2. 14 kg of soybean is equal to 8 kg of peanut. Known 1 kg peanut ratio 1 kg soybean price 1.2 yuan. What is the unit price of soybeans and peanuts?
3. A rope is folded three times and then wound around the tree 10 cm. If it is 20 cm around the tree after 40% folding, find the circumference and rope length of the tree.
4. All the students in one class subscribed to two newspapers, 32 to math newspapers, 40 to composition newspapers and 26 to English newspapers. Q: How many people subscribe to both math newspapers and English newspapers?
5.25% is 20% more than 10. ① 1993× 1994 1994+ 1994× 1993 1993
Two people, A and B, who are 260 kilometers apart, travel in opposite directions along a straight road at the same time, heading for B and A respectively. A driving 32 kilometers per hour. B travels 48 kilometers per hour. Party A and Party B each have a walkie-talkie. When the distance between them is less than or equal to 20 kilometers, they can contact each other through walkie-talkies. Q:
(1) How soon can two people start to communicate with each other by walkie-talkie?
Fill in the blanks.
1, the radius of the circle is 6 cm, the circumference is () and the area is ().
2. A semicircle with a radius of 3 cm, a perimeter of () and an area of ().
3. The circumference of a circular desktop is 376.8 cm, and a circular glass of the same size should be placed on it. The area of this round glass is ().
Draw the largest circle in a rectangle with a length of 5cm and a width of 4cm. The circumference of this circle is () and the area is ().
5. The radius of the circle is expanded to 3 times, the diameter to () times, the circumference to () times and the area to () times.
6. If the diameter ratio of two circles is 3: 2, then their radius ratio is (), perimeter ratio is () and area ratio is ().
7. A wall clock with a minute hand of 50 cm and an hour hand of 40 cm. The length of the minute hand tip is (), and the area swept by the hour hand is ().
The ratio of 8 to 23: 6 is (). If the former item is multiplied by 3, the latter item should be () to keep the proportion unchanged. If the first term and the last term are divided by 2, the ratio is ().
9. The quotient of the number A divided by the number B is 1.4, and the ratio of the number A to the number B is ().
10, 23 of A equals 34 of B, and the ratio of A to B is ().
1 1, 1 ton: the ratio of 250 kg to the simplest integer is (), and its ratio is ().
12, if a× 3 = b× 5, then a∶b =()∴ ()
13, if a: 4 = 0.2: 7, then a = ()
13、
40% of 14 and 120 meters is () meters, and 40% of a number is 24 meters, and this number is ().
15, 50 cubic meters is 25% more than () cubic meters, and 30 kilograms is less than 80 kilograms ()%.
/kloc-The number of boys in Class 0/6 and Class 62 is girls, and the number of girls accounts for ()% of the class.
The electricity consumption in June is less than that in May 12%, and the electricity consumption in June is ()% of that in May.
18, a dress is 30% off, which is ()% lower than the original price.
19, number A is 60% more than number B, and number B is ()% less than number A. 。
20. There is a ratio of 7: 9. If 14 is added to the previous item, then () should be added to this item, and the proportion remains unchanged.
Second, judge.
1, two circles with equal perimeters must also have equal areas. ( )
2. Square and circle with equal circumference have large areas. ( )
The area of a circle with a radius of 2 cm is equal to its circumference. ( )
4. A 250 yuan dress will be reduced by 20% first, and then increased by 20% on the basis of the reduced price. The current price is still in 250 yuan. ( )
5. Compared with two circles, the area of the circle with smaller circumference must be smaller. ( )
6.500 kg: 14 ton. The simplest integer ratio is 125. ( )
7. Because A×3=B×4, A: B = 3: 4. ( )
8. In the brine with salt content of 10%, the ratio of salt to brine is 1: 9. ( )
9. For the same distance, it takes 4 hours for a car to run and 6 hours for b car to run. The speed ratio of car A to car B is 2: 3. ( )
10, and the ratio of the side lengths of two cubes A and B is 1: 2. The surface area ratio of A and B is 1: 4 and the volume ratio is 1: 8. ( )
Third, multiple choice questions
(1) On a certain day, the attendance rate of a class is 90%, and the ratio of attendance rate to truancy rate is ().
a、9∶ 10 B、0∶9 C、 1∶9 D、9∶ 1
(2) The proportional formula of three, five, nine and 15 is ().
