1. Multiple choice questions (Each question has four alternative answers, A, B, C and D, but only one is correct. Please put the letter indicating the correct answer in brackets after the question. 3 points for each small question, * * 30 points. ) 1. Calculation: 2+4+6+…+ 18+20 =. A.110b.100c.90d.1203. A KFC restaurant is about 25 steps long and 20 steps wide. It is known that the size of a step is about 60 cm, so the area of this restaurant is about () square meters A.500 b.30000 c.18000 d.1804. A "liquid crystal" color TV set costs 8000 yuan, which will be promoted during New Year's Day. The preferential terms are 1000 yuan for sending 65438. 5. A pot can only hold three cakes at a time, 1 cake has two sides, baking one side takes 1 minute, and baking seven cakes takes at least () A. 10 minute. B.5 minutes C.4 minutes D.3 minutes 6. Nutritionists believe that the nutritional intake of 420g milk is equivalent to 620g. A.2 10b.420c.560d.840 7。 The vendor selling "coconut juice" accidentally knocked over the coconut juice can. If placed according to the rules shown in the figure, there is one on the top floor, and a coconut milk can should also be placed (). A.4b.8c. 16d. 17 9。 If July 1 is a Monday, then July 25th this year is () A. Tuesday B. Wednesday C. Thursday D. Friday 10. A shopping mall once sent 100. The third prize 15, the winning rate of this lottery ticket is () a.100% b.21%c.16% d.1%ii. Fill in the blanks (3 points for each question, * * 30 points). 12. Xiaohong bought a coat in the mall, and the price was 100 yuan, with a 20% discount. Xiaohong actually spent RMB. 13. A deck of 54 playing cards is dealt to A, B, C and D respectively. If the first card is dealt to A, the last card should be dealt. (fill in any one of a, b, c and d) 14. Every100g of milk contains protein 20. 1 g, so 200g of milk contains protein grams. 15. A classmate took her pulse and jumped 18 times in/0/5 seconds, so Xiaohong jumped 1 minute or so. 17. Xiaoming has four blue, yellow and white shirts and two pairs of black and gray trousers. If he wants to match one of these clothes, he may have a choice. 18. To package a rectangular commodity with a length of 10 cm, a width of 7 cm and a height of 4 cm, at least one square centimeter of wrapping paper is required, excluding seams and overlapping parts. 19. Three adhesive tapes are wrapped into a cuboid, and * * * has a packaging method. 20. If Xiaowen draws four straight lines in a circle, the circle can be divided into several parts at most. 3. Answer questions (***40 points) 2 1. Mom bought two bags of rice at the grocery store (35.4 yuan each), as well as beef, vegetables and fish from 6.7 yuan Li 14.8 yuan. Please use the estimated knowledge to explain that mom brought 100 yuan? 22. Liang Xiao wants to help her mother do housework on Sunday. The time required is as follows: (1) Tidy up her bedroom for 8 minutes; (2) mop the floor 10 minute; (3) clean the mop for 3 minutes; (4) Use an electric heater to heat the bath water for mother for 30 minutes. How can Liang Xiao arrange the time reasonably to make the time spent shortest? 23. The two tool factories under the Municipal Machinery Bureau: "First Tool Factory" and "Second Tool Factory" (hereinafter referred to as "One Tool" and "Two Tools") are as follows: the profits of the two factories in the last four quarters (unit: 10,000 yuan). In the first quarter, the second quarter, the third quarter and the fourth quarter, a tool 2000170016001500160018001900 (/kloc-) (2) What were the profits of the two factories last year? What is the average monthly profit of each factory (accurate to ten thousand yuan)? 24. The three stores promote the same new brand of drinks, and introduce preferential strategies respectively. A shop bought a large bottle and gave one away for free. 10% discount at shop B; Store C has achieved a 20% discount in 30 yuan. Bottled drinks (1200ml) 10 yuan, canned drinks (200ml)2 yuan. (1) Which store is cheaper to buy 1 cans of drinks? (2) Which store is cost-effective to buy 1 large bottles and 1 cans of drinks? (3) Which store is cost-effective to buy three bottles of drinks and three cans of drinks? 