8. The distance between the two cities is 225 kilometers. A bus and a truck left two cities relatively at the same time and met after 2.5 hours. As we all know, the speed ratio of trucks and buses is 4: 5. How many kilometers do buses and trucks travel per hour?
9. Weld a 282.6 cm long iron bar into a circular iron ring. What is its radius?
10. For round bottom boilers, the circumference of the bottom circle is 1.57m, and what is the bottom area? (Figures shall be kept to two decimal places)
1 1. Xiaodong has a bike. The diameter of the wheel is about 66 cm. If the average speed is 100 laps per minute, then the distance from home to school is 4 144.8 meters. How many minutes will it take?
12. The minute hand of the wall clock is 20 cm long. After 30 minutes, how many centimeters did the tip of the minute hand walk?
13. The radius of the circular cowshed is15m. How long does it take to circle the cowshed three times? (joints are ignored. ) If a stake is installed every 2 meters, how many stakes will be installed?
14. The range of automatic rotary sprinkler irrigation device on the park lawn is 10 meter. How wide can it spray irrigation?
15. The circular roundabout is 50m in diameter, with a circular flower bed with a diameter of10m in the middle and lawns in other places. What is the area of the lawn?
16. A circular flower bed with a perimeter of 3 1.4m is built in the downtown garden, and a circular path with a width of 1m is built around the flower bed. What is the area of this path?
17, Xiaoming bought stamps with 50 cents and 80 cents *** 16, and * * * spent them 10.7 yuan. How many stamps does Xiao Ming buy each?
In 2002, China Academy of Sciences and China Academy of Engineering had a total of 1263 academicians, including male academicians 1 185. What percentage of academicians are women?
19, Team A and Team B dig canals. It takes 8 days for Team A to dig alone, and it takes 12 days for Team B to dig alone. Now, after two teams dug for a few days at the same time, team B was transferred, and the remaining team A finished digging in three days. Bravo team dug for a few days.
There is a two-digit number, and the sum of its digits is 7. If you subtract 27 from this number, the number you get is exactly the reverse order of the number. Find this number.
Sixth grade math application problem 6
1, a rope is 4/5 meters long. First,1/4m is needed, and then1/4m is needed. How many meters does a * * * need?
There are 50 goats, 3 more than 4/5 goats. How many sheep are there?
3. Read a book with 120 pages. You read the whole book 1/3. How many pages are exactly 5/6 of the whole book?
4. A bottle of oil is 4/5 Jin, and 3/ 10 Jin has been used. 1/2 how many kilograms of oil does it take?
5. A bag of rice 120kg. On the first day, you eat 1/4, and on the second day, you eat the rest 1/3. How many Jin did you eat the next day?
6. For a batch of goods, one car can transport 1/8 at a time, and how many parts can be transported four times? If this shipment weighs 1 16 tons, how many tons have been shipped?
7. A factory used 28 tons of water in September,1planned saving in October 1/7. /kloc-How many tons do you plan to save in October?
8. The base of parallelogram is 24 meters long and its height is 3/4 of the base. What is its area?
9. Human blood accounts for113 of body weight, about two-thirds of blood is water, and dad's weight is 78kg. How many kilograms is his blood?
10, Grade 6 students participated in tree planting, boys planted 160 trees, and girls planted 5 more trees than 3/4 boys. How many trees do girls plant?
1 1. The number of students in the fourth grade of Guangxin Primary School is 4/5 of that in the fifth grade, and that in the third grade is 2/3 of that in the fourth grade. If the number of students in grade five is 120, how many are there in grade three?
12, two cars A and B leave from A and B at the same time, with a distance of 420km. After 5 hours, A walked 3/4 of the whole journey and B walked 2/3 of the whole journey. How many kilometers are the two cars apart?
13, 120 trees were planted in grade five, and the number of trees planted in grade six was 7/5 of that in grade five. How many trees were planted in the fifth and sixth grades?
14. A road of 12/5km was built. 2/3km was built in the first week and 1/3 was built in the second week. How many kilometers were built in two weeks?
15. A highway is 7/8 kilometers long. 1/8km was built on the first day. How many more kilometers will be exactly 1/2 of the total length?
