes downstream 12 kilometers per hour. So the last two hours are18km longer than the previous two hours, so what is the distance between pier A and pier B?
106. The ratio of the number of students in Class A and Class B is 5: 4. If 9 students are transferred from Class B, the number of students in Class A is 2/3 more than that in Class B. How many students are there in Class B at this time?
107. Two piles of coal, A and B, weigh 78 tons, of which 25% are transported from A to B, so the weight ratio of B to A is 8: 5. How many tons of coal are there in each pile?
108. It takes 20 days for Party A to do a job alone, and it takes 12 days for Party B to do a job alone. If the work is done by team A for a few days, then it will be done by team B. Both teams need 14 days. How many days does team A need?
109. A motor factory plans to produce a batch of motors and start producing 50 motors every day. After the planned 1/5 was produced, the work efficiency was improved by 60% due to technical transformation, so the task was completed three days ahead of schedule. How many motors have been produced?
1 10. The divisor of two numbers is greater than 9 and 4. If both the dividend and the divisor are expanded to triple, then the sum of dividend, divisor, quotient and remainder is equal to 2583. What are the original dividend and divisor?
Comprehensive Training of Mathematical Application Problems in Primary Schools (12)
1 1 1. On the straight highway, the distance between A and B is 600 meters. A walks 4 kilometers per hour and B walks 5 kilometers per hour. At 8 o'clock in the morning, they set off from A and B at the same time. 1 minute later, they all turn around and go in the opposite direction, that is, press 65438 in turn.
1 12. There are two engineering teams to complete a project. Team A has a rest 1 day after working for 6 days, and it takes 76 days to finish it alone. Team B has two days off every five days of work, and it takes 89 days for one person to finish the work. According to this calculation, the two teams cooperated, and the construction started from1998165438+129 October, and was not completed until 1999.
1 13. In a math contest, Xiao Wang did 2/3 of the total number of questions, and Xiao Li made five mistakes. Both of them did 1/4 of the total number of questions. How many questions did Xiao Wang get right?
1 14. There are 100 coins (1 minute, 2 points, 5 points). If all 2 points are replaced by equivalent 5 points, the total number of coins becomes 79, and then all 1 minute is replaced by equivalent 5 points, the total number of coins will be 79.
1 15. Two objects A and B move relatively along the circular runway, starting from two points that are150m apart (the length of the small arc on the circular runway). If they move along a small arc, A and B meet at 10 second. If they move along a big arc, they will meet in 14 seconds. As we all know, when A runs,
A workshop can produce 120 type A parts, 100 type B parts or 200 type C parts every day. Three A-type parts, two B-type parts and 65,438+0 C-type parts can be made into a set. Now it is required to produce the most complete set of products within 30 days. How many days does it take to produce three parts, A, B and C?
First, the application of decimal step addition and subtraction
1, 6.25 yuan for a math book and 5.86 yuan for a Chinese book. Two books and one * * *, how much is it?
2. A watermelon weighs 4.86 kg and a cantaloupe weighs 3.5 kg. How many kilograms is a watermelon heavier than a cantaloupe?
One-step multiplication and division of two decimal places 1 a kind of wool is 48.36 yuan per kilogram. How much is 3 kilos? Buy 0.6 kg?
2. A professional sericulture group raises 2 1 spring silkworm and one * * * produces1.24kg cocoon. How many kilograms of cocoons are produced per piece on average?
Three, three two-step calculation application problems with known conditions 1, Xiaohong read a story book for five days, reading 12 pages every day, but didn't read 38 pages. How many pages are there in this book? (Draw a line segment)
3 bags of flour and 3 bags of rice in the canteen. Flour is 25 kg per bag and rice is 50 kg per bag. How many kilograms of flour and rice are shipped?
3. The militia targeted the target, using 250 bullets for the first time, 320 bullets for the second time, and the third time was less than the sum of the previous two times 180 bullets. How many bullets were used for the third time?
Four, two-step calculation application problems under two known conditions
1. The school bought 45 boxes of colored chalk, and white chalk bought more than colored chalk 15 boxes. How many boxes of chalk do I buy?
2. An empty basket weighs 2kg, and there are 32kg peanuts in it. How many times the weight of the basket containing peanuts is that of the empty basket?