a、 15∶3=5∶9 B、3∶ 15=9∶5 C、 15∶9=5∶3 D、9∶3=5∶ 15
(3) The ratio of radii of two circles is 3: 2, the ratio of perimeters is (), and the ratio of areas is ().
a、3∶2 B、6∶4 C、9∶4
(4)50 grams of brine contains 5 grams of salt, so the mass ratio of salt to water is ()
a、 1 : 9 B、 1 : 10 C、 1 : 1 1
(5) 1.2 tons: the simplest integer of the ratio of 300 kilograms is ()
a、 1 : 250 B、 1200 : 300 C、4 : 1 D、4
Fourth, calculation
1, find the ratio.
1.25 : 6.5 : 0.75 :
Step 2 simplify the ratio
143 :52 0.8: 5: 30
3. Solve the equation
0.25+25% x = 1.5 x-20% x = 40 18- 150% x = 5.5
Comprehensive application of verbs (abbreviation of verb)
1. The circumference of the circular flower bed is 43.96 meters. There are two kinds of flowers in it. The area ratio of chrysanthemum and camellia is 2: 5. What is the planting area of these two kinds of flowers?
2. Cut a maximum circle with a circumference of 18.84 cm from a square piece of paper, and find the area of the cut paper scraps.
3. The diameter ratio of two circles A and B is 2: 3, and the area of circle B is 28.26 square centimeters. What is the area of circle a? (Hint: Think about the area ratio of two circles first. )
4, a refrigerator, after 35% reduction, the current price 1560 yuan, the original price? How much cheaper?
5, 3. A table 90 yuan, the price of a chair is 60% of that of a table. How much is a table more expensive than a chair?
6. A rope, after 25% use, has 9 meters left. How long is this rope?
7. Dig a canal with a total length of 28% on the first day, 30% on the second day and 870 meters on the second day. How long is this canal?
8. Two meshing gears, the tooth ratio is 5: 2. If the big gear turns 100, how many revolutions does the small gear turn?
1. A car, from place A to place B, will arrive in 0.5 hour if it travels at a speed of 45 kilometers per hour; If you drive 50 kilometers per hour, you can arrive 0.5 hour earlier. Ask about the distance between Party A and Party B and plan the driving time.
2. Xiaohong and Xiao Qiao bought problem sets and used the summer vacation to do exercises. Xiaohong did 364 questions, Xiao Qiao did 228 questions, and the rest were exactly twice as many as Xiaohong. How many exercises does this book have?
Father is 47 years old and son is 20 years old. How many years ago, my father was four times as old as my son?
A tree planting team will plant trees. If each person plants 5 trees, there are still 14 seedlings left. If everyone plants seven trees, there will be a shortage of four seedlings. How many people are there in this group? A * *, how many seedlings?
5. The total age of Party A, Party B and Party C is 1 13 years old. When Party A is half the age of Party B, Party C is 38 years old. When Party B's age is half that of Party C, Party A's age is 17, so we can find out Party B's age.
6. Party A, Party B, Party C and Party D made a total of 370 parts. If the number of parts of Party A increases by 10, the number of parts of Party B decreases by 20, the number of parts of Party C is multiplied by 2, and the number of parts of Party D is divided by 2, then the number of parts of four people is exactly the same. How many parts did Party B actually make?
