Classic application problems of mathematics in the second volume of the sixth grade 1 1. Basic exercises
1, number A is 25, number B is 20, number A is ()% of number B, number B is ()% of number A, number A is more than number B ()%, and number B is less than number A ()%.
2, () more than 45 20%; 45 is 20% less than ().
Second, the percentage problem (how many percent of one number is another)
There are 45 students in class/kloc-0 and class 6 (3), and 36 students meet the national physical exercise standards. What is the success rate of sixth grade students?
2. Uncle Li of the oil mill told Xiao Jing: 2 tons of rapeseed can extract 840 kilograms of rapeseed oil. ? What is the oil yield of these rapeseed?
3. Primary and secondary schools in the new urban area began to recycle waste paper, recycling 87.5 tons of waste paper. These recycled waste papers can produce 70 tons of recycled paper. What is the recovery rate of these waste papers?
Li Ping used 600 kilograms of rice to grind out 450 kilograms of rice. What is the rice output of his family?
A primary school plans to use 250 tons of water this year, saving 30 tons compared with last year. What is the percentage of planned water use this year?
3. What percentage is one number more or less than another?
1, the original cost per product of a factory was in 96 yuan, but after technological innovation, the cost per product was reduced to 84 yuan, by what percentage?
2. Xiaofei used to use about 12 tons of water every month. After replacing the water-saving faucet, water can be saved 1.2 tons per month. What percentage of water consumption is saved every month?
3. Xiaoming's family 10 used 60 kwh of electricity in October, saving 20 kwh compared with last month, and saving several percent of electricity compared with last month.
There are 1500 books in the school library, 300 more than the original. What percentage has it increased?
5. It took 8 hours to drive from home to grandma's house in Xiaohong holiday, and it took 10 hours to drive back along the original road. What percentage of you go faster than you go back?
6. The PLA conducted camping training. It was originally planned to drive 42 kilometers every day, and complete the trip in 15 days. Actually, it arrived at the destination 1 day in advance. How much faster than planned?
4. What is the percentage of a number?
1. 470 people in Baihua Primary School participated in accident insurance, and only 6% students did not participate in accident insurance. How many students are not insured?
2. A rope with a length of 10 meter cut 1/4 of the total length for the first time and 20% of the total length before the second time. How many meters are left?
Five, more or less than a question.
1. Xingping Town has 1970 pupils this year, which is less than last year 1.5%. How many students were there last year?
12, Xiaoming's family earned 45,000 yuan a year ago, and last year's income increased over the previous year. How much money did you earn last year compared with the year before? five
I ate 20% of a bag of sugar, and now this bag of sugar weighs 384 grams. How many grams is this bag of sugar?
4. There are 48 choirs in a school, which is 20% less than the model airplane group. How many people are there in these two groups?
The continuous increase or decrease of intransitive verbs
1, the average temperature in mid-February is 20% higher than that in early February, and the average temperature in late February is 10% lower than that in early February. What percentage of the average temperature in late February increased compared with that in early February?
2. The price of watermelon in a certain place dropped by 50% in May and 50% in July. How much is a catty of watermelon in July?
Seven, comprehensive solution to the problem
5 1, the speed of the train is 180km/ h, the speed of the car is the speed of this train, which is 9 times that of a jet plane.
1。 What is the speed of this jet plane? nine
2. Jiang answered the scoring question, and the scoring rate was 65%. She made seven mistakes. How many problems did she solve in one breath?
3. When a commodity costs 2500 yuan, the store will first raise the price by 10% and then lower the price by 10%. What's the current price?
4. A store sells two goods at the same time, both of which are from 60 yuan. It is known that one of them earned 20% and the other lost 20%. So does this store make money or lose money by selling these two commodities? How much did you make or lose?
There are 30 female employees in the assembly workshop, accounting for 25% of the total employees in the workshop. Later, there were 15 female employees. At this time, what is the percentage of female employees in the workshop?
In a test, Xiaoming got the right number of questions 1 1 and made four mistakes. What is Xiao Ming's correct rate in this test?
(2) 2,000 kilograms of rice is processed into rice in the rice processing plant, and * * * grinds out 1600 kilograms of rice to obtain rice output.
(3) Planting trees in the forest farm in spring, 24,570 plants survived and 630 plants died, so as to seek the survival rate.