The Application of verb (Verb's abbreviation) Multiplication
1. The grain store sent two truckloads of flour, each with 80 bags of 25 kilograms. How many kilograms of flour did this grain shop send? (Answer in two ways)
2. Junior three students go to the vegetable garden to collect cabbages, which are divided into four groups, each group 1 1 person, with an average of 45kg per person. A * * * How many kilograms of cabbage?
1. The chemical fertilizer plant plans to produce 7,200 tons of chemical fertilizer, which has been produced for four months, with an average of 1200 tons of chemical fertilizer per month, leaving 800 tons per month. How many months will it take to complete the production?
2. The plastic factory planned to produce 1300 plastic modules, and produced 780 plastic modules in 6 days. According to this calculation, how many days will it take to produce the rest?
Li Shifu produced 252 parts in four hours in the morning, and worked at this speed for three hours in the afternoon. How many parts does Li Shifu produce on this day?
The cement plant plans to produce 3600 tons of cement, which will be completed in 20 days. In fact, it produces 20 tons more than planned every day. How many days does it actually take to complete the task?
5. A pile of 3.6 tons of coal is planned to burn 10 day. After improving the stove, it saves 0.06 tons per day compared with the original plan. How many days can this pile of coal burn now?
6. The distance between A and B is 420km, and a bus is planned to travel from A to B for 7 hours. In fact, its speed is more than planned 10 km. How many hours will it actually arrive?
7. Xiao Qiang goes back to school from home. If he walks 50 meters every minute, 12 minutes to go back to school. If he walks 10 meter per minute, he can go back to school a few minutes earlier.
8. Build a 6.4-kilometer expressway. In the first three months,1.2km was built on average every month, and the rest were repaired every month. How many months will it take?
9. Xiaoming spent 10.2 yuan on stationery, bought six pencils at 0.45 yuan each, and bought ballpoint pens for the rest. How many can he buy for each 2.5 yuan?
10. The garment factory originally planned to make 120 suits, each with 4.8m cloth. After improving the cutting method, each set saves 0.3 meters of cloth. How many sets of clothes can be made from the original cloth now?
1 1. A story book, originally 576 words per page, 25 pages. The second edition, with smaller words, only needs 18 pages. How many words are arranged on each page now than before?
12. A passenger train and a freight train leave from Party A and Party B at the same time. The speed of passenger trains is 80 kilometers per hour, and that of freight trains is 60 kilometers per hour. Five hours later, two trains met. How many kilometers is the railway between A and B?
13. Two engineering teams open1500m tunnel at the same time. Construction team A starts from one end and digs 14m every day. Construction team B starts from the other end and digs 16m every day. How many days can the tunnel be dug?
14. Party A and Party B type a 7000-word manuscript at the same time. Party A types 600 words per hour, and Party B types 200 words more than Party A. How many hours does it take to complete the task?
15. After school, Xiao Ming and Xiao Qiang walk in opposite directions at the school gate. Xiaoming walks 70 meters per minute, and Xiao Qiang walks 68 meters per minute. How many meters are they apart after 5 minutes?
16, the distance between a and b is 630 kilometers. Two hours after the bus departs from A, the truck departs from B. It is known that the speed of the bus is 65 kilometers per hour and the speed of the truck is 60 kilometers per hour. A few hours after the van left, it met the bus.
Exercises of Mathematics Application in Grade Five (2)
Category: Name: Result:
1. Machine tool factory used to know that each machine tool used steel 1.02 tons. After the improved design, each machine tool saves 0. 12 tons compared with the original machine tool. The first 300 machines used steel. How many machines can be made now?
Xiaoming bought six pencils and four exercise books, each of which cost 0.68 yuan, and each pencil cost 0.24 yuan. Xiao Ming paid 5 yuan money, how much should he get back?
3. Two trains, A and B, leave from two places at the same time. The speed of train A is 80 kilometers per hour, and that of train B is 70 kilometers per hour. 12 hours later, the distance between the two trains is still 1 10 km. How many kilometers are there between these two places?
4. Guangming Paper Mill produced a batch of newsprint, which was originally planned to be completed in 28 days, with a daily output of 12.5 tons. The application was completed three days in advance. How many tons is the actual daily output more than originally planned?
