The sixth grade math application problem 1

First, the application of scores.

1, a tank of water, used 1/2 and 5 barrels, with 30% left. How many barrels of water are there in this tank?

2. The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left?

3. After 2/3 of the expressway is completed, it is16.5km away from the midpoint. What is the total length of this highway?

4. The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch?

5. There is a batch of chemical fertilizers in the warehouse, and 2/5 of the total amount was taken out for the first time, and less than 1/3 of the total amount was taken out for the second time. At this time, there are 24 bags left in the warehouse. How many bags are taken out twice?

6. The distance between Party A and Party B is 1 152km. A bus and a truck leave from two places at the same time. Trucks run 72 kilometers per hour, 2/7 faster than buses. How many hours did it take for two cars to meet?

7. A coat is more expensive than a pair of trousers 160 yuan, in which the price of trousers is 3/5 of that of a coat. How much is a pair of trousers?

8. There are 60 black rabbits in the feeding group, and there are more white rabbits than black rabbits 1/5. How many white rabbits are there?

9. The school wants to dig an 80-meter-long sewer. 1/4 was dug on the first day, and 1/2 was dug on the second day. * * How many meters have you dug in two days? How many meters are left?

Sixth grade math application problem 2

Second, the application of comparative law

1. The circumference of a rectangle is 24 cm, and the length-width ratio is 2: 1. How many square centimeters is the area of this rectangle?

2. The sum of sides of a cuboid is 96 cm, and the ratio of length, width and height is 3∶2 ∶ 1. What is the volume of this cuboid?

3. The total length of a cuboid is 96 cm, the height is 4 cm, and the length-width ratio is 3 ∶2. What is the volume of this cuboid?

4. There are 42 computer interest groups in a school, of which the ratio of male to female is 4 ∶3. How many boys are there?

There are two baskets of fruit, and the fruit in basket A weighs 32kg. After taking out 20% from basket B, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit?

6. Make a 600g bean paste bun, and the ratio of flour, red beans and sugar is 3:2: 1. How many grams of flour, red beans and sugar do you need?

7. Xiaoming read a story book. On the first day, he read 1/9 of the book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book?

8. The ratio of the three internal angles of a triangle is 2:3:4. What are the degrees of these three internal angles?

Sixth grade math application problem 3

Third, the percentage of application problems.

1. The output value of a chemical fertilizer plant increased by 20% this year, 5 million yuan more than last year. How much is this year worth?

2. The fruit company stores a batch of apples, and delivers them after selling 30% 160 boxes, which is more than the original apples110. How many boxes of apples are there?

3. The original price of a commodity is 20% less than the current price, and the current price is 1028 yuan. What is the original price?

The interest earned from the education savings is tax-free. Dad saved Xiao Xiao's education savings for three years, with an annual interest rate of 5.40%. Upon maturity, * * * received the principal and interest of 22,646 yuan. What is the principal of the education savings fund that Dad gave Xiao Xiaocun?

5. The clothing store bought two clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money?

6. The father is 43 years old and the daughter is 1 1 year old. A few years ago, my daughter was 20% older than my father.

6, less than 2/5 tons, 20% for () tons, () tons of 30% for 60 tons.

7, a 200-page book, read 20%, and left () pages unread. 40% of the number A is equal to 50% of the number B. The number A is 120 and the number B is ().

8. A factory used 5400 tons of water in the second half of April, saving 20% compared with the first half. How many tons of water were used in the first half of the year?

9. Zhang Ping has 500 yuan money and plans to deposit it in the bank for two years. There are two deposit methods. One is to save it for two years, with an annual interest rate of 2.43%. One is to save it for one year with an annual interest rate of 2.25%. When the first year expires, take out the principal and after-tax interest and deposit it for another year. Which method can I choose to get more after-tax interest?

10. Xiaoli's mother deposited 5,000 yuan in the bank for a year, with an annual interest rate of 2.25%. When withdrawing money, the bank withheld and remitted 20% interest tax. How much interest tax was paid at maturity?

1 1. The flour yield of a wheat is 85%. Grinding 13.6 tons of flour requires this kind of wheat.

Sixth grade math application problem 4

Fourthly, the application of circle.

1. Draw a circle with a perimeter of 12.56 cm, mark the center and radius with letters, and then calculate the area of the circle.

There is a circular lawn in the school. Its diameter is 30 meters. What is the area of this lawn? If you put a pot of chrysanthemums every 1.57 meters around the lawn, how many pots of chrysanthemums should you prepare?

3. The radius of a circle and a sector is equal, the area of the circle is 30 square centimeters, and the central angle of the sector is 36 degrees. Find the area of the sector.

In the distance of 720 meters, the front wheel turns 40 times more than the rear wheel. The circumference of the rear wheel is 2m, so find the circumference of the front wheel.

5. The diameter of the circular flower bed is 10 cm, and there are 2-meter-wide paths around it. What is the area of this path?

6. The school has a circular open space with a diameter of 40 meters. It is planned to build an annular flower bed in the center, and the rest will be paved with 6m wide cement pavement. What is the area of cement pavement?

7. There is a ring. The circumference of the inner circle is 3 1.4 cm, the circumference of the outer circle is 62.8 cm, and what is the width of the ring?

8. The minute hand of the wall clock is 20 cm long. After 45 minutes, how far did the tip of this minute hand move?

9. The hour hand of a big clock is 0.3 meters long. How many meters has the tip of this hour hand traveled in 1 day? How many square meters is the sweeping area?

Sixth grade math application problem 5

1, lifeguards and tourists * * * a total of 56 people, and there is the last lifeguard and seven tourists on each rubber dinghy. How many tourists are there? How many lifeguards are there?

2. Uncle Wang's vegetable field is 800 square meters, ready to grow tomatoes. The rest are planted with cucumber and eggplant according to the area ratio of 2︰ 1. What are the areas of the three vegetables?

Form a rectangle with a 28-meter-long iron wire. The length-width ratio of this rectangle is 5:2. What is the length and width of this rectangle?

4. Form a triangle with 84 cm long iron wire, and the length ratio of three sides of the triangle is 3︰4︰5. How many centimeters are the three sides of this triangle?

5. The ratio of degrees of three internal angles of a triangle is 1︰2︰3. What is the biggest angle in this triangle? What triangle is this triangle?

6. The road team needs to build a 432-meter-long road, which has been repaired. The remaining tasks are divided into two road repair teams according to 5︰4. How many meters do the two road repair teams need to repair?

7. In the activity of "learning from Lei Feng", the students in grade five and grade six did 80 good deeds on average, and the ratio of the number of good deeds in grade five and grade six was 3︰5. How many good deeds did the fifth and sixth grade students do respectively?

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 is 15cm. 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 kilometers will the total length of 1/2 be more?

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?