25. The following table shows the content of each ingredient in each 100g food: (unit: gram) Food name protein fatty carbohydrate beef 20.1.1.20.1bean products 44.821.8/kloc-0. 438+0.6 73 Xiaolin's lunch today is: braised beef 150g, home-cooked tofu 50g, stir-fried dishes 100g and steamed bread 50g. Calculate the nutritional components in Kobayashi's lunch and fill in the following table (unit: gram). Food Name protein Content Fat Content Carbohydrate Content Beef (150g) Vegetable (100g) Tofu (50g) Flour (50g) Total 26. Nutritionists divide various foods into four categories, and the names of the four categories are given in the table below. Food Name:/kloc-Daily intake of various foods required by children aged 0/2. Remarks: the first kind of milk, eggs, 420g of milk or eggs per bag,150g of milk, about 8 second-class fish, meat, tofu, 265438+200g of fish or 180g of meat or 360g of tofu, a drumstick, about 90g of third-class vegetables, 900g of fruit or tofu. How many grams does it take to choose meat? 27. Go board is a square consisting of vertical and horizontal 19 line segments. How many black and white pieces do you need if you arrange the black and white pieces according to the rules shown in the figure? Respondents: Yao —— Trainee Magician Level 31-2416: 291.1. Calculate (-2x2) 3 = 2. According to the statistics of the fourth population census, the existing population in China is about1300 million. Use scientific notation 3 to represent a person. Calculate 48× 0.258 = 4. (x+ 1) (x+2) = 5。 (4a+) 2 = 16a2+8a+6。 If it is completely flat, the value of m is 7. If (x+P), then the value of p is 8. Calculate 3 1 29' 35 '× 4 = 9. As shown in the figure, the straight lines l 1‖l2, ∠ 1 = 105, ∠ 2 = 65438+. The angle equal to ∠B in the figure is 1 1. Proposition: If ∠ 1=∠2, ∠2=∠3, then ∠ 1=∠3. Then ∠C= degree 2, multiple-choice questions (2 points for each question, * * 18 points) 14. The following calculation is correct: (-A3) 4 = A 12b. A3.A4 = A 12C。 *** 10) 29. The starting price for taking a taxi in a city is 10 yuan (that is, the fare for driving within 5km is 10 yuan). After reaching or exceeding 5km, the fare will be increased by 1.2 yuan for each additional 1km (the part less than 1km is 65438). 1. Calculate (-2x2) 3 = 2. According to the statistics of the fourth population census, China's existing population is about1300 million, which is expressed by scientific notation. The calculation is 48× 0.258 = 4. (x+ 1) (x+2) = 5。 (The value of. m is 7. If the product of (x+P) and (x+2) does not contain the linear term of x, the value of p is 8. Calculate 3 1 29' 35' × 4 = 9. As shown in the figure, the straight line l 1‖l2, ∞. The angle equal to ∠B in the figure is 1 1. Proposition: If ∠ 1=∠2, ∠2=∠3, then ∠ 1=∠3. Then ∠C= degree 2, multiple-choice questions (2 points for each question, * * 18 points) 14. The following calculation is correct: (-A3) 4 = A 12b. A3.A4 = A 12C。 *** 10) 29. The starting price for taking a taxi in a city is 10 yuan (that is, the fare for driving within 5km is 10 yuan). After reaching or exceeding 5km, the fare will be increased by 1.2 yuan for each additional 1km (the part less than 1km is 65438). "Intersecting lines, parallel lines" 1. Two angles whose sum is (1) are adjacent complementary angles; () (2) If two angles are not equal, then the two angles are not opposite. () (3) Two straight lines are cut by the third straight line, and the same angle is equal. () (4) If the straight line ‖, then ‖ () (5) Two straight lines are parallel and the internal angles on the same side are equal. () (6) Two straight lines where the bisectors of adjacent complementary angles are perpendicular to each other () (7) Two straight lines intersect, and one of the four angles formed must be acute () (8) If the straight lines are straight, then ‖ () 2. Multiