2/ 1+3/2=?
8/5-6/ 1=?
5/3+7/2=?
6/7-8/3=?
9/8-6/5+3/ 1=?
3/2-6/3+5/2-4/3=?
8/5-7/3+9/2+3/ 1=?
( 1)
1.3.375+5.75+2.25+6.625
2.72 ÷9
3. 100 1-9036÷ 18
4.3.8×5.25+ 14.5
5.
6.
7.50 minus 12.5, divided by 2.5, what is the quotient?
8. The sum of 6 times of a certain number and 4 is equal to 19.25. Find a number. (Equation solution)
(2)
1. 15.36-3
2.2. 1×4.3+5.7×2. 1
3.(
4. 102×45-328
5.2.8×3. 1+ 17.6÷8
6. 19.2 minus the sum of 8.5 and 4.3, what's the difference?
7. 30% of a number is 6 and less than 18. Find this number.
(Equation solution)
(3)
1.6 1 10×47+639
2.3.5×2.7-52.2÷ 18
3. 18
4.3.375×0.97+0.97×6.625
5.(2
6. What is the quotient after subtracting the product of 2 and 1 and dividing it by 5?
7. A certain number is greater than 70, 10. How do you find a number?
(Equation solution)
(4)
1.6.54+2.4+3.46+0.6
2.95.6× 1.8+95.6×8.2
3.600-420÷ 12
7.344÷3.6-5.4×0.25
4.(2
5. 15.6÷[ 16×(0.25+0. 125)]
6. What is the quotient of158 minus 80 divided by 13?
7.7.5 If you subtract a number, the difference is 6. Find this number. (Equation solution)
(5)
1.300 1- 1998
2.3.9+
3.5000- 105×34
4.0. 15÷0.25+0.75× 1.2
5.( )×0.24
6.309 divided by the sum of 4 1.25 and 5.75, what is the quotient?
7. A number plus 1.2 equals 10. Find this number. (Equation solution)
(6)
1.
2.(25+ )×4
3.300-4263÷2 1
4.0.8 1÷0.25+5.96
5.
6.2.6- 1÷( )×
7. What is the quotient of the sum of five divided by the sum?
8. A number is 4.5 more than yourself. Find this number. (Equation solution)
(7)
1. 12
2.6.6+2
3. 1.8×3
4.403÷ 13×27
5. 1.5×4.2-0.75÷0.25
What's the difference between six MINUS three? 54 and divide by 0.5?
7. The sum of 65% of a number is 1.5. Find this number. (Equation solution)
(8)
1. 14
2.3.27×4 +3.27×5.7
3.
4.( 1.2+ )×4.5÷
5. 1025-768÷32
6.0.25×80-0.45÷0.9
7. What is the product of the number 13 greater than 47 times 5 minus 4.25?
8. The difference between 3 times a number minus 4.5 is 1.5. Find this number. (Equation solution)
(9)
1.0.25×2.69×4
2.4. 125×
3.2348+275× 16
4.
5.2.4+2.4×(5.375-3.375)
6.( 1
7. A number 2.4 less than a number is 1.8. Find this number. (Equation solution)
Name _ _ _ _ Student ID _ _ _ _
8.4.5 Subtract the product of 1.5 times 2.5. What's the difference?
( 10)
1.645-45× 12
2.(
3.0. 15+ 1.2÷0.24-0.45
4.3.75-(2.35+0.25÷ 1.25)
5.76× +23×25%+0.25
6. 10-2.87-7. 13
7.0.96+9.6×9.9
What's the difference between 8.7.5 and 5.7?
9. 40% of a number minus 9.6 equals 6.4. Find this number. (Equation solution)
( 1 1)
1. 12.37-3.25-6.75
2. 16×6.8+2.2× 16+ 16
3.40 1× 19+284
4.58.7- 16.65÷3.7
5.0.4×4.7×2.5+(2.3+5.3)
What is the sum of quotient of 6? 3.6 divided by 2.5 plus 12. 1?