(4) The employees of the furniture factory 1250 were absent from work one day 15 and asked for attendance. Master Wang produced a batch of parts, 485 of which passed the inspection, and 5 were unqualified/kloc-0, and the qualified rate of this batch of new products was sought.
(6) A batch of corn seeds were used for germination test. Results 192 seeds germinated and 8 seeds did not germinate. Find the germination rate of these seeds.
(7) Class Six (1) today, 48 people came to class, and two people took personal leave to ask for the attendance of Class Six (1).
(8) There are 50 students in Class 6 (1), and 5 students failed in the mid-term exam, so the passing rate of this class can be calculated.
(9) In a shooting practice, Xiao Wang fired 200 rounds and missed 50 rounds. What's the hit rate?
(10) PLA soldiers conducted live-fire shooting training, with 50 people each firing 6 rounds. As a result, * * * hit 256 rounds, seeking the hit rate.
(1 1) The original cost of a product in a factory is 96 yuan. What is the product qualification rate after technological innovation? The cost of each piece was reduced to 84 yuan, by what percentage?
(12) The recorder factory planned to produce 3,600 recorders in the third quarter, and actually produced 4,500. What percentage did the actual output exceed the plan?
(13) Due to the strengthening of enterprise management, the number of workers per shift has been reduced from 800 to 650. Now the number of workers in each class has decreased by several percent.
(14) It takes 10 days for Team A to do a project alone, and 12 days for Team B to do it alone. How much more efficient is Team A than Team B?
(15) Processing a kind of parts, now processing 1500 pieces every day, 300 pieces more than in the past. What percentage of parts are processed every day?
(16) A primary school plans to use 250 tons of water this year, saving 30 tons compared with last year. What is the percentage of planned water use this year?
(17) Xiao Mingjia 10 used 80 kwh of electricity, saving 20 kwh compared with last month. What percentage was saved?
(18) Xiangqun Chain Store 10 had a turnover of 345,000 yuan, an increase of 45,000 yuan compared with September. What percentage is the turnover in October higher than that in September?
(19) Guangming shoe factory planned to produce 24,000 pairs of shoes in June, but actually produced 25,200 pairs. What percentage has the output increased?
(20) A sugar factory produced 552 tons of sugar in July, 72 tons more than planned. What is the percentage of overproduction?
(2 1) A production team produced 1600 pieces, and 4 pieces were unqualified after acceptance. How to find the qualified rate of products?
(22) xishan village has accumulated 820,000 tons of chemical fertilizers this year, which is10.4 million tons more than originally planned. What percentage of the plan has been completed?
(23) A chemical plant produced chemical fertilizer 1.28 tons in March, 320 tons less than planned. What percentage of the plan was completed?
(24) The school canteen burned 7.5 tons of coal in May, saving 1.5 tons compared with April. Compared with April, what percentage of coal was saved in May?
(25) The time for workers to process a machine part is reduced from the original 15 minutes to 10 minutes. How many percent of working hours have been reduced? What percentage has the work efficiency improved?
(26) A factory expansion plan invested 5 million yuan, saving 450,000 yuan. What percentage of investment was saved?
(27) The cost of a TV set is now in 550 yuan, which is 100 yuan lower than the original. What percentage is the cost reduced?
(28) A steel mill produced 2,460 tons of steel in August, 60 tons more than planned, by what percentage?
(29) A factory planned to produce 65,438+0,820 machine parts in the first quarter, but actually produced 2,320 machine parts. What percentage has the output increased?
(30) It takes 8 days for A to do a job alone, which is 2 days less than B. How much faster is A's work efficiency than B?
(3 1) Due to the adoption of advanced technology, a project only used144,000 yuan, 36,000 yuan less than the original plan, and what percentage was saved?
(32) After the equipment of Hongxing Machinery Factory was updated, it produced 2,400 parts every day, 400 more than originally planned. How much more than originally planned?
(33) After streamlining, the staff of a public institution 167, which is 68 less than the original establishment. What percentage?
A color TV set is now 2,400 yuan each, a few percentage points lower than the original price reduction in 350 yuan.
It took Master Wang eight days to produce a machine part, but he finished it three days ahead of schedule. What percentage has the work efficiency improved?
(36) For the same road section, Party A needs 20 minutes and Party B needs 18 minutes. How much slower is Party A than Party B?
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