16, Xiaohua read a 96-page story book. The first day he read 1/4, and the next day he read 1/8. How many pages have you read in two days?
17. A book has 150 pages. On the first day, Xiao Wang read110, and on the second day, he read115. Which page should he start from on the third day?
18, the school transported 2/5 tons of cement, and the yellow sand transported was 5/8 of the cement, which was 1/8 tons more. How many tons of yellow sand were shipped?
19, Xiao Wei and Xiaoying contributed 2 :5 to Project Hope. Xiaoying donated 35 yuan. How much did Xiao Wei donate?
The TV factory plans to increase its output by two-fifths this year compared with last year. Last year,1/50,000 TV sets were produced. Tens of thousands of TV sets are planned to be added this year?
Sixth grade math application problem 7
1. A village wants to dig a canal with a length of 2700 meters, and it has already dug 1050 meters. How many meters does it take to dig two thirds of this canal?
2. Young Pioneers in a school collected tree species, the fourth grade 1/2kg, the fifth grade was more than the fourth grade 1/3kg, and the sixth grade was 6/5 more. How many kilograms of tree species were collected in the sixth grade?
The warehouse shipped 240 tons of rice, 5/6 tons of soybean and 2/3 tons of flour. How many tons of flour were delivered?
4. A basket of apples is 9/ 10 Jin, and a basket of apples is 1/9. Party A and Party B are equal. How many kilograms do you want for a basket of apples?
5. Two-thirds of a barrel of oil was poured out, just 36 kilograms. How many kilograms was there in this barrel of oil?
6. Two engineering teams, Team A and Team B, built a 360m road, and the length ratio of Team A and Team B was 5: 4. How many meters did Team A build more than Team B?
7. The number of workers in the first workshop of garment factory is 150, and the number of workers in the second workshop is 2/5 of that in the first workshop. The number of workers in the two workshops is just 5/6 of the total number of factory workers. How many workers are there in the whole factory?
8. A batch of fruits 120 tons, of which pears account for 2/5 of the total and apples account for 4/5. How many kilograms of apples are there?
9. The sum of numbers A and B is 120. Give 1/3 of A and B, and the ratio of A to B is 2:3. What is the original A?
10, Xiaohong collected 24 specimens, and after giving Xiao Fang 4 specimens, Xiaohong was just 4/5 of Xiao Fang. How many specimens does Xiao Fang have?
1 1, and two barrels of oil * * * weigh 27kg. After 2 kg of oil is used in the big barrel, the weight ratio of the remaining oil to the small barrel oil is.
3:2。 How many kilograms of oil was there in the barrel?
12. The length of a cuboid is 144 cm, and the ratio of length to width to height is 4:3:2. What is the volume of a cuboid?
13, Xiaohong has 60 stamps, Xiaoming has 40 stamps, and how many stamps does Xiaohong give to Zhang Xiaoming? The stamp ratio between them is 1: 4?
14, Wang Hua walked from home to school at a speed of 4 kilometers per hour, and it took 1/6 hours to complete two-thirds of the whole journey. How far is Wang Hua's home from school?
15, 3 looms weave 72 meters in 3/2 hours. How many meters does each loom weave on average per hour?
16. How many meters can a car travel with 9/2 kilometers and 9/25 liters of gasoline?
17, there is a triangular iron sheet with an area of 3/5 square meters. Its bottom is 3/2 meters. How many meters is its height?
18, the fruit shop delivered 50 baskets of pears and apples, of which the number of pears was 2/3 of that of apples. How many baskets of pears and apples have been sent?
19. A right triangle is surrounded by 24 cm iron wire. The ratio of the lengths of the three sides of this triangle is 3: 4: 5. What is the area of this right triangle? What is the height of the hypotenuse in centimeters?
20. The circumference of a rectangle is 49 meters, and the ratio of length to width is 4: 3. What is the area of this rectangle?
Sixth grade math application problem 8
1. Two people, A and B, walked in opposite directions from A and B at the same time. A walks 100 meters per minute, and the speed ratio with B is 5: 4. Five minutes later, they just walked three-fifths of the distance. How many meters is there between A and B?
2. A primary school expanded its school building and originally planned to invest 280,000 yuan. The actual investment is less than the original plan 1/7. What is the actual investment?