7. 0.4 of a number is 0.5 more than 0.9. Find this number. (Equation solution)
( 12)
1.9.3 1- 1. 125-7.875
2.( )× 18
3.640+ 128×45
4.8.2× 1.6-0.336÷4.2
5.(
6.
What is the product of 400 times the sum of 7.0.62 and 0.08?
8. 2.5 times of a number is equal to the sum of 37 and 8. Find this number. (Equation solution)
1. Application of area calculation of parallelogram, triangle and trapezoid.
1, PLA soldiers reclaimed a parallelogram vegetable field. Its bottom is 24 meters and its height is 16 meters. What is the area of this land?
2. Trapezoidal wheat experimental field with an upper bottom of 86m, a lower bottom134m and a height of 60m. How many square meters is its area? How many hectares?
3. Triangular land with a bottom height of 358m and a height of 160m. What is the area of this land? How many hectares?
Second, summarize the application questions
1. The People's Liberation Army Transportation Company transports a batch of coal. If each truck is loaded with 4.5 tons, it will take 16 cars to transport it at one time. If each truck is loaded with 6 tons, how many cars will it take to transport it all at once?
2. Students put flowers, each with 9 pots, which requires 36 people; If 18 people want to put it, how many pots should each person put?
Third, the application of three-step calculation method
Taiyanggou Primary School held a math knowledge contest. There are 60 participants in the third grade and 45 participants in the fourth grade. The number of participants in the fifth grade is twice that in the fourth grade. How many people took part in the competition in the third grade?
Fourth, meet the application problems
1, Zhang Ming and Li Hong set out from two places at the same time, facing each other. Zhang Ming walks 50 meters per minute and Li Hong walks 40 meters per minute. 12 minutes later, they met. How many meters are they apart?
2. The distance between Party A and Party B is 255km, and two cars leave both places at the same time. Car A travels 48 kilometers per hour and car B travels 37 kilometers per hour. Two cars meet in a few hours.
5. List simple equations to solve practical problems
Xiangqun Stationery Factory can produce 250 pencil boxes per hour. How many hours can you produce 10000?
2. The factory sent a batch of coal, burned 28 tons, and left 13 tons. How many tons is this batch of coal? (Answer in two ways)
Six, about the application of cuboids and cubes, the calculation of surface area and volume.
1, a rectangular iron box, length 18cm, width 15cm and height 12cm. How many square centimeters of iron does it take to make this iron box?
2. The side length of the cube is15cm. What is its surface area and volume?
1. Two trains leave from A and B at the same time, and meet at 48km after 4 hours. As we all know, the speed of the local train is five-sevenths that of the express train. What's the speed of the express train and the local train? How many kilometers is it between A and B?
2. With the cooperation of Party A and Party B, a batch of parts can be completed in 12 days ... After several days of cooperation, B asked for leave because of something, and B only completed three tenths of the total task. A went on doing it, and it took 14 days from the beginning to the completion of the task. Excuse me: How many days did A do it alone?
3. The construction of a section of highway was originally planned to be completed in 50 days for 120 people. After working for a month (calculated as 30 days), 20 people were transferred to repair other sections. How many days do the remaining staff need to work more than originally planned to complete the task?
1. What time does the train station clock strike? For example, 1 calls once, twice at 2 o'clock and once every half hour. How many times does this big clock strike every day and night?
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Two cars drive from a to b at the same time. The car travels more than the big car12km/h. The bus will arrive in B in 4.5 hours. It returns along the original road and meets the cart at 3 1.5 km at B. How many kilometers does the cart travel per hour? Amateur Boshui IK9DBTC
j ' y/N9DCF \ f ' pj03。 A single hose can fill a pool in 40 minutes, and a single hose 1 hour can fill a pool. If two pipes are opened at the same time, how long will it take to fill three quarters of the whole pool? Uncle Bo: {w "Z2S0D3Q &; Rw'W8P5f
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4. Transport a batch of wheat with the same load, which is 5/6 of the total, 1 10 tons. How many tons are there in this batch of wheat?
Camping activities were held. At noon, the monitor went to the teacher in charge of logistics to get a bowl. The teacher asked, "How many people are there?" "One ***36." The monitor replied. Fans Boshu 4Y "kl5y "[E
The teacher said, "You can get it yourself, according to one person's rice bowl, two people's vegetable bowls and three people's soup bowls." This causes problems with the display. Can you help him?
9kExQC(Y/KA " E9qIB & amp; Boshu (\ d5rog 'xp0d), a Kn0 enthusiast.
6. There are 20 baskets of oranges, each weighing 27 kilograms. If each basket contains 1/9, how many kilograms is each basket? How many baskets can hold this basket of oranges?
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7. A train can completely cross a 572-meter-long bridge in 64 seconds, while it only takes 20 seconds for the train to cross a tree on the roadside. How long is the train? Boshu% [yzl {。 d &; Title used by people who don't want to specify their gender.
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8. It takes 55 minutes for someone to travel from A to B at a speed of 12 km/h and from B to C, G and * * * at a speed of 9 km/h.. It takes 8km/yes to return from C to B, 4km/yes to return from B to A on Monday, and 1.5h to return, thus finding out the distance from A to C.
8d "I 1U,UG09。 An engineering team built a section of highway. A quarter of this road was built in the first week, and two-seventh was built in the second week. The second week is 2 kilometers more than the first week. How many kilometers is this road?
10. The distance between Party A and Party B is 240 kilometers. The speed of the car from Party A to Party B is 36 kilometers per hour, and the speed of the motorcycle from Party B to Party A is 24 kilometers per hour. 2.5 hours after the motorcycle leaves from Party B, the car also leaves from Party A. How many hours after the car leaves? Fan boshu 0 7y Pim
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1 1. In order to meet the increasing demand of water consumption, Kunming recently built three water plants, A, B and C. The daily water supply of these three water plants is * *1/0.8 million cubic meters, of which the daily water supply of water plant B is three times that of water plant A and that of water plant C is/kloc-.
A football ticket 15 yuan. After the price reduction, the audience increased by half and the income increased by one fifth. How much is the ticket reduced?
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13. A car travels from place A to place B within the scheduled time. If it is faster than the original regulation 12 km, it will arrive 39 minutes earlier, and if it is 8 km slower than the original regulation, it will arrive 39 minutes later. Find the distance between a and b.
14. Party A and Party B start from A and B at the same time and go in opposite directions. After meeting at a distance of 6 kilometers from B, they continued to move in the original direction. When they arrive at B and A respectively, they immediately return and meet at a distance of 4 kilometers. How many kilometers is the distance between A and B?
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It takes 20 days for Team A to do a job alone, and it takes 12 days for Team B to do a job alone. This work was first done by Party A for a few days, and then continued by Party B, and it took 14 days from beginning to end. Q: How many days did Party A and Party B do it?
16. There are 3200 chickens, ducks and geese on the farm. If chicken 1/3, duck 1/4 and goose 1/5 are sold, there will be 2400 poultry left. If you sell chicken 1/5 and duck 1/5.
Party A and Party B walk around the city, and Party A takes 3 hours to walk around the city. Now that both of them are leaving at the same time, it will take 4 hours for Party B to reach the original starting point after meeting with Party A, so as to find out the time required for Party B to travel around the city.
18. It is known that an iron bridge is 1000 meters long, and a train passes on the bridge. According to the measurement, it takes 1 minute for the train to get on the bridge, and it takes 40 seconds for the whole train to completely cross the bridge. Find the length and speed of the train.
19. A woman is washing dishes by the river. People saw her and asked her why she used so many bowls. She replied that there were many guests at home. They share a dish bowl for every two people, a soup bowl for every three people, and a rice bowl for every four people, and * * * used 65 bowls. How many guests are there in her house?
20. Xiaoming has a packet of biscuits, and the number of four, five and six is more than one. How many biscuits does Xiaoming have in this bag?
1. Xiaoming reads a book. He originally planned to read 35 pages a day and finish it in 32 days. As a matter of fact, I read five more pages than planned every day. How many days did it actually take to read it?
2. build a road. It was originally planned to build 0.4 kilometers a day, which can be completed in 70 days. The actual number of meters repaired every day is 1.25 times as planned. How many days will it actually take to complete?
3. The greening team plans to plant trees and complete the task in 8 days. Actually, 240 trees were planted every day, and all the tree planting tasks were completed in 7 days. How many more trees are actually planted every day than planned?
4. A neighborhood committee expressed condolences to the families of martyrs and sent them brown sugar and white sugar. 2 bags of brown sugar and 5 bags of white sugar were distributed to every household. When they delivered it to the last household, the brown sugar had just arrived, and there were 10 bags of white sugar left. It is known that the number of bags of white sugar is three times that of brown sugar, so how many bags of brown sugar and white sugar do you bring?
The clothing factory has to process a batch of clothes. 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?
The washing machine factory plans to produce a batch of washing machines. Results 37.5% of the plan was completed in 9 days. According to this calculation, how many days will it take to complete the plan?
7. There is a pile of coal that can be burned 120 days. Due to the improvement of coal-burning technology, 0.25 tons of coal was saved every day, and as a result, this pile of coal burned 150 days. How many tons is this pile of coal?
8. Take seven yellow cattle and put them among the buffaloes, so that the number of the three groups of cattle is exactly the same. How many cows are there?
9. Workshop A and Workshop B process a batch of the same parts. If workshop A processes 35 pieces first, then workshop B processes 1 day first, and then workshop B starts processing again. After 5 days, the number of parts processed by the two workshops is equal. So how many parts does workshop B process in a day?
12. Grass100kg, with water content of 66%. After drying, the water content decreased to 65438 05%. How many kilograms do these grasses weigh after drying?
13. Reduce one side of the square by 1/5 and increase the other side by 4 meters to get a rectangle. This rectangle has the same area as the original square. So how many square meters is the square area?
14. A workshop processes A and B parts. Part a accounts for 30% of the processing part, and then 24 parts b are processed, at which time part a accounts for 25%. So how many two kinds of parts have been processed now?
15. Party A, Party B and Party C * * * produced 1760 pieces. If Party A produces 2/9 less and Party B produces 80 more, then the number of parts produced by Party A, Party B and Party C is equal. How much did A, B and C each produce?
16. Xiaoming's age this year is 65438+ 0/6 of his father's age. 15, his age is 4/9 of his father's age. How old are Xiaoming and his father this year?
17. There are 3 14 students in a school, of which 2/3 boys are 40 less than 4/5 girls. How many boys and girls are there in this school?
18. Class A and Class B have the same number of students, and some students in each class participated in the math group. The number of people in class A who participated in the math group was exactly1/3 of the number of people in class B who did not participate in the math group; The number of people who participated in the math group in Class B is exactly 0.4 of the number of people who did not participate in the math group in Class A+65438+A ... So, how many people who did not participate in the math group in Class A are from Class B?
19. There are several liters of alcohol solution in the container. After adding 1 liter of water, the pure alcohol content is 25%; Add 1 liter of pure alcohol, and the content of pure alcohol in the container is 40%. So how many liters of alcohol solution were there in the original container? What is the concentration?
20. Party A, Party B and Party C can finish copying a manuscript within 1 hour. If Party A and Party B copy together, it will take 80 minutes to complete; If B and C are copied together, it will take 100 minutes to complete. If this manuscript is copied by B alone, how many hours will it take to finish?
2 1. A single project can be completed in 20 days; B alone can be completed in 30 days. Now working together, the middle one rested for 3 days, and the second one rested for several days. It took 16 days to complete. B how many days did you rest?
22. It takes 8 hours to fill a pool of water and only open one pipe; It takes 12 hours to open only the second pipe; It takes 15 hours to open only the C tube. Starting today, only two pipelines A and B were opened, then two pipelines A and B were closed in the middle, and then pipeline C was opened. It takes 65,438+00 hours to fill a pool of water. So how many hours does it take to open the C pipe and inject water?
