![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
I'll be on the first day of junior high school next term. I'm not good at math,
Tihai (sixth grade)
Olympiad Mathematics (sixth grade)
Take a look at the book of grade one in junior high school, find a few simple problems to do, recite the formula that should be recited, do the simple problems a little more difficult, slowly hone, mathematics is to rely on more problems, don't be lazy!
1. The solution set of | X-5 | - | x + 2 | 0 is XX-1 solution inequality
5. Find the system of inequalities 2 (x + 8) less than or equal to 10-4 (x-3) x + 1 / 2 - 6x + 7 / 3
1.|X-5|-|X+2|
The 16 cities in the "Yangtze River Delta" include seven cities in Zhejiang Province, eight cities in Shanghai and Jiangsu Province. It is known that the average disposable income of residents in the 16 cities in the "Yangtze River Delta" in the first quarter of 2006 was 5375 yuan. For example, the disposable income of residents in seven cities in Zhejiang Province and eight cities in Shanghai in the first quarter of 2006 is listed below
Shaoxing: 7281 yuan Shanghai: 5870 yuan Taizhou: 6470 yuan Huzhou: 5741 yuan Ningbo: 6453 yuan Zhoushan: 5696 Hangzhou: 6191 yuan Jiaxing: 5453 yuan
(1) How much is the average disposable amount of residents in seven cities of Zhejiang in the first quarter? (accurate to one yuan)
(2) What is the disposable income of residents in eight cities of Jiangsu Province in the first quarter? (accurate to one yuan)
(1) The total disposable income of residents in seven cities of Zhejiang in the first quarter was as follows:
7281+6470+5741+6453+5696+6191+5453=43285
The average disposable income of residents in seven cities of Zhejiang in the first quarter is: 1
43285/7=6184
(2) The disposable income of 16 Urban Residents in the Yangtze River Delta is as follows:
5375*16=86000
The disposable income of residents in eight cities of Jiangsu Province in the first quarter was
86000-43285=42715
RELATED INFORMATIONS
- 1. 1: 1.25 × (- 81 / 20) × (- 8) 2: (- 9) × (- 5 / 4) × (- 0.8) × 1 / 3 3: (- 3 / 4) × (- 8 + 10 / 3-1 / 2) 4: 3 / 4 × (- 9) + 3 / 4 × (- 15)
- 2. If we know that the trilateral length of △ ABC is a = 3, B = 5, C = 67, then the area of △ ABC is That's wrong. C = 7
- 3. x/5 + 2x/3 = 39
- 4. The sixth grade donated 460 yuan, 14 yuan less than three times of the third grade. How much for the third grade
- 5. I want to ask a question There are 75 households in building 5, with two rooms and one living room and three rooms and two living rooms. The number of two rooms and one living room is twice that of three rooms and two living rooms. How many households are there in these two kinds of rooms?
- 6. Practical problems in Mathematics 1. Among the seven numbers 12, 27, 45, 81, 123, 162, 180, what are the numbers divisible by 9? Please summarize the characteristics of the numbers divisible by 9 2. The number of participants in a middle school's Lane game during the summer vacation, no matter 5, 6 or 7 people are shooting a line, is just arranged in the whole line. How many people are there at least? If the number of participants is between 400 and 700, how many people are there? 4. As shown in the figure, there is a column of positive integers, and the sum of any three connected numbers is 15 (1) Please fill in all the blanks in this column; (2) Please indicate what numbers x, y and Z represent; (3) What are the numbers that can be divided by 3 and 5 at the same time in the two digit and three digit numbers composed of X, y and Z? ┌—┬X┬ 4┬—┬—┬—┬ y┬ 5┬z┬6┬—┬—┬—┐ └—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┘ There are 13 squares in question 4
- 7. The problem of profit The price of a certain type of TV set in the shop is 1200 yuan, which can make a profit of 20%. Now a unit has bought several sets of this type of TV set at the total price of 11500 yuan, so the shop still has 15% profit. How many TV sets has the unit bought?
- 8. The total cost of two pieces of clothing is 500 yuan. In order to make a profit, the store owner decides to price the clothing at 50% of the profit and the clothing at 40% of the profit. In actual sales, at the request of customers, the two pieces of clothing are sold at a 10% discount. In this way, the store makes a total profit of 157 yuan. How much is the cost of the two pieces of clothing?