3. The toy factory planned to produce 2000 game machines, which actually exceeded110. How much was actually produced?
A wire is 40 meters long. First 3/8 meters, then 3/8 meters. How many meters is left in this wire?
5. The price of a book first increases 1/6, and then decreases 1/6. Is this book high in original price or current price?
6. A book is *** 100 pages. Xiao Ming reads 1/5 on the first day, 1/4 on the second day and the rest on the third day. How many pages did he read on the third day?
7. Compared with September, bright primary school1October saved 72 tons of water 1/9 and 10. How many tons of water was saved in September?
8. Build a highway. After 3/7 of the total length, there is still 1.7 km from the midpoint of this highway. How long is this road?
9. There are 60 computers in bright primary school, more than Ai Wu primary schools 1/5. How many computers are there in Ai Wu primary school?
10. There are 60 computers in bright primary school, which is less than that in Ai Wu primary schools 1/5. How many computers are there in Ai Wu primary school?
1 1, eat a bag of rice for two weeks, the first week 1/3, and the second week is 5 kg more than the first week. How much does this bag of rice weigh?
12, Xiao Ming reads a book, and the number of pages he has read is 3/2 of the number of pages he has never read. He reads 30 pages, and the number of pages he has read is 7/3 of the number of pages he has never read. How many pages are there in this book?
13. The number of white rabbits raised in the feeding group is 3/5 of that of small gray rabbits, and there are 24 more small gray rabbits. How many rabbits are there?
14. A fishing boat catches1200kg in the morning, less than in the afternoon 1/7. How many kilograms can it catch a day?
15, a barrel of oil, poured out for the first time 15, poured out for the second time15 kg, and poured out for the third time13, leaving 25/3 kg. How many kilograms is this barrel of oil?
16, one road has been repaired with the total length of13. If it is repaired by 60 meters, it will be repaired by half of its total length. How long is this road?
17. There are 480 cows in the pasture, more than last year 1/5. How much more than last year?
18, a piece of material, it takes 3 hours for Party A to finish typing alone, and 5 hours for Party B to finish typing alone. How many hours do Party A and Party B play together to finish half of this material?
19, cleaning the multi-functional classroom, students in group a can clean it in13 hours, and students in group b can clean it in14 hours. If Party A and Party B work together, how many hours can they clean the whole classroom?
20. A project was completed by Party A in 0/8 days and Party B in 0/5 days. Both parties made joint efforts, but Party A took a leave of absence for 4 days. So how many days did Party A actually complete the task?
Sixth grade math application problem 9
1. There are a batch of parts. 12 days for both parties to process, 9 days for both parties to process, 18 days for both parties to process, and three people to process at the same time. How many days can it be finished?
Xiaoming can buy 12 pencils or 4 erasers with his money. He bought three pencils first, how many erasers can he buy for the rest?
3. Processing a batch of parts. On the first day and the second day, 2/9 of this batch of parts was completed. On the third day, 80 parts were processed, just finishing the processing task. How many parts are there in this batch?
This TV factory planned to produce 5000 TV sets in May, but actually produced 6000 TV sets. What percentage did it exceed?
5. The original price of a computer is 6800 yuan, and now it is reduced by 1700 yuan. What is the percentage reduction?
6. For a section of road, it takes 20 minutes for Party A to complete the journey, and 15 minutes for Party B to complete the journey. What's the Internet speed of Party A?
7. A manuscript was originally planned to be copied in five days, but it was copied in four days. What percentage has the actual work efficiency improved over the plan?
8. Take out 1/5 from the coal in pile A and give it to pile B. At this time, the weights of the two piles of coal will be equal. How much is the weight of raw coal in pile B less than that in pile A?
Class 9.6 (1) has 32 boys and 28 girls. Class 6 (2) is 95% of Class 6 (1). How many students are there in Class Six (2)?
10, a scarf, if sold at 100 yuan, you can earn 25%, if sold at 120 yuan, what percentage can you earn?
1 1, bought 55 footballs, and bought 20% less basketball than football. How many basketballs are there?
12, a pile of sand, the first time 40%. The second shipment is 30%, leaving 48 tons. How many tons is this pile of sand?
