In addition to sum, difference, product and quotient, the quantitative relations involved in simple application problems also include the following common quantitative relations:
Revenue-Expenditure = Balance
Unit price × quantity = total price × speed = distance
Single output × quantity = total output efficiency × time = total working capital × interest rate × time = interest.
Second, basic training.
Group a
1, fill in the blanks.
(1) There must be two () and one () in a simple application problem, and the relationship between them can be summarized as (), (), (? )、( ? ) four kinds.
(2) Knowing the speed and time of a car, you can get (). If you want to get the speed of this car, you must know () and ().
(3) To calculate the interest on the deposit in the bank, you need to know how much the principal is, as well as () and ().
(4) Knowing the number of walnut trees and the kilograms of harvested walnuts, finding the yield of each walnut tree is the problem of finding ().
(5) It is known that three dairy sheep can produce 2340 kilograms of milk a year, and you can get ().
2. Answer the following application questions.
(1) A rope is 35 meters long. Need 14.75 meters. How many meters are left?
(2) A car travels 25 kilometers in 0.5 hour, 1 hour. How many kilometers?
(3) Two fifths of a batch of goods have been shipped. How many parts are left?
(4) There are 50 students in a class, and the attendance rate today is 96%. How many people are present today?
(5) There are 85 peach trees in the orchard, and the number of pear trees is exactly four times that of peach trees. How many pear trees are there?
(6) The canal with a total length of 1.200m has been repaired for 450m. How many meters can I finish?
(7) The school buys 18 football and spends 1.89 yuan. How much is each football?
(8) Among the 50 students in class 6/kloc-0, 48 students participated in various "interest groups" activities. What percentage of the class participated in the "interest group" activities?
(9) The construction team has completed a section of highway, with a total length of 8.4 kilometers, accounting for 80% of the total length. How many kilometers is this road?
Group b
1, fill in the blanks as required.
A kind of clothing, the original price of each set of 85 yuan, the current price is 4/5 of the original price, how much is each set now?
Analysis:
(1) The known conditions are () and (), but the problem is ().
(2) As the original price of this kind of clothing is in 85 yuan, the current price is 4/5 of the original price. What is the current price, that is, 4/5 of ().
(3) Find the fraction of a number and calculate it by the method of ().
2. What two conditions do you need to know about the following questions?
(1) How many students are there in Class One, Class Six * * * (1)? (2) How many more boys are there than girls in Class Six (1)?
(3) How many fewer peach trees are there than pear trees in the orchard? (4) How much does the average fifth grader donate to the disaster area?
(5) How many kilometers does the car travel per hour on average? (6) How many times as many people are there in the chorus as in the dance team?
(7) Compared with the sixth grade, what is the donation amount?
(8) How many hours should the remaining books be bound? (9) How long can Xiao Ming walk from home to school?
(10) How many days did this coal burn?
3. Complete the relevant quantitative relationship according to the following conditions.
(1) The number of the school dance team is 2/5 of that of the chorus.
() ⊙()= 2/5()○()= the number of dancers.
() ○ () = the number of members of the chorus.
(2) 125% of the plan actually completed.
() ⊙()= 125%()○ 125% = actual output.
() ○ 125%= planned output
4. A primary school planned to donate 700 yuan to Project Hope, and actually donated 840 yuan. What percentage of the plan is the actual donation?
Group c
1. Answer the supplementary conditions again.
(1) apples are less than pears15kg. How many kilograms of pears are there?
(2) A batch of goods used 4.5 tons. How many tons did this batch originally have?
(3) The number of boys in class 5/kloc-0 is 3/5 of that of girls. How many boys are there?
(4) Chicken is 2/3 of that of duck. How many chickens are there?
(5) In the "Civilization and Politeness Month" activity, the fifth grade did 75 good deeds, and how many good deeds did the second grade do?
2.( 1) An excavator digs 60 tons per hour. How many tons can you dig in 8 hours?
(2) Adapting this problem into the application of working hours.