1 Article 1, a piece of cloth is15m long and1.2m wide. How many faces can be cut out with this cloth for two right-angled pennants with right-angled sides of 4 meters and 3 meters respectively? 2. There is a seven-digit number, which can be divided into three digits and four digits in the middle, but whether it is divided into the first three digits, the last four digits, or the first four digits and the last three digits, the sum of the two digits is always equal. What is the smallest of these seven figures?
3. All three sides are integers. How many triangles have the longest side of 1 1?
Several people are repairing the road. If three people can be transferred, the task can be completed in 20 days. If eight people can be transferred, it will take 10 days to complete the task. Only two people can be transferred now. How many days can the task be completed?
5. Party A and Party B sell apples. On the first day, Party A sells 1 yuan for every three apples and 1 yuan for every two apples. The next day, Party A and Party B sold them together, and every five apples were sold to 2 yuan. It is known that everyone brings the same value of apples every day. All apples are always sold out. If their total income is 120 yuan on the second day, what is their total income on the first day?
6. A rectangle can divide a plane into two parts. How many parts can three rectangles divide a plane into at most? How about ten rectangles?
7. Teachers and students of a school donated 1995 yuan to the disaster area. There are 35 teachers in this school, 14 classes, each class has the same number, with more than 30 students but no more than 45 students. If the average amount of money donated by everyone is an integer, what is the average donation?
8. Class A, Class B and Class C of Grade 5 in bright primary school organized a 14 program literary evening. If each class performs at least three programs, how many kinds of performances are there in these three classes?
9. The bottom of the pool is equipped with a normally open drain pipe, and the top is equipped with a water inlet pipe with the same thickness. Four water inlet pipes are opened, and it takes 5 hours to fill the pool. Two water inlet pipes are opened, and it takes 15 hours to fill the pool. Now it needs to fill the pool in two hours. How many water inlet pipes should be opened at least?
10. Forging a square billet with a side length of 0.6m into a rectangular steel with a cross-sectional area of 0.08m2 How long is the forged steel?
extreme
1, A and B are driving from two places 480 kilometers apart at the same time. A car was traveling at a speed of 45km/h, and a car stopped due to car trouble on the way 1 h. Five hours later, two cars met. How many kilometers per hour is the B train? The distance between a and b is 3300 meters. A and b go in opposite directions at the same time. A walks 82 meters per minute, and B walks 83 meters per minute. It's been 15 minutes. How long will it take to meet?
The two trains, A and B, leave from two places at the same time and travel in opposite directions. It is known that car A travels 45 kilometers per hour and car B travels 32 kilometers per hour. When they met, car A traveled 52 kilometers more than car B ... How many kilometers was there between Party A and Party B?
The two sisters walked 770 meters from home to Children's Palace at the same time. My sister walks 60 meters per minute, and my sister rides her bike to the Children's Palace at a speed of 160 meters per minute and returns immediately. She met her sister on the road. Then my sister walked for a few minutes. (200 1 Shanghai Jinshan District Upgrade Examination Paper)
Xiao Ming and Xiao Hua set out from A and B at the same time and went in opposite directions. Xiaoming walks 60 meters every minute, Xiaohua rides a bike 190 meters every minute, and they meet at a distance of 650 meters in a few minutes?
6.a and B are 300 kilometers apart, and two cars start from both places at the same time and drive in opposite directions. They returned immediately after they arrived at their destination. Eight hours later, they met again. It is known that car A travels 45 kilometers per hour. How many kilometers does bus B travel per hour?
7. The four tour groups A, B, C and D have 69 tourists, 85 tourists, 93 tourists and 97 tourists respectively. Now the four tour groups should be organized separately, so that one person in each group can go sightseeing by car. It is known that after the three groups of A, B and C are divided into several groups of A people in each group, the remaining number is the same. Then, after each group of A people is divided into several groups, how many people will win the Ding Tour Group?
8. There are the same number of balls in five boxes. If you take out 60 balls from each box, the remaining balls in five boxes are equivalent to the number of balls in the original two boxes. How many balls are there in each box?
9. A train is 200 meters long. It passes through a 200-meter-long tunnel at a speed of 10 meter per second. How many seconds does it take to enter the tunnel from the front and leave the tunnel from the back?
10, a person walks 5 kilometers per hour. It takes 8 minutes less to ride a bike than to walk every 1 km. What's the speed of cycling?