13. A flour mill can grind 13000 kg of flour with 20 tons of wheat. Find the flour yield of wheat?
14. In100g of water, add 25g of salt. What's the salt content of this brine?
15, the oil yield of a rapeseed is 33%, if you want to squeeze out 100 kg rapeseed oil. How many kilograms of rapeseed are there at least?
16,200 parts were processed in Li Shifu, and 4 parts were rejected after inspection. What's the pass rate? According to this calculation, how many parts are unqualified after processing 700 parts?
17, Xiaohong's father deposited 5,000 yuan into the bank's current savings with a monthly interest rate of 0.60%. How much after-tax interest did he get after four months? How much principal and interest can I get back (Interest tax rate is 20%)
18, Mr. Wang's monthly salary 1450 yuan, and personal income tax will be levied at 5% for the part exceeding 1200 yuan. What is Mr. Wang's monthly salary after tax?
19. The original price of a basketball 180 yuan is now sold at 75% off the original price. What's the current price of this kind of basketball? How much cheaper is each?
Li Dan's family harvested 300 kilograms of corn last year and 249 kilograms the year before last. Last year, corn production increased by several percentage points over the previous year.
The sixth grade math application problem 10
1, Mingming bought a calculator in the store, and got a 15% discount, which cost 68 yuan. What is the original price of this calculator?
Xiaohua's family harvested 4000 kilograms of rice the year before last. Last year, due to pests, the output decreased by 35% compared with the previous year. How many Jin of rice did Xiaohua's family collect last year?
3. The current price of a commodity is 18 yuan, with a loss of 25%. How much is the loss? If you want to make a profit of 25%, how much should you sell it?
4.30 kg of salt water with a salt content of 10%. How many kilograms of salt can be added to make salt water with a salt content of 25%?
5. The original price of a leather coat is 1800 yuan, but now it has been reduced. What's the discount on products sold in 270 yuan?
6. The insurance company has 120 employees, of which male employees account for 50% of female employees. How many male employees are there in this insurance company?
7. An engineering team built 600 meters on the first day, 20% of the total length on the second day and 25% on the third day. At this time, 75% of the total length was repaired. What is the total length of this highway?
8. Xiaojun bought a set of discounted clothes at the price of 72 yuan, which was cheaper than the original price by 8 yuan. How much is the discount on this suit?
9.1520kg salt water has a salt content of 25%. How many kilograms of water need to be evaporated to turn these brine into brine with a salt content of 50%?
10. A circular fish pond with a circumference of 314m. What is the area of this fish pond?
1 1. A round vegetable field with a diameter of 20 meters. Now, how many square meters of plastic film are needed to cover vegetable fields? If the film price per square meter is 0.5 yuan, how much do these films cost?
12. The outer diameter of the bicycle wheel is 70cm. If the wheels rotate 100 cycles per minute on average, it takes about 25 minutes to get from Wangzhigang Town to Baoying County. How many kilometers is it from Wangzhigang Town to Baoying County?
13. Build a canal with a length of 1800 meters. After five days' work, the repaired canal accounts for13 of the unrepaired canal. According to this schedule, how many days will it take for the canal to be completed?
14, the sixth grade math interest group activity, 3/7 students didn't participate, and then 30 people participated, so 2/3 students didn't participate, how many people were there in the sixth grade? (Consider several calculation methods)
15, 5/6 of the school art group is just 5/8 of the science and technology group. It is known that there are 24 people in the art troupe. How many people are there in the science and technology team of this school?
16, transport a batch of chemical fertilizer 25% first, and then transport 18 tons. At this time, 45% did not ship. How many tons of chemical fertilizer are there?
17. The school enclosed a rectangular vegetable field with a 40-meter-long iron wire (excluding joints). The width of the rectangle is known as 1/4. What is the area of this vegetable field in the school?
18, the speed of the car is 4/7 of the speed of the train. At the same time, two cars drove in opposite directions from two places and met at the midpoint of the distance 15km. How many kilometers has the train traveled?
O(∩_∩)O~ Come on ~!
The answer to the sixth grade math application problem
(A) Fractional application questions
1. There are 25 barrels of water in this water tank.
There are 2 meters left in this steel pipe.
This highway is 99 kilometers long.
There are 49 parts in this batch.
5. Take out 2 1 package twice.
6.9 hours later, the two cars met.