First, the text narrative topic 1. It is known that the number A is 0.4 times that of 65438+B, and the difference between the two numbers is 9.8. Find the number B. (solved by equation) 2. The number A is 33.5, and the average of the number B and the number C is 30.5. What is the average of these three numbers? 3. The number that is 7.2 times larger than 5 times of x is 9.8, and find X. (solution of equations) 4. A number is 2.95 times that of 37.8. What is four times this number? What is the product of the sum of 5.37 and 23 multiplied by the difference between 3.598 and 2.8? 6. A number multiplied by the product of 1.7 and 3, the sum is 8.6. What's this number? 2. Application question 1. A canteen burns 5 tons of coal in March and 4.8 tons in April. Compared with March, what percentage of coal was saved in April? 2. 12 workers can produce 72 parts in 0.4 hours. According to this calculation, 15 workers can produce 180 parts. How many hours will it take? 3. A factory adopted new technology, and now the cost of each product is 37.4 yuan, which is 15% lower than the original. What is the original cost of each product? 4. A pool can hold 84 tons of water, and there are two water injection pipes for water injection. The pool can be filled by opening the first pipe for 8 hours and the second pipe for 6 hours. Now that two water pipes are open at the same time, how many tons of water will the second pipe inject into the pool? 5. Li Qiang weighs 33kg, which is 10% higher than last year. What was his weight last year? Do it for five days, and the rest will be done by team A and team B. How many days will it take? 6. Trenching1800m, 840m in seven days. At this rate, how many days will it take to complete the project? 7. Road repair: Team A will finish it in 8 days, Team B 10 days, Team A will finish it in 3 days, and the remaining teams A and B will finish it together. How many days will it take? 8. A batch of goods is planned to transport 30 tons a day, and the task is completed as scheduled. If the tonnage transported every day is increased to 50 tons, it can be transported in six days, then how many days can the task be completed ahead of schedule? 9. Two cars, A and B, set off from two places 270 kilometers apart at the same time and met at 1 hour 30 minutes later. It is known that the speed ratio between car B and car A is 7:8. How many kilometers have these two cars traveled per hour? 10. The First Machine Tool Plant produced 89 1 machine tools this year, an increase of 10% over last year. How many machine tools have been added this year? 1 1. It took 4 days and 380 meters to build a canal. According to this calculation, it can be completed in 7 days. How long is this canal? 12. Four carts transport 80 tons of coal five times, and three trucks transport 72 tons of coal eight times. Today, there are 350 tons of coal. How many times does it take to transport the cart and the car at the same time? 13. In the second quarter of this year, steel mills produced an average of 500,000 tons of steel per month, an increase of 65,438+10,000 tons over the first quarter. How many ten thousand tons of steel were produced in the first half of this year? 14. Xiao Wang walked by bike for two days 144 km, walking 40% more on the first day than on the second. How many kilometers has he walked in these two days? 15.a project can be completed in 50 days by one person, and project b can be completed in 75 days by one person. Now two people are working together, but B has been away for a few days because of business, and finished the project in 40 days. B how many days did you walk halfway? 16. Yucai School has 1250 students, of whom 48% are girls. How many boys are there? 17. How many cubic decimeters of gasoline can a cylindrical gasoline tank with a diameter of 54 cm and a height of 8 decimeters hold? 1 cubic decimeter of gasoline weighs about 0.7 kg. How many kg does a barrel of gasoline weigh? (Keep the whole kilogram) 18. Distance between Party A and Party B1800km. A plane flies from A to B at a speed of 360 kilometers per hour, and it takes less 1 hour to return with the wind. How many kilometers does it fly back and forth on average? 19. The playground of a school is 75 meters long and 45 meters wide. How many cubic meters of loess with a thickness of 5 cm should be padded on the playground? 20. Tamura Pig Farm will build a cylindrical biogas digester with a bottom circumference of 6.28 meters and a depth of 3.5 meters. What is the volume? (Numbers are integers) 2 1. A rectangular wasteland opened by Nanhe Primary School last year is15m long and12m wide. This year, its length increased by 5 meters and its width increased by 3 meters. How many square meters has it increased this year? 22. A cube model is made of 12 cm long iron wire. What is its side length, surface area and occupied space? 23. A cubic water tank, each side of which is 4 cm long, contains a box of water. If you pour this box of water into another rectangular water tank with a length of 0.8 meters and a width of 25 centimeters, what is the water depth? 