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Types of Mathematics Application Questions in Primary Schools (Beijing Normal University Edition)
1.a The ship sailed at a speed of 20 kilometers per hour and arrived at B in 8 hours. When I came back, it was slower than before because of the headwind 1/5. How many hours did you sail back?

There are 36 people reading books in the school library, and girls account for 4/5 of the boys. Later, several girls came. Now the number of girls accounts for 3/4 of the total number. Then some girls came.

3. Party A * * * has 2000 yuan. Party A gives half to Party B, and then Party B gives its own 1/3 to Party A, and then Party A gives its own 1/4 to Party B. At this time, Party B has more 650 yuan than Party A. How much did they have at first?

4. A factory has 1300 workers. If you transfer 1/8 male employees and recruit 500 female employees, it means that the number of male employees and female employees is equal. Q: How many people are employed in this factory?

5. The number of school chorus and dance team is equal. The number of boys in the chorus is equal to 1/3 of the number of girls in the dance team, and the number of boys in the dance team is equal to 1/4 of the number of girls in the chorus. What's the number of girls in the chorus?

6. A basket of eggs was divided among several people. The first person took 1 egg and the remaining 1/9, the second person took 2 eggs and the remaining 1/9, and the third person took 3 eggs and the remaining 1/9. ............................................................................

7. A factory plans to produce a batch of parts, the first planned completion 1/2, the second completion of 3/7 and the third completion of 450. The result exceeds the planned 1/4. How many parts are planned to be produced?

8. Red Star Primary School completed three-eighths of the plan on the first day, the remaining two-thirds on the second day, and planted 495 trees on the third day. It turned out to be a quarter more than planned. How many trees were planned to be planted?

9. The garment factory should process a batch of garments. The first workshop and the second workshop were processed at the same time for 60 days, which has just been completed. It is known that the clothing processed in the first workshop accounts for 45% of the total clothing, and the second workshop processes 132 pieces every day. How many pieces are processed in the first workshop every day?

10. The number of male workers in the workshop is twice that of female workers. If 2 1 male employees are excluded, the number of female employees is twice that of male employees. How many women workers are there in this workshop?

165438+

12. It takes 3 hours for Party A and 5 hours for Party B to process a batch of parts. Party A produces 18 pieces per hour more than per hour. How many parts are there in this batch? (Answer in two ways)

13. There are two baskets of fruit, and the weight of fruit in basket A is 2\3 (that is, 2/3, marked with ~) of that in basket B.. Now basket A has sold 2 1 kg, basket B has sold 5\8 kg, and the remaining weights of the two baskets are equal. How many kilograms is the original fruit in basket B?

14. There are two water pipes A and B, and water is injected into two pools with the same size at the same time. At the same time, the water injection ratio of A and B is 7: 5. After 2+ 1/3 hours, the sum of the water injected into A and B is just a pool. At this time, the water injection rate of pipe A and pipe B increased by 25% and 25% respectively.

15. The express train departs from Station A to bilibili at a speed of 60 km/h. 1.5h later, the local train departs from bilibili at a speed of 40 km/h. When the two cars meet, the intersection point is 70km away from the midpoint of the two stations. How many kilometers are the two stations apart?

1. The store bought a batch of toothbrushes with a wholesale price of 0.35 yuan and a retail price of 0.40 yuan. When the remaining 200 toothbrushes are sold, excluding all the purchase costs, the profit is 100 yuan. How many toothbrushes did the shop buy?

2. An engineering team contracted the installation of water pipes. It was originally planned to install 0.48km every day and complete it in 35 days. In fact, it installs 0.6 kilometers every day. How many days did it actually take?

3. A classroom is 9 meters long and 7 meters wide. The floor is tiled and the side is 0.6 meters long. * * * How many tiles are needed?

4. Taxis in a city start at 2km, and the starting price is 3 yuan, which is more than 2km. Every kilometer 1.2 yuan. Aunt Zhao took a taxi from home to the park, and handed it in 10.2 yuan when she got off. How far is her home from the park?

5. The distance between Party A and Party B is 740 meters, and there are two trains from both places at the same time. After five hours of meeting, car A runs 72 kilometers per hour, and how many kilometers does car B run per hour?