7, a pair of pants 240 yuan
8. There are 72 white rabbits
9. I dug 60 meters in two days, leaving 20 meters.
(B) than the application problem
The area of this rectangle is 32 square centimeters.
The volume of this cuboid is 384 cubic centimeters.
The volume of this cuboid is 384 cubic centimeters.
There are 24 boys.
It turns out that two baskets of fruit have 62 kilograms.
Brown sugar needs 200g, and beans need100g.
This book has 270 pages.
The degrees of these three internal angles are 40, 60 and 80 degrees respectively.
(c) Percentage of application problems
1. The output value this year is 30 million yuan.
2. At this time, there are 440 boxes of apples (originally there were 400 boxes of apples).
3. The original price is 822.40 yuan.
4. Deposit principal 19488+0 yuan.
5. I lost money selling these two clothes 10.
Six or three years ago, my daughter was 20% older than my father.
7, 0.32 tons; 200 tons
8. There are 160 pages left; The best number is 96.
9. The water consumption in the first half of the month was 6,750 tons.
10, the first method obtains more after-tax interest (19.44 yuan; 18. 16 yuan)
1 1, and the interest tax paid is 22.5 yuan.
Need 12, 16 tons of wheat.
(4) The application of circle.
This circle has a diameter of 4cm, a radius of 2cm and an area of12.56cm2..
The area of this lawn is 706.5 square meters; Put 60 pots of flowers (94.2 meters in circumference)
The area of this sector is 3 square centimeters.
The circumference of the front wheel is1.8m..
The area of this path is 75.36 square meters.
Cement pavement covers an area of 640.56 square meters.
The width of the ring is 5 cm.
The distance traveled by the tip of this minute hand is 94.2 cm (it takes 60 minutes for the minute hand to make a revolution, and the distance traveled in 45 minutes is three-quarters of the circumference of the clock face).
The tip of the hour hand sweeps 3.77 meters in one day and sweeps an area of 0.56 square meters.
(5) Application problems
1 * *, 7 lifeguards and 49 tourists.
2, tomatoes 320 square meters, cucumbers 320 square meters, eggplant 160 square meters.
The length of this rectangle is 10 meter, and the width is 4 meters.
4. The lengths of these three sides are 2 1, 28 and 35cm respectively.
The biggest angle in this triangle is 90 degrees, which is a right triangle.
6. Team A needs to be repaired 180m and Team B needs to be repaired 144m.
7. Grade five students make 60 yuan, and grade six students make 100 yuan.
8. Trucks travel 40 kilometers per hour and buses travel 50 kilometers per hour.
9. Its radius is 45 cm.
10, with a bottom area of 0.2 m2.
1 1, it will take about 20 minutes.
12, and the distance traveled by the pen tip in minutes is 62.8 cm.
13, requiring 282.6m long conductor; About 47 wooden stakes will be installed.
14, capable of sprinkling 3 14 square meters.
15, and the lawn area is 1884 square meters.
16. The area of this path is 34.54 square meters.
17, bought 7 50-cent stamps and 9 80-cent stamps.
18, female academicians account for 6%.
19, team b dug for 3 days.
20. This number is 52 (if the number on each digit of this number is X, then the number on the tenth digit is 7-x, then the equation can be listed).
(6) Application problems
1,1* * 9/20m.
2. There are 43 sheep
3. Look at page 60 again
4. Reuse110 kg.
5. Eat 30 Jin the next day.
Sixty-four times, it can be transported 1/2, and 58 tons have been transported.
7. It is planned to save 4 tons compared with September.
8. The area is 432 square meters.
9, 4 kg of water.
10, girls planting trees 125.
1 1, 64 junior high school students
12, distance between two cars 175km.
13, a * * * planted 288 trees.
14,22/15km will be repaired in two weeks.
15, 3/8 kilometers more.
16, I read 36 pages in two days.
17, the third day starts from page 26.
18,3/8 tons yellow sand for shipment.
19, donated by Xiao Wei 14 yuan.
20. It is planned to increase production by 8 million units this year.
(7) Application problems
1, dig another 750m.
5/9 Jin in grade 2.6.
The flour delivered is 300 tons.
There are 7/ 10 kilograms of apples in the second basket.