24. The nature interest group of the school raised 2,500 silkworms last year, more than three times that of this year 100. How many silkworms have you raised this year? 25. On the map with the scale of 1: 600000, the distance from Nanjing to Beijing is 15cm. There are two planes flying from Nanjing and Beijing at the same time, both at a speed of 500 kilometers per hour. How many hours later, the two planes met? 26. If a manuscript is copied by one person, Party A needs 10 hour and Party B needs 12 hour. If Party A copies it for 4 hours first, how many hours will it take for the remaining two people to copy it together? 27. There is a pile of conical rice on the threshing floor, whose bottom circumference is 18.84m and height is1.5m. Put this pile of rice into a cylindrical grain box with an inner diameter of 6m. What is the height of the rice pile? 28. Cylindrical steel with a diameter of 8 cm and a length of 25 cm weighs 7.8 grams per cubic centimeter. How many kilograms does this steel weigh? 29. A workshop used to use 65,438+050 tons of coal every month. After improving the technology, the monthly coal consumption is 127.5 tons, saving a few percent. 30. A plot of land can be plowed for 65,438+00 hours with the first tractor and 8 hours with the second tractor. Now, these two tractors plow together for 65,438+0 hours and 20 minutes. What percentage of this land has been cultivated? 3 1. Vegetable farmer Zhang picked 8400 Jin of Chinese cabbage and prepared to supply it to four vegetable markets, and lost 0. 1% during shipment. How many Jin can each market transport on average? 32. There are 250 bags of rice in the canteen. I ate 40% and bought 25 bags. What percentage of rice is stored at this time? 33. The distance between Port A and Port B is 154 km. It took a ship 7 hours and 20 minutes to sail upstream from Port A to Port B, and it only took 4 hours and 40 minutes to sail downstream when it came back. The ship sails between Port A and Port B for an average of 4 hours and 40 minutes per hour. How many kilometers does it travel per hour on average? 34. It takes 65,438+00 hours for a bus to travel from A city to B city, and 65,438+05 hours for a truck to travel from B city to A city. Two cars leave the two cities at the same time. When they met, the bus ran 96 kilometers more than the truck. How many kilometers is the road between a and b cities? 35. Dig a diversion canal with a length of1.500m.. The cross section of the canal is trapezoidal, with an area of 2.7m2 It is known that the width of the upper mouth of the canal is 2.4m, and the width of the bottom of the canal is1.2m. Find the depth of the canal. It is known that each person digs 2.5m cubic meters of soil every day, which is planned to be completed in 20 days. How many people should be arranged to dig ditches every day? 36. The pool is provided with a water inlet pipe and a water outlet pipe. If the inlet pipe is opened separately, the empty pool can be filled in 8 minutes, and if the outlet pipe is opened separately, it can be filled in 12 minutes. Now if you open the inlet pipe separately for 2 minutes, the outlet pipe will also open. How many minutes does it take to fill the swimming pool? 37. A road construction team was scheduled to complete a road in 7 days and completed 30% of the whole road in 3 days. At this time, the unfinished road is 280 meters more than the repaired road. How many meters do I have to repair every day to finish the task on schedule? 38. Zhangzhuang Brick and Tile Factory planned to use 400 tons of coal in the first half of the year, but actually used 388 tons of coal, which percentage was saved? 39. Neighborhood Committee A donated 240 cotton-padded clothes to the disaster area, 20% more than Neighborhood Committee B. How many cotton-padded clothes did Neighborhood Committee A donate? 40. Team A and Team B jointly built a road. Team A completed 62% of the total length, 360 meters more than Team B. What is the total length of this road? 4 1. A washing and dyeing factory planned to use 400 tons of water in the first half of the year, but actually used 388 tons of water, which percentage was saved? 42. Master Liu produced a batch of parts and produced 128 parts in four days. At this rate, how many days will it take to produce 224 parts? 43.62 classes are more than 6 1 class 12.5%, and 62 classes have 45 students. 6 1 How many students are there in Class 62? 44. It takes 65,438+00 days for Group A, Group B and Group C to complete a project at the same time. 45. Li Shifu and Master Wang worked together for six hours and finished a batch of parts. It is known that Li Shifu processes 50 pieces per hour, and Master Wang needs 1 1 hour to finish it. How many pieces does Master Wang process per hour? 46. Use a rectangular cardboard with a length of 50 cm and a width of 40 cm, and cut out squares with a side length of 1 cm from four corners to make cartons. What is the volume of this carton? What is the surface area? 47. The following is the sales statistics of Shi Yu Store in September and February, 1999. Answer the following questions according to this chart. (1) What is this statistical chart? (2) What is the sales volume of this store1February? (3) What percentage has11month increased compared with1month? (4) What is the average sales volume in these four months? * 48. Two cars, A and B, left relatively at the same time. Four hours later, car A traveled 80% of the whole journey, and car B exceeded the midpoint 13 km. It is known that car A travels 3 kilometers more than car B every hour. How many kilometers are there between cities A and B?
25:7 = X:35 5 14:35 = 57:X 23:X = 12: 14X: 15 = 13:56 34:X = 54:2 X:0.75 = 8 1.25