5. Li Shifu has produced a batch of parts. Three days ago, 126 parts were produced. According to this calculation, it takes 12 days to complete the production task. How many parts are there in this batch?
The chemical fertilizer plant planned to produce 84 tons of chemical fertilizer in 30 days, but actually produced 0.2 tons more than planned every day. How many days did it actually finish the task ahead of schedule?
7, processing a batch of clothes, processing 300 sets a day, 16 days can be completed,
(1) If 400 sets are processed every day, how many days will it be completed in advance?
(2) If 20 sets are processed every day, how many days can it be completed?
(3) If it is to be completed five days in advance, how many sets will be processed every day?
8. A car factory planned to produce16,800 cars throughout the year, and as a result, the annual production task was completed two months ahead of schedule. At this rate, how many cars can be produced throughout the year?
9. A workshop of Xinfeng Agricultural Machinery Factory processes 2480 parts. Originally, 100 pieces were processed every day, and after working for 20 days, 120 pieces were processed every day. So we can finish the task in a few days.
10, a clothing factory used to make a children's dress, using 2.2 meters of cloth each time. Now the cutting method has been improved, and each set saves 0.2 meters of cloth. The cloth used to make 600 sets of this kind of clothes, how many sets can be made now?
1 1. Xiaohong bought three exercise books and three new word books, one at 0.36 yuan and the other at 0.32 yuan. How much did Xiaohong spend less on new word books than on exercise books?
12, students carry water to water trees. Forty-five trees were watered in the third grade, 10 fewer trees were watered in the third grade than in the fourth grade, and half fewer trees were watered in the fourth grade than in the fifth grade. How many more trees are watered in the fifth grade than in the third grade?
13, two engineering teams jointly opened a tunnel, each digging from one end. The first team drives 12.6 meters every day, and the second team drives 14.4 meters every day. Five days after the first team dug, the second team joined, and the 2 1 day tunnel was finally opened.
How long is this tunnel?
(2) How many meters did the two teams dig when they got through?
14, the speed of the car is 63 kilometers per hour, and the speed of the car is 1.4 times that of the truck. They started from two places 270 kilometers apart at the same time and drove in opposite directions.
(1) How many hours did you meet?
(2) How many kilometers did the two cars travel when they met?
(3) If it is 8: 00, 15, when will we meet?
1 The speed of motorcycle is 98km/h and that of truck is 80km/h.. Try:
(1) Time ratio of motorcycles and trucks;
(2) The ratio of driving distance between motorcycle and truck;
(3) The ratio of motorcycle speed to truck speed.
A car traveled 280 kilometers from A to B, 500 kilometers away. Find the ratio of the distance traveled to the remaining distance.
3 A project is completed by team A alone 10 days, and team B alone for 8 days. What is the work efficiency ratio between Team A and Team B?
There are 40 students in Class 5 (1), 32 of whom have reached the standard in physical exercise, and what percentage of the class has failed to meet the standard (that is, failed rate)?
Xiao Li, Xiao Zhao and Xiao Wang make a batch of parts together. After completion, Xiao Li counts the total, Xiao Zhao counts the total, and Xiao Wang counts the total. Find the ratio of the number of parts made by three people.
In the first math exam of Class 5 (1), 48 students passed and 2 failed. Seek the passing rate of this math exam.
On a certain day, there were 38 people in a workshop, and two people were absent, so they asked for attendance.
A factory completed 56% of the planned output in the first half and 64% in the second half. What percentage has it increased this month?
9 A set of self-study books, now the unit price is 160 yuan, which is lower than the original price. What's the current rate, 40 yuan?
10 Young Pioneers Greening Group planted 360 trees in spring and 440 trees in autumn, and 760 trees survived, so as to seek the survival rate of saplings.
1 1 mooncake factory produced 140 tons of mooncakes last year, and this year it produced 2 10 tons of mooncakes, an increase of one percentage point over last year?
12 6 kg is more than 5 kg? How much is 5 kg less than 6 kg?
13 A factory completed 56% of the planned output in the first half and 64% in the second half. What percentage has it increased this month?
14 garment factory plans to produce garments in the second half of the year, which is 20% higher than that in the first half. What percentage is it in the second half of the year?
