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30 interesting math problems (sixth grade)
1. Xiao Xin's home is 290 meters away from her school. One day, he walked 50 meters to school and found that he didn't bring his pencil case. He went home to get the pencil box, and then went to school. How many meters did he walk from home to school this time?

The road from a to b is 384 kilometers long, and two cars leave from both places. Car A travels 38 kilometers per hour, while car B travels 42 kilometers per hour. The A train leaves 64 kilometers before the B train leaves. Two cars will meet in a few hours.

3. Party A and Party B ride bicycles from opposite sides at the same time, with Party A riding bicycles at an hour of18km and Party B riding motorcycles at an hour of 54km. B is 86 from the starting point. Meet the armored forces at 4 kilometers. How many kilometers are the two places apart?

4.AB is 324 kilometers apart. Car A travels from A to B at a speed of 48 kilometers per hour. 1.5 hours later, the B car traveled from B to A at a speed of 36 kilometers per hour. A few hours after the departure of B car, I met A car.

5. A ship sails at the same speed, with the first day sailing 145km, the second day sailing 174km and two days sailing 1 1 hour. How many hours did you sail in two days?

6. Passenger cars and trucks depart from A and B at the same time, with a speed of 80 kilometers per hour and a speed of 68 kilometers per hour. The two cars met at the midpoint of 30 kilometers between the two places. How many kilometers is it between A and B?

7. A car traveled from place A to place B for 6 hours, and the speed of returning from place B to place A was 8 kilometers per hour, resulting in a loss of 1 hour. Find the distance between A and B. The distance between A and B is180km. Two cars A and B leave from A and B at the same time, face to face, and meet two hours later. It is known that the speed ratio of car A and car B is 2: 3. Find the speed of car a ..

8. On the map with the scale of 1: 5000000, the distance between A and B is 2.7 cm. What is the actual distance between a and b? The train travels 80 meters per hour. How long does it take to travel from a to b?

9. Two cars, A and B, are driving in opposite directions at the same time, and A meets B at 3/7 of the whole journey. A travels at a speed of 30 kilometers per hour, and B takes 7 hours to complete the whole journey. Find the distance between AB and other places.

10.A train runs for 7 hours, and B train runs for 5 hours. A train runs more than B train 136 kilometers. If the two trains run at the same speed, how many kilometers will they run?

1 1. It takes 8 hours for passenger ships to go from port A to port B, and 12 hours for cargo ships to go from port B to port A, and the two rounds leave relatively simultaneously. When they met, the passenger ship had traveled 144 km. Find the distance between port a and port b.

12. A plane flew from city A to city B at a speed of 800 kilometers per hour. When I came back, the flight speed slowed down to 700 kilometers per hour, 0.3 hours more than when I went. How many kilometers is it between A and B?

13. The railway length from Nanjing to Beijing 1 157 km. There is a bus from Nanjing to Beijing at 22: 30, with a speed of 68 kilometers per hour. A truck left Beijing for Nanjing on 19. It is known that the two cars meet at 7: 30 the next morning. How many kilometers does the truck travel per hour?

14.—— A student walked back and forth from home to school for 52 minutes, walking 60 meters per minute when he walked, and walking 70 meters per minute when he came back. What is the distance from his home to the school?

15. The distance between Party A and Party B is 484 kilometers. The bus and truck leave from both parties at the same time and meet in 5.5 hours. It is known that the speed ratio of passenger cars and trucks is 6: 5. How many kilometers have the buses traveled when they met?

16. It takes 12 hours for buses to travel from city A to city B, and 15 hours for trucks to travel from city B to city A.. The two cars left two cities at the same time, and the bus was 360 meters away from B city when they met. How many kilometers are the two cities apart?

1. There are 960 students in Dongdajie Primary School, which is 12 times that before liberation. How many students were there in this primary school before liberation?

2. The area of a triangle is 560 square decimeters, the base length is 40 decimeters, and the height is how many decimeters?

A pile of coal used 4.2 tons, and the rest was three times. How many tons is this pile of coal?

4. A basket of apples weighs 45.5 kilograms, but after taking out half of them, it is still 24.5 kilograms. How much does this basket weigh?

5. Use 120 cm long iron wire to form a rectangle. To make it 38 centimeters long, how many centimeters wide?

6. Mother Wang Mai bought 2 kilograms of apples, paid the salesgirl 5 yuan and took them back to 0.6 yuan. How much are apples per kilogram?

7. There are two baskets of peaches with the same number. After taking out 50 peaches from the first basket and 94 peaches from the second basket, the number of peaches in the second basket is 65,438+0. How many peaches are there in each basket?

8. A barrel of oil weighs 50 kilograms. After pouring out 1, the remaining oil is four times the weight of the barrel. What is the net weight of this barrel of oil?

9. If the height of a cube is increased by 2 cm, you will get a cuboid with the same bottom, and its surface area is increased by 96 cm 2 compared with the original cube. How many cubic centimeters is the volume of the original cube?

9. A ship sailed from A to B, and the original planned speed was 20km/h,15h. In fact, I sailed 5 kilometers more than I planned. According to this calculation, how many hours did the ship arrive ahead of schedule?

10. There is 40 kilograms of salt water with a salt content of 25%. How much water does it take to make salt water with 20% salt?

1 1, A and B are 475 kilometers apart, and buses and trucks leave from the two places at the same time. It is known that the speed of trucks is 45 kilometers per hour, and the speed ratio between trucks and buses is 9: 10. How many hours does it take for two cars to meet?

Engineering problems

1. For a project, it takes 15 days for Team A to do it alone, and 20 days for Team B to do it alone. How many days does it take for two teams to work together?

2. It takes 6 hours for Party A to do a job alone, 4 hours for Party B and 3 hours for Party C.. How many hours does it take three people to work together?

3. A pool is equipped with three water pipes, A, B and C. A and B are water inlet pipes and C is water outlet pipe. By opening the first tube, the empty pool can be filled in 2 hours, the second tube can be filled in 3 hours and the third tube can be filled in 4 hours. Three pipes are open at the same time. How long will it take to fill the empty pool?

4. A project can be completed by Party A in 8 days, while Party B can only complete 4/5 of the project in 8 days. If Party A cooperates with Party B, how long will it take to complete the project?

5. Party A will complete a batch of parts within 12 days, and Party B will complete it within 8 days ... Party A and Party B will cooperate for 3 days first, and Party B will complete the rest alone. How many days will it take?

6. The cultural and educational printing house binds a batch of review materials. The master can bind 3/4 in 9 days and the apprentice can bind 5/6 in 20 days. With the cooperation of master and apprentice, how many days can the binding be completed?

7. There is a project. Team a and team b 12 days, team c and team b 20 days, team a and team c 15 days. How many days does it take for Team A, Team B and Team C to work together?

8. For an expressway, if it takes 30 days for Team A to repair it, it will take 5 days for Team B to complete 1/4 of this expressway. After three days of joint repair by team A and team B, the rest was completed by team B alone. How many days will it take to complete the repair?

9. Party A will finish a project in 9 days, and Party B will finish it in 6 days ... After doing it alone for 4 days, B and A will do it together. How many days will it take to complete?

10. A project can be completed in 10 days, with 8 days for both parties and 5 days for Party B alone. How many days will it take if B does this project alone?