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? 1. In a basketball and volleyball match, * * * there are 48 teams with 520 athletes, including basketball team 10 and volleyball team 12. How many teams are there in basketball and volleyball?
2. A factory bought 56 tons of materials A and B, which cost 9860 yuan. If material A is per ton 190 yuan, and material B is per ton 160 yuan, how many tons will each of the two materials be bought?
3. Someone bought two stocks, A and B, for 24,000 yuan, and sold them when A stock appreciated 15% and B stock fell 10%, making a profit 1350 yuan. How much did someone buy?
4. There are two kinds of bonds, A and B, with annual interest rates of 65,438+00% and 65,438+02% respectively. The existing 400 yuan bonds will be profitable in 45 yuan after one year. How much are the two bonds?
5. There are three kinds of beverage packages, 1 medium bottle is 20 cents cheaper than 2 small bottles, 1 large bottle is 40 cents more expensive than 1 medium bottle and 1 small bottle, and 1 large, medium and small bottles will cost 60 cents in 9 yuan. How much is each bottle of three kinds of packaged drinks?
6. A class of students went to Beishan for an outing, 18km. There is only one car, so it needs to be divided into two groups. Group A takes the bus first, and Group B walks. When the bus arrives at A, Group A gets off and walks, and the bus returns to Group B. Finally, the two groups arrive at Beishan Station at the same time. Given the speed of 60 km/h and the walking speed of 4 km/h, find the distance from point A to Beishan Station.
7. First-year students go to the restaurant for a meeting. If every four people sit on a bench, 28 people have no place to sit. If six people are sitting on a bench, find out the number of first-year students and benches.
8. Two trains leave from two places facing each other at the same time, 9 10 km apart, and meet after 10 hour. If the first train leaves 4 hours and 20 minutes earlier than the second train, then meet after the second train leaves 8 hours and find the speed of the two trains.
9. Buy A-class books 10, B-class books 16 * * * Pay 4 10 yuan. Books of Class A are more expensive than books of Class B 15 yuan. How much do you want to buy a and b books?
10. Both parties set out from both parties at the same time, and the first meeting was 50 meters away from the midpoint. When they arrived at Party B and Party A, they immediately turned back. So, they met for the second time at a distance of 0/00 meters from Party A/KLOC-to find the distance between Party A and Party B. ..
1 1. An engineering vehicle loads cement poles from the warehouse and transports them to the roadside only 1000 meters away from the warehouse. It is required to install a pole every 100 meters on one side of the highway. It is known that the engineering vehicle can only transport four poles at a time, and it is required to complete the transportation task of 18 poles and transport them back to the warehouse. If the fuel consumption of an engineering vehicle is m liters per kilometer (the fuel consumption is only related to the driving distance) and the gasoline is n yuan per liter, seek the lowest fuel consumption to complete this task.
12. A family had a balance of 5,000 yuan the year before and 9,500 yuan last year. It is known that income increased 15% and expenditure decreased 10% last year. What was the income and expenditure of this family last year?
13. Someone renovated the house, and the original budget was 25,000. During the renovation, the material cost decreased by 20%, the salary increased by 10%, and the actual cost was 2 1500 yuan. What is the cost and salary of raw materials?
14. In a certain unit, two people, Party A and Party B, received 9000 yuan in cash last year and 12700 yuan this year. It is known that A's cash will increase by 50% and B's by 30% this year. What is their cash this year?
15. Some students live in the dormitory. If there are 4 people in each room, that's 20 people. If there are 8 people in each room, one room will be empty and not satisfied. How many dormitories and students are there?
16. A transportation company has two kinds of trucks, two big carts and three small carts can transport 15.5 tons, five big carts and six small carts can transport 35 tons, and the customer king has 52 tons of goods. It is required to transport the goods in the same number of trucks at one time. How many big trucks and small trucks do you need?
17. If the correspondent wants to arrive at a certain place within the specified time, he can walk15km every hour and then arrive at a certain place 24 minutes in advance; If you walk 12 kilometers per hour, you will be late 15 minutes. How many kilometers does it take for a reporter to reach a certain place? And how many hours was the initial time?
18. At present, it is planned to transport Class I goods 1240T and Class I goods 880T to a certain place by freight train. It is known that this freight train has 40 carriages of A and B specifications, and the cost of using the A-type carriage is 6,000 yuan each, and the cost of using the B-type carriage is 8,000 yuan each.
1) The total cost of transporting this batch of goods is 10000 yuan. The truck is connected with the X section of Type A vehicle. Try to write the relationship between x and y. ..
2) If each A-type car can armor 35T Class A goods or 15T Class B goods at most, and each B-type car can armor 25T Class B goods or 35T Class B goods at most, how many schemes are there to arrange cars according to this requirement?
3) Which of the above schemes has the lowest cost? What's the lowest freight?
19. It takes 1.5h for a classmate to walk at school and take the bus after school. If he goes to school, he goes to school by bus, and it takes only 0.5h hours to walk. How many hours does it take for the whole round trip?