6. The children took 10 yuan to buy stationery, each pencil 1.2 yuan, each exercise book 0.7 yuan and each colored paper 0.2 yuan. The child bought five pencils, and the rest of the money was used to buy colored paper, and he could also buy some colored paper?

7. A car travels 40 kilometers on average in the first two hours, and 43.5 kilometers and 44.5 kilometers respectively in the last two hours. How many kilometers does this car average per hour?

There are 340 peach trees and pear trees in the orchard, and the number of pear trees is 20 times more than that of peach trees. How many peach and pear trees are there in the orchard?

9. dig a canal. On the map with the scale of 1/300, the length of this canal is 10 cm. What is the actual distance of this canal?

10. On the traffic map, four centimeters stands for Village A and Village B, which are 8 kilometers apart. Find out the scale of this map.

1. Every 100 meters,/warehouse kloc-0/to warehouse 6 1 has 40 tons in stock, warehouse 2 has 30 tons, warehouse 5 has 50 tons, and the other three warehouses are empty. Now, if you want to concentrate the goods in one warehouse, which warehouse needs 0.5 miles 1 km per ton?

1 warehouse: (30× 0.1× 0.5)+(50× 0.2× 0.5) = 6.5.

2 Warehouse: (40× 0.1× 0.5)+(50× 0./kloc-0 /× 0.5) = 4.5.

3 Warehouse: (40× 0.2× 0.5)+(30× 0.1× 0.5) = 5.5.

4 Warehouse: (40× 0.3× 0.5)+(30× 0.2× 0.5)+(50× 0.1× 0.5) =1.5.

5 Warehouse: (40× 0.4× 0.5)+(30× 0.3× 0.5)+(50× 0.2× 0.5) =17.5.

6 Warehouse: (40× 0.5× 0.5)+(30× 0.4× 0.5)+(50× 0.3× 0.5) = 23.5.

Then warehouse 2 has the least freight.

2. A store that buys sugar costs 95 kilograms for a bag of white sugar and 45 kilograms for a bag of brown sugar. After selling the same amount, the weight of the remaining white sugar is five times that of brown sugar. How many kilograms did each of you sell?

30 kilograms.

Suppose it sells for x kilograms.

(95-x) divided by (45-x)=5.

From home to school, Xiao Ming began to walk for 4 minutes at a speed of 60 meters per minute. If he keeps walking like this, he will be three minutes late. If you walk 70 meters per minute, you can get to school 7 minutes earlier. How far is his home from school?

4440 meters

A hall with an area of 96 square meters is paved with bricks. When using square bricks with a side length of 4 decimeters, you must add 5% consumption when buying them. How many square bricks should you buy at least?

The first unit: 4 decimeters =0.4 meters.

The area of the first floor is 0.4×0.4=0. 16 (square meter).

The number of bricks required for bricklaying is 96÷0. 16=600 (blocks).

According to "5% consumption must be added when purchasing", we can know that:

Buy 5% more on the basis of the required number of blocks.

Namely: 600×( 1+5%)=630 (block)

5. In Yongxin Primary School, the ratio of qualified people to unqualified people is 3: 5. Later, 60 students reached the standard. At this time, the number of people meeting the standards is 9/ 1 1. How many people are there in Yongxin Primary School?

3/(3+5)= 3/8 of the total number of people who started to meet the standards.

Later, 9/(9+ 1 1)=9/20.

So the total number of people is

60/(9/20-3/8)=800

6. Master Wang delivered 80 thermos bottles, each with a freight of 1.2 yuan. If it breaks down halfway, not only will there be no freight, but 7.6 yuan will also be compensated. Finally, Master Wang's freight is 78.4 yuan. How many did he break on the way?

Equation 80 *1.2 = 96 7.6+1.2 = 8.8.

96-78.4= 17.6 17.6/8.8=2

Commentary: If it doesn't break, you can take 96 yuan. Breaking one is equivalent to paying 8.8 yuan, and finally paying 17.6 yuan, so you broke two.

7. Three businessmen bought a batch of goods together. The amount paid by Party A is 1/2 of the sum of Party B and Party C, while that paid by Party B is 2/3 of the sum of Party A and Party C, and that paid by Party C is 160 yuan. How much is this shipment?