- 9. Put 1.5g impure sodium sulfate (impurities are insoluble in water) into 85.8g water to make a solution. After filtration, add appropriate barium chloride solution to the filtrate to completely reflect and generate 2.33g white solution. Calculate the mass of sodium sulfate in the original mixture
- 10. Mathematics problem: super difficult! Please help! Urgent! Urgent! Urgent! A cuboid is 5cm in length and 3cm in width. If it is rotated around the length of the rectangle, a cylinder will be obtained. What is the surface area of the cylinder? If it is rotated around the width of the rectangle, a cylinder will also be obtained. What is the volume of the cylinder? (formula calculation)
- 11. The distance between a and B is 400 kilometers. A car drives from a to B for 300 kilometers in 4 hours. At this speed, how many hours will it take to finish the journey
- 12. It is known that the side length of the equilateral triangle ABC is 4, and point D is a moving point (not coincident with points B and C) on the side BC. It connects AD and makes the vertical bisector of AD and intersects with the sides AB and AC at points E and f respectively, Find the sum of the perimeter of triangle BDE and triangle DCF; Let the length of BD be x, and use the algebraic expression of X to express the perimeter of BDE and CDF;
- 13. According to the state regulations, the tax calculation method for individual publishing articles and books is as follows: 1. No tax shall be paid if the contribution fee is not higher than 800 yuan; 2. 14% of the contribution fee exceeding 800 yuan shall be paid if the contribution fee is higher than 800 yuan but not higher than 4000 yuan; 3. 11% of the whole contribution fee shall be paid if the contribution fee is higher than 4000 yuan; if someone has paid 420 yuan of tax in a lump sum, the tax shall be paid, How much is this person's contribution fee? If paid 770 yuan tax? It's a linear equation with one variable
- 14. Judgment: After 75% of 1.1 meter cloth is used, 25% of the cloth is left choice: 1. Add 5g sugar and 100g water to the water containing 5% sugar, and the sugar content of the water is () A. Constant B. above 5% C. below 5% Fill in the blanks: 1. A cuboid shaped wood strip can be sawn into seven cube blocks, and the sum of the surface area of all cube blocks is increased by ()%
- 15. If the height of a cuboid is increased by 2cm, it will become a cube. At this time, the surface area is increased by 64cm. What is the volume of the original cuboid 2. Dig out a small piece from a cuboid wood block with a volume of 30cm. What is its surface area; 3. How much is the surface area reduced by kneading a 8cm long, 4cm wide and 2cm high dough into a cube?
- 16. An applied problem in Mathematics "The stationery counter of Fuxing shopping mall bought a batch of" hero "brand pens at the price of a (a is an integer) yuan, and decided to increase the price by 2 yuan for each pen. Because of the excellent price, good quality and beautiful appearance of these pens, they soon sold out. When checking out, the salesperson found that the total sales amount of these pens was (399a + 805) yuan, Based on the above information, can you find out the total number of pens purchased at the stationery counter and the purchase price of each pen? How much is a
- 17. 1. A township originally planned to afforest 12 hectares last year, but actually afforested 14 hectares. How many percent more than the original plan? 2. During the "Eleventh Five Year Plan" period, the Xiaojun family planned to spend 2000 yuan, and the actual consumption was 1800 yuan. How much less was the actual consumption than the planned consumption? 3. Guangming Village has 121 units per 100 households this year, an increase of 66 units compared with last year. How much has this year increased compared with last year? 4. Xiao Ming's mother's monthly salary is 2000 yuan. In the past, her monthly salary was 1800 yuan. Now, how much higher than the original salary? 5. On the morning of October 1, 2009, 240 people in Grade 5 watched the 60th anniversary of the National Day parade on TV, and 300 people in Grade 6 watched the 60th anniversary of the National Day parade?
- 18. There are three numbers a, B and C. the number a is 70 times more than the number B, and the number B is 10 times more than the number C. The sum of three numbers is 244 The total number of students in school a, B and C is 2640, of which the number of students in school a is three times that of School B, and the number of students in school B is 2.5 times that of school C. how many students are there in each of the three schools? Six times of a number, minus the difference of 26, and 26 plus the sum of a number equal to find a number Wang Bodong collected a total of 2750 kg of rice and corn last year, which is 250 kg more than three times that of corn. How many kg are rice and corn?
- 19. A cone-shaped sand pile has a bottom circumference of 31.4 meters. A car can transport 8 cubic meters at a time. How many times can it be transported? (keep the number in integer)
- 20. A shopping mall participated in the financial insurance, the amount of insurance is 40 million yuan, the insurance rate is 0.75%. An accident, the loss of goods worth 6.5 million yuan, the insurance company compensate 5 million yuan. How many million yuan is the actual loss of the shopping mall?