20. An express train is 306 meters long and a local train is 344 meters long. The two trains run in opposite directions, and the time from meeting to leaving is 13 seconds. If they run in the same direction, the express train will take 65 seconds to catch up with the local train. What's the speed of the local train?
2 1. The whole journey from A to B is 3.3KM, including uphill, flat road and downhill. If the uphill journey is 3 kilometers per hour, the flat road journey is 4 kilometers per hour, and the downhill journey is 5 kilometers per hour, it takes 5 1 minute from A to B and 53.4 minutes from B to A.
22. Xiaoming and Xiaoli were born in199865438+February. Their birthdays are not one day, but all Friday. Xiaoming was born earlier than Xiaoli. The sum of their birth dates is 22, so what is Xiaoli's birth date?
23. A square table consists of 65,438+0 desktops and 4 legs. If 1 m3 of wood can be used to make 5 desktops or 30 legs of a square table, and now there are 25 m3 of wood, how many wooden legs can be used to make a square table? How many square tables can you make?
24. A group of students went to plant trees. If each race has planted four trees, there are still three seedlings left: if each race has planted five trees, there will be five fewer trees, so that the number of people and seedlings can be calculated.
25. The temperature s at h(M) above the ground has the following relationship: t=-kh+s, the temperature t at 200M on the side of the current weather balloon is 8.4℃, and the temperature t at 500M above the ground is 6℃. Find K. S and calculate the temperature above the ground1500m.
26. Four horses, six cows, * * * price 48 liang, three horses, five cows, * * * price 38 liang. Find the unit price of cattle and horses
27. There is a high-speed wind belt at the height of 10km above the ground. Suppose there are two planes flying at the same speed in this wind belt. One of them took 6.5 hours from a to b; At the same time, another plane took 5.2 hours from B to A, and the distance from A to B is known to be 4000km. What is the average speed of aircraft and wind (accurate to 1km/)
28. If Party A and Party B complete a project in 6 days, the manufacturer needs to pay Party A and Party B ***8700 yuan; Team A and Team C 10 days to complete, and the manufacturer needs to pay Team A and Team C * * * 9500 yuan; Team A and Team C jointly completed two-thirds of the whole project in five days, and the manufacturer had to pay Team A and Team C * * * 5500 yuan. Now the manufacturer requires that all projects be completed within 15 days. Which team can complete the project alone at the least cost? !
29. The lengths of the express train and the local train are180m and 225m respectively. If driving in the same direction, it takes 8 1s to catch up with the local train from the express train to completely exceed it. If the speed of the express train and the local train are x m/s and y m/s, respectively, the equation representing the equivalent relationship is
30. The students go for a spring outing. If they rent eight cars, then 20 students have no seats. If you rent 9 cars, then one car has 20 seats. Assuming that the specifications of the carriages are the same, how many seats and students are there in each carriage?
3 1. A part can be manufactured by machine or by hand. If 1 person uses the machine and 3 people use their hands, 65 parts can be manufactured at a time; If two people use the machine and two people use it by hand, 90 parts can be made every quarter. Ask three people how many parts a machine can make each quarter, manually 1 person.
32. A junior high school student went to the Martyrs Cemetery to sweep the grave. If there are 35 students in each car, 16 students have no seats. If there are 52 students in each car, one car is empty. How many cars and students are there?
33. The first batch of two goods shipped to a certain place, 360 tons, just loaded six railway cars plus 15. How many tons are loaded on average in each train car and every two cars?
34. A furniture factory produces a square table design, which can make 60 tables or 360 legs with 1 m3 of wood. There are 20 cubic meters of wood now. How to distribute the legs of the table so that the wood used can match each other, and how many square tables can be produced? A square table has a table top and four legs.
35. There is a plane flying between A and B. Due to the influence of wind speed, it takes four hours to arrive and five hours to return. It is known that the distance between A and B is 1000 km. What is the wind speed?
36. Two trains are running on parallel tracks, with the express train length 168m and the local train length 184m. If they drive in the opposite direction, it takes 4 seconds from meeting to leaving, just like driving in the same direction, and it takes 16s from catching the local train to leaving. Find the speed of two trains.
37. There are 1 0 coins with 1 dime, 5-dime and1coin, of which 15 coins are taken out and added up to 7 yuan. 1, 5, 1 yuan How many coins are there?
On Arbor Day, a student went to plant trees. If there were no six trees, he could only complete three-quarters of the original planned tree planting task. If everyone increases the tree planting rate by 50%, he can plant 40 more trees than originally planned, so that the number of people participating in tree planting and the number of trees originally planned can be made clear.
39. The flood relief team has 28 people in Bid A and 65,438+05 people in Bid B. Now, 29 people have been transferred to Bid A and Bid B. After deployment, the number of people in Bid A is twice that of Bid B. Therefore, the number of people transferred to Bid A and Bid B is respectively
40. The distance between A and B is 120km. A starts from a to b and b starts from b to a at the same time. Two hours later, they met on the road. After meeting, A and B moved on. When A reaches B, B reaches the key points of A and B, and find the speed of A and B..
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