This barrel of oil used to be 54 kilograms.
6. Team A repaired 40 meters more than Team B.
There are 252 workers in this factory.
There are 600,000 kilograms (60 tons) of apples.
9. The initial A is 72.
10, Xiaofang original 2 1 block.
1 1. There used to be17kg of oil in the barrel.
12. The volume of this cuboid is 1536 cubic centimeters.
13, Xiaohong gives Xiaoming 40 stamps.
14, Wang Huajia left school 1km.
15. On average, each loom weaves every hour 16m.
16, you can walk 7.5 kilometers.
17. This triangular iron sheet is 4/5 meters high.
18, 20 baskets of pears and 30 baskets of apples were sent.
19. The area of this right triangle is 24 square centimeters, and the length of its hypotenuse is 10 centimeters.
20. The area of this rectangle is 147 square meters.
(8) Application problems
The distance between Party A and Party B is1500m.
The actual investment is 240,000 yuan.
The actual production is 2200 units.
There are 24.625 meters left in this line.
The original price of this book is higher than the current price.
On the third day, I read 55 pages.
The water consumption in September is 8 1 ton.
This road is 23.8 kilometers long.
There are 50 computers in Ai Wu primary school.
10, Ai Wu primary school has 75 computers.
1 1, this bag of rice is 15kg.
12, this book has 300 pages.
13, there are 96 white rabbits and grey rabbits.
14, fishing 2600kg all day.
15, this barrel of oil has 50 kilograms.
16, this road is 360 meters long.
17, 80 more than last year.
18. It takes 1/2 hours to type this material.
19. It takes 1/7 hours for Party A and Party B to cooperate to clean the whole classroom.
20. Party A actually completed the task for 6 days (it took 10 days in total, minus 4 days for Party A to leave halfway).
(9) Application problems
1, it takes 8 days for three people to process at the same time.
2. You can also buy 3 erasers (12 pencils =4 erasers, which means 1 eraser =3 pencils).
3. There are 144 parts in this batch.
4, overfulfilled by 20%
5. Reduce the price by 25%
6. The speed of A is 75% of that of B.
7. The actual work efficiency is 25% higher than planned.
8. The weight of coal pile B is 40% lighter than that of coal pile A..
There are 57 students in Class Six (2).
10, answer in two situations (i.e. sales profit rate and cost profit rate):
① If it is 25% of the price and the profit is 100×25%=25, then the cost should be 100-25=75.
When selling 120 yuan, the profit is 120-75=45, so the sales profit rate at this time is 45120 = 37.5%.
② If the cost is 25%: let the cost be X, then (100-X)÷X=25%, and X=80, so the cost is 80. When the selling price is 120, the profit is 120-80=40, so the cost profit rate is 40.
1 1, there are 44 basketballs.
12, this pile of sand has 160 tons.
13, the flour yield of wheat is 65%.
14, the salt content of this brine is 20%.
15, at least 303kg rapeseed is needed.
16, the qualified rate is 98%; Of the 700, 14 failed.
17, 96 yuan can get after-tax interest; You can get back the principal and interest of 1 ***5096 yuan.
18, and teacher Wang's monthly after-tax salary is 1437.5 yuan.
19. The current price of this basketball is1one in 35 yuan, which is cheaper than that in 45 yuan.
Last year's corn output increased by 20% compared with the previous year.
(10) application problems
The original price of this calculator is 80 yuan.
Last year, 2600 kilograms of rice were harvested.
Lost 6 yuan (the cost price of this commodity is 24 yuan); If you want to make a profit of 25%, you should sell it as 30 yuan.
Add 6 kg of salt.
These goods are sold at a 15% discount.
This insurance company has 40 male employees.
This road is 2000 meters long.
This suit is sold at a 10% discount.
760 kilograms of water needs to be evaporated.
10, this fish pond covers an area of 7850 square meters.
1 1, at least 3 14 square meters of membrane is needed, and the cost is 157 yuan.
12, about 5.5km.
13, it takes 10 days to complete the canal.
14, 6, 300 people.
15, 32 people in the science and technology group.
16, this batch of fertilizer has 60 tons.
17. The area of this vegetable field is 64 square meters.
18. At this time, the train traveled 70 kilometers.