1, the perimeters of a rectangle and a circle are equal. It is known that the length of a rectangle is 10 cm and the width is 5.7 cm. What is the area of a circle?
2. Sanxin Village carried out afforestation activities, and five people planted 90 trees in three days. According to this calculation, how many trees will 30 people plant in three days?
Two trains, A and B, leave from two places 500 kilometers apart at the same time. Four hours later, they still haven't met each other 20 kilometers apart. It is known that the speed of train A is 65 kilometers per hour, and how many kilometers per hour is train B?
4. Teacher Wang receives the manuscript fee 1500 yuan. After deducting 800 yuan according to regulations, he has to pay 20% personal income tax. How much should Teacher Wang receive after paying personal income tax?
Xiaoming read a story book. On the first day, he read 24 pages, accounting for 37.5% of the book. The next day, how many pages were left unread?
6. To produce a batch of parts, Party A can manufacture 18 pieces per hour, and Party B needs 12 hours to complete it alone. Now Party A and Party B are cooperating. When the task is completed, the proportion of parts produced by Party A is 3:5. How many parts does Party A produce?
1, only comprehensive formulas or equations are listed and not calculated. (3×3=9 points) ① The machinery factory has produced 8700 threshers, which have been produced for 12 days, and 500 threshers are produced every day, and the remaining three days will be completed. How many threshers are produced on average every day?
②A and B cars leave from two places 464 kilometers apart at the same time. 3.2 hours later, they met on the road. It is known that the speed of car A is 69 kilometers per hour, and how many kilometers per hour is car B?
There are 378 students in this school this year, which is more than last semester 18, an increase of a few percent?
2. Solve the following problems (6 points for the third question, 5 points for the other party, 3 1 point).
① The forest farm planted 4,200 trees last year, which is more than last year 1/6. How many trees will be planted this year?
(2) Xiaoli read a story book with 168 pages, and read 96 pages in the first 4 days. According to this calculation, how many days will it take to finish reading this book?
(3) Master Wang rolled a cylindrical barrel without a lid with iron sheet. The diameter of the bottom is 6 decimeters and the height is 8.5 decimeters. How many square decimetres of iron sheet does it take to make this oil drum? How many liters of water can this oil drum hold? (For the above two questions, keep the whole number according to the actual situation. )
④ There are more sixth-grade students in a school than third-grade students 12, which is 6/5 of the sixth grade. How many students are there in each grade?
⑤ Teacher Zhang deposits 5000 yuan in the bank regularly for three years. If the annual interest rate is 3.24%, how much principal and interest should he get at maturity? (Interest tax is calculated at 5%)
⑥ Two cars, A and B, carry a batch of cement. Upon completion, 7/ 15 of the total will be transported by car a, and the tonnage ratio of car b to car a is 1: 2. How many tons is this batch of cement?
1, the following questions are only listed and not calculated. (9 points)
(1) A cylindrical can with a height of 3 decimeters and a bottom radius of 0.8 decimeters is covered with trademark paper. What is the area of the trademark paper?
(2) The school assigned a number of tree planting tasks to the fourth, fifth and sixth grades according to 3: 4: 5, and planted 40 trees in the fifth grade. How many trees are there in this batch?
(3) Grade 5 boys 120, more than girls. How many girls are there in the fifth grade?
2. The construction team will dig ditches, and it is planned to dig 100 meters every day, which will be completed in 24 days. In fact, it was finished four days ahead of schedule. How many meters are actually dug every day? (3 points)
3. A car traveled from A to B three hours ago 156 km. At this speed, it takes 8 hours to get from A to B. How many kilometers is there between A and B? (5 points) (with proportional solution)
4. A school uniform 54 yuan, in which the price of trousers is 4/5 of that of coat. What are the prices of coat and trousers? (4 points)
5. To build a road, it takes four days for the first construction team and six days for the second construction team. If the two teams repair together, how many days can the road be completed? (4 points)
6. On the map with the scale of1:4,000,000, the distance between A and B is 20 cm, and two trains start from A and B at the same time. The speed of A train is 55 kilometers per hour and that of B train is 45 kilometers per hour. They will meet in a few hours. (5 points)
7. A conical rice pile, with a bottom radius of 1 m and a height of 1.5 m, weighs about 600 kg per cubic meter of rice. How many kilograms does this study pile weigh? (6 points)
1. Du Juan's mother deposited 50,000 yuan in the bank for three years, with an annual interest rate of 3.24%. How much principal and interest can I get after maturity?
2. The first group 10 people, the second group of 8 people. The two groups collected 65,438+02kg of waste paper. How many kilograms did the first group collect less than the second group?
The area of a triangular piece of land is 700 square meters. If its bottom is 35 meters, how many meters is its height?
A bus and a minibus go from Beijing to Shanghai at the same time. The bus travels 80 kilometers per hour, which is the speed of the bus. How many kilometers does the minibus travel per hour?
5. A rectangular paper box, 5 centimetres long, 3 centimetres wide and 2 centimetres high. How many square decimetres of cardboard do you need to make this rectangular box? How many cubic decimeters can it hold at most? (excluding the thickness of hard paper)