Who can give me some math application problems in junior middle school! (Medium difficulty is preferred)
1. The multiplication relation is 1. It is known that the number A is more than three times that of B, and the sum of the numbers A and B is 60. Find the number B..2. It is known that A is 5 smaller than B, and A is 65 larger than B. Ask B..3. The output value of a factory this year is three times that of last year, 250,000 less. The total output value of this year and last year was 750,000. Please find out the output value of this factory this year. Second, the percentage problem: 1. A depositor deposited 12000 yuan in the bank for one year and got 12240 yuan when he took it out. Ask the depositor for the kind of interest rate. 2. After the price of a commodity is reduced by 12%, the price is 176 yuan. Find the original price of the goods. 3. Affected by the seasons, within one month, the price of a commodity first rose by 10%, and then fell by 10%. Now the price is 297 yuan. Please ask for the original price of the goods. Third, material distribution: 1, a basket of pears, packed in small boxes after dispersion, 8 boxes were used, and 8kg remained; If 9 boxes are used, the last box can hold 4kg. Find out the quality of this basket of pears. 2. For a school spring outing, if 13 cars are chartered, 14 people have no seats; If you charter another car 1 car, there will be 26 more seats. What's the total number of people for the spring outing? 4. Proportion: 1. In a certain period, the exchange rate between Japanese yen and RMB was 25.2: 1, so how much RMB can 500,000 yen be converted into? 2. The length of a part on the drawing is 32 cm, but the actual length is 4 cm. Then measure the length of another part of the diagram as 12cm, and find the actual length of this part. 3. Someone has planned a salary of 2600 yuan, and the ratio of books, entertainment expenses, family expenses and savings is 1: 3: 5: 4. How much is this person going to spend on leisure and entertainment? V. Distribution: 1. The total number of people in Workshop 1 and Workshop 2 is 150. 1 workers in workshop 15 are transferred to workshop 2, and the number of people in workshop 2 is equal. 2. There are 32 people in Workshop A and 62 people in Workshop B of a factory. Now, 98 new workers have been recruited from outside the factory and assigned to two workshops. How to allocate them so that the number of people in Workshop 2 is three times that of Workshop 1? Sixth, the number problem: 1, the sum of three consecutive even numbers is 360, find these three even numbers. 2. The sum of two digits and ten digits is 10. If the positions of one digit and ten digits are reversed, the new two digits are larger than the original two digits by 18, and the original two digits are found. 3. A five-digit number. If the number in the first place is moved to the last place to get a new five-digit number (for example, this transformation can get 32 14 from 432 1), the new five-digit number is smaller than the original number1106, and the original five-digit number is found. Geometry problem: 1. Forging a cubic iron block with a length of 20cm into a rectangular iron block with a length of 100cm and a width of 5cm, and finding the height of the rectangular iron block. 2. Put the cubic iron block with a side length of 20 cm into the measuring cylinder. It is known that the bottom area of the measuring cylinder is 12cm2. How many centimeters has the water surface in the measuring cylinder increased? Application problem training (2) 1. The multiplication relation is 1, the known number A is more than three times that of the number B, the sum of the two numbers A and B is 60, and the number B. 2 is found. It is known that A is five times smaller than B, and A is 65 times larger than B. Ask B..3. The output value of a factory this year is three times that of last year, which is 250,000 less. The total output value of this year and last year was 750,000. Please find out the output value of this factory this year. Second, the percentage problem: 1. A depositor deposited 12000 yuan in the bank for one year and got 12240 yuan when he took it out. Ask the depositor for the kind of interest rate. 2. After the price of a commodity is reduced by 12%, the price is 176 yuan. Find the original price of the goods. 3. Affected by the seasons, within one month, the price of a commodity first rose by 10%, and then fell by 10%. Now the price is 297 yuan. Please ask for the original price of the goods. Third, material distribution: 1, a basket of pears, packed in small boxes after dispersion, 8 boxes were used, and 8kg remained; If 9 boxes are used, the last box can hold 4kg. Find out the quality of this basket of pears. 2. For a school spring outing, if 13 cars are chartered, 14 people have no seats; If you charter another car 1 car, there will be 26 more seats. What's the total number of people for the spring outing? 4. Proportion: 1. In a certain period, the exchange rate between Japanese yen and RMB was 25.2: 1, so how much RMB can 500,000 yen be converted into? 2. The length of a part on the drawing is 32 cm, but the actual length is 4 cm. Then measure the length of another part of the diagram as 12cm, and find the actual length of this part. 3. Someone has planned a salary of 2600 yuan, and the ratio of books, entertainment expenses, family expenses and savings is 1: 3: 5: 4. How much is this person going to spend on leisure and entertainment? V. Distribution: 1. The total number of people in Workshop 1 and Workshop 2 is 150. 1 workers in workshop 15 are transferred to workshop 2, and the number of people in workshop 2 is equal. 2. There are 32 people in Workshop A and 62 people in Workshop B of a factory. Now, 98 new workers have been recruited from outside the factory and assigned to two workshops. How to allocate them so that the number of people in Workshop 2 is three times that of Workshop 1? Sixth, the number problem: 1, the sum of three consecutive even numbers is 360, find these three even numbers. 2. The sum of two digits and ten digits is 10. If the positions of one digit and ten digits are reversed, the new two digits are larger than the original two digits by 18, and the original two digits are found. 3. A five-digit number. If the number in the first place is moved to the last place to get a new five-digit number (for example, this transformation can get 32 14 from 432 1), the new five-digit number is smaller than the original number1106, and the original five-digit number is found. Geometry problem: 1. Forging a cubic iron block with a length of 20cm into a rectangular iron block with a length of 100cm and a width of 5cm, and finding the height of the rectangular iron block. 2. Put the cubic iron block with a side length of 20 cm into the measuring cylinder. It is known that the bottom area of the measuring cylinder is 12cm2. How many centimeters has the water surface in the measuring cylinder increased?