Suppose A pays X yuan and B pays Y yuan.

X= 1/2(Y+ 160)

Y=2/3(X+ 160)

X=200,Y=240。

200+240+ 160=600 yuan.

This shipment is from 600 yuan.

8. Passenger cars and trucks leave from A and B relatively simultaneously. When they met, the ratio of the distance traveled by passengers and trucks was 5: 4. After the meeting, the truck travels 13.5 km more than before, and the bus still travels at the original speed. As a result, the two cars arrived at each other's departure station at the same time. Known bus travel 10 hour. How many kilometers is it between Party A and Party B?

Because when they meet, the ratio of the distance traveled by passengers and trucks is 5: 4, so the speed ratio of the two cars is also 5: 4, because they start at the same time.

If the speed of the bus is 5x and the original speed of the truck is 4x, the travel time when they meet is set to one hour.

5xa+4xa=5x* 10

a=50/9

Also, because the speed of the truck after the accident is 13.5 km, the speed of the truck is (4x+ 13.5) km. Because the bus took 10 hour, the truck also took 10 hour, and the meeting car took 50/9 hours, so the truck covered the distance when the bus met. This distance is equal to the distance traveled by the bus when they met. The calculation method is: speed * time = distance (4x+13.5) * (10-50/90) = 5x * 50/9.

x=6

So the speed of the bus is 30 kilometers per hour, and the total distance =5x* 10=300.

So the distance between the two places is 300 kilometers.

9. The knitting group can make flower baskets, and 30 people can make 10 flowers in a day. According to this calculation, how many days does it take for 60 people to weave 9000 flower baskets?

1500/(30* 10)=5 One person calls five times a day (60*5*x)=9000 x=30.

10. The distance between A and B is 475 kilometers. The truck travels from place A to place B at a speed of 35 kilometers per hour. Five hours later, the bus traveled from B to A, and four hours later, the two cars met. How many kilometers does this bus travel per hour?

When the bus started, the truck had already left: 35 * 5 = 175km.

The last two * * * left: 475- 175=300 kilometers.

The sum of the speeds of the two cars is: 300/4 = 75 km/h.

Bus speed: 75-35 = 40km/h.

1 1. One class 125 students, 58 students will skate, 84 students will swim, 2 1 students can neither skate nor swim, how many students can both skate and swim? How many people can only swim but not skate?

125-2 1= 104

58+84= 142

142- 104=38 people will encounter it.

84-38 = 46 people can only swim but not skate.

12. The length of Yangpu Bridge is1176m, and the length of nanpu bridge Bridge is 846m.

(1) What is the length of the main bridge in nanpu bridge?

(2) How much longer is the main bridge of Yangpu Bridge than that of nanpu bridge?

1)846/ 1 176= 14 1/ 196

(2)( 1 176-846)/846=55/ 14 1

13. A barrel is full of oil. Take out half of the total amount for the first time, which is less than 1 kg. The second time, the remaining half was more than 3 kg, and there were 5 kg left in the bucket. How many kilograms of oil was originally contained in the barrel?

Solution:

Student: At first, there were X kilograms of oil in this bucket.

Oil taken out for the first time: X/2- 1

Oil taken out for the second time: [X-(X/2- 1)]/2+3=X/4+7/2.

Remaining oil: 5

Then it is: (x/2-1)+(x/4+7/2)+5 = X.

Solution: X=30 (kg)

A: The original barrel contained 30 kilograms of oil.

14. Put water with a depth of 2 cm into a cuboid water tank with a length of 5 cm, a width of 4 cm and a height of 3 cm. A cubic iron block with a side length of 1 decimeter is completely immersed in water. How many decimeters can the water surface rise?

The volume of cubic iron block is

/kloc-0 /×/kloc-0 /×1=1cubic decimeter.

The bottom area of cuboid water tank is

5× 4 = 20 square decimeter

The water level will rise.

120 = 0.05 decimeter

The water surface can rise to

2+0.05 = 2.05 decimeter

15. Open one key `Now there are 10 keys and 10 keys `I can try to open them all several times at most'.

The first lock may have to be tried at most 10 times, and the second lock may have to be tried at most 9 times. . .

Then the total * * * may be 10+9+8+ at most. . . + 1=55