What are the required questions in junior high school mathematics? The problems in junior high school mathematics are different from place to place. Let me talk about the compulsory questions in junior high school mathematics in my hometown. I learned this from my teacher. It is said that by observing the interview topics in each district in the past three years, they found that the investigation of mathematical knowledge focused on three aspects:
1, operation skill inspection;
2. Geometrically intuitive observation;
3. Investigation on reasoning and deductive ability.
But no matter which of the above aspects, we should attach importance to basic knowledge and improve comprehensive application ability. Because in the interview, many topics themselves or their backgrounds are closely related to life. This tells us that review should pay attention to combing the basic knowledge.
In addition, in the usual classroom study, we should pay more attention to the mathematical thinking methods taught by teachers. In addition to the general knowledge in schools, all schools will examine error-prone questions and thinking questions.
1. A glass factory consigned 250 boxes of glass, and the contract stipulated that the freight per box was 20 yuan. If the box is damaged, it will not only pay the freight, but also compensate 100 yuan. At the time of settlement after delivery, * * * pays the freight of 4,400 yuan. How many cases of glass are damaged in the consignment?
2. The first and second squadrons of Grade Five are going for a spring outing 20 kilometers away from the school. The first squadron walks 4 kilometers per hour, and the second squadron rides bicycles, traveling every hour 12 kilometers. The first squadron will leave in two hours, and the second squadron will leave again. How many hours will it take the second squadron to catch up with the first squadron?
3. A factory delivered a pile of coal. If you burn 1.500 kg a day, burn it one day in advance. If you burn 1000 kg a day, you will burn one more day than planned. How many kilograms is this pile of coal?
Mom asked Xiaohong to go to the store and buy five pencils and eight exercise books, and gave Xiaohong 3.8 yuan money according to the price. As a result, Xiaohong bought 8 pencils and 5 exercise books and got back 0.45 yuan. How much is a pencil?
5. According to the passenger car is overloaded with freight cars 10, we can find out the number of people who are overloaded with six passenger cars than six freight cars, that is, the number of people who are overloaded with multi-purpose (8-6) freight cars, and then find out how many people are on each freight car and how many people are on each passenger car.
6. A road construction team undertook the task of building roads. It was originally planned to repair 720 meters a day, but it was actually repaired 80 meters more than the original plan, so that the actual repair difference 1200 meters can be completed three days in advance. What is the total length of this highway?
7. A shoe factory produces 1.800 pairs of shoes, which are respectively packed into 1.2 cartons and 4 wooden cases. If there are as many shoes in 3 cartons as in 2 wooden boxes. How many pairs of shoes are there in each carton and wooden box?
8. A construction site brought in a batch of sand and cement, and the number of bags of sand brought in was twice that of cement. Use 30 bags of cement and 40 bags of sand every day. After a few days, all the cement was used up, leaving 120 bags of sand. How many bags of sand and cement are there?
9. The school bought five thermos bottles and 10 teacups, and * * * used 90 yuan money. The price of each thermos is four times that of each teacup. How much is each thermos and teacup?
10. The sum of two numbers is 572, and one of them is 0 of several digits. After removing 0, it is the same as the second addend. What are these two numbers?
Judging from children's learning psychology, if mathematics education is close to children's real life needs, it will certainly stimulate chi