15. The oil yield of rapeseed is 38%. How many tons of oil can 5 tons of rapeseed process?
16. It is planned to invest 5 million yuan to build a waterworks, which actually saves 5% compared with the plan. How many million yuan was saved?
17. The oil yield of rapeseed reached 85%. Qinfen Village planted 8 hectares of rapeseed, and harvested 3,750 kilograms of rapeseed per hectare. * * * How many Jin of rapeseed can you produce?
18. There are 200 sixth-grade students in Xinzhuang Primary School, of whom 120 participated in interest groups. How many more people need to participate in order to make the number of people attending the interest class reach 88%?
19. There are 65438+ 10,000 broilers in the chicken farm. I sold it for the first time and 25% for the second time. How many thousands are left?
20. Weight of a pile of coal 120 tons. Remove 20% of the total weight on the first day and 25% of the total weight on the second day. How many tons are left?
2 1. A car used to use 12 liters of gasoline per hour, but it saved 10% after it was repaired. How many liters of gasoline does this car use per hour now?
22. Grade four students in a primary school 120, and grade five is less than grade four 10%. How many students are there in Grade Five?
Cars travel 24 kilometers per hour, and motorcycles are 70% faster than cars. How many kilometers does the motorcycle travel per hour?
In the first month, an expressway was built, and in the second month, 6 kilometers were built, with 37.5% not repaired. What is the total length of this highway?
A factory produces a batch of parts, 40 pieces on the first day, the second day is more than the first day 10%, and the output in two days accounts for 25% of the total. How many pieces are there in this batch?
Car A traveled 72 kilometers from City A to City B, leaving 62.5% of the whole journey. How many kilometers does this bus need to travel to B city?
Two cars, A and B, leave from two places at the same time. When the first car travels 60% of the whole journey and the second car travels 75% of the whole journey, the distance between the two cars is 140 km. How many kilometers are the two places apart? How many kilometers does car A travel less than car B?
28 Qingfeng Store delivers 1620 Jin of oranges and pears, and the pears delivered are 80% of oranges. How many kilograms of oranges and pears were delivered? .
The oil yield of rapeseed is 38%. How many tons of oil can 5 tons of rapeseed process?
It is planned to invest 5 million yuan to build a waterworks, which is actually 5% less than planned. How much money have you saved?
31195, the national industrial and commercial tax revenue was 538.3 billion yuan,196 increased 105 1 billion yuan. Compared with 1995, what is the growth percentage of 1996?
1. Xinhua Bookstore delivered 5250 literature and science books to the countryside. There are 25 packages of literature books and 80 packages of science and technology books, the number of which is equal for each Bao Shu. How many books are there in each package? How many books are there in science and technology and literature and art respectively?
2. A grain store sells 50 bags of flour in the morning and 30 bags of flour in the afternoon, each with the same weight, and sells 1600 kg more flour in the morning than in the afternoon. How many kilograms does each bag of flour weigh? How many kilograms of flour do you sell in the morning and afternoon?
3. The first truck delivered 80 packages of cement, and the second truck delivered 65 packages of cement, which was less than the first truck 1.5 tons. How many tons of cement were transported by two trucks?
A fruit shop has two baskets of apples with the same unit price. The first basket weighs 45 kg, the second basket weighs 39 kg, and the second basket sells less than the first basket 15 yuan. How much are these two baskets of apples worth? How much are two baskets of apples worth?
5. Huafeng fruit is booming, with 840 kilograms more pears than oranges, and the weight of pears is 1.5 times that of oranges. How many kilograms do oranges and pears weigh?
6. The garment factory has 156 workers, among whom the number of female workers is three times that of male workers. How many male and female workers are there?
7. The weight of two packages of relief goods is 154kg, of which the first package is twice as small as the second package, and it is 14kg. What is the weight of two packages of relief goods?
8. There is rice and flour in the warehouse. It is known that the stored flour is 4500 kilograms more than rice, and the stored flour is three times more than rice, 700 kilograms. How many kilograms of rice and flour are stored in the warehouse?
9. Mingming went to buy clothes on Sunday and spent 175 yuan to buy a suit. It is known that coats are more expensive than trousers 15 yuan. How much are the coat and trousers?
10, the circumference of the rectangle is 55 cm, and the known length is 3.5 cm longer than the width. What is the length and width of this rectangle? References:
Look at it and use it.