23. It takes 12 days for an engineering team to undertake a project. If only two teams, A and B, are allowed to exchange work contents, the whole project will be delayed for three days. If the two teams A and B are allowed to exchange work contents, and the two teams C and D are also allowed to exchange work contents, then the whole project can still be completed as scheduled. If only C and D teams are allowed to exchange work contents, the whole project can be completed a few days in advance.
24. Team A and Team B cooperate on a project. After team A worked alone for 6 days, team B joined in and worked with team A, and it took another 4 days to complete 1/3 of the whole project. After another 10 day, the whole project was completed by 3/4. Because group A has another task, group B will continue to work until the whole project is completed. How many days did it take from the beginning to the end?
25. Party A and Party B leave from A and B at the same time and go to B and A respectively, with the speed ratio of 7: 6. After they met, they moved on, and then B's speed increased every hour compared with the initial speed.
1. Two teams mow grass, each team cuts 3 bundles, each bundle weighs 8 kg. How many kilograms has a * * * lost?
2. Zhangjiazhuang Primary School has built 9 new classrooms, each with 6 windows, each with 8 pieces of glass. How many pieces of glass do you need to install a * * *?
3. Each bookshelf has five floors, and each floor has 30 books. How many books are put in three bookshelves?
The school held a broadcast gymnastics performance. There are 3 classes in Grade Three, Grade Four and Grade Five, each class has 16 students. How many people are there in the performance?
Continuous division of application problems (two solutions)
1. The store sold 7 boxes of thermos cups, each box was 12, and the income from one * * * was 336 yuan. How much is each thermos?
2. There are two classes in Grade Three, each class has 43 people, and each class has 258 trees. How many trees are planted in each class on average?
3. 100 The loan shop sold 3 boxes of gyroscopes, each containing 20 pieces. A * * * sold to 720 yuan. What is the price of each coat?
4. The school bought prizes for miyoshi students, two boxes of pens, one for each box 10 and one for 80 yuan. How much is each pen?
Respondent: Edward 28- Tong Jinshi was born in Grade 7 at 8-1122:11.
The square root of 1 Yes; The arithmetic square root is; The reciprocal of the arithmetic square root is; The reciprocal of the square root is; The absolute value of the square root is;
2. The cube root of is;
3. The square root of is;
4. The number of roots of is; The root index is;
5. 144 has square roots, which are; Their sum is;
They are mutual;
6. Because it is called 25;
7. If, then;
8. If the square root of is 2, then;
9. Comparison size: (fill in or symbol)
= ;
10. Real numbers correspond to points on the number axis;
Multiple choice questions: (3 points for each small question, ***2 1 point)
1 1. The following conclusion is correct ()
A b
C D
12. The following statement is true ()
The cube root of a is 0.4 B and the square root is 0.4 b.
The cube root of C 16 is D 0.0 1, and the cube root is 0.00000 1.
13. The following statement and formula are correct ()
A 7 is the arithmetic square root of 49, that is, B 7 is the square root, that is,
C is the square root of 49, that is, D is the square root of 49, that is
14. If both sums are meaningful, the value of is ().
A B C D
15. If is, the value of is ().
A B C D
The positive square root of 16. 16 is ()
A B C D
If there is an irrational number in 17. Real number, 0,3.1415926,,, and then () A 1 B 2 C 3 D 4.
Solution (***4 1)
18. Calculation: (5 points for each question, *** 10)
( 1) (2)
Find the values in the following categories: (5 points for each question, *** 15 points)
( 1) (2)
(3)
, pointed out that because the following step calculation is wrong, so as to draw the wrong conclusion. (5 points)
∵
∴
∴
∴
∴
Given, find the square root of; (5 points)
22. Knowing the real numbers and being satisfied,
The value of; (6 points)
Sorry, that's all I have! I hope you succeed in your studies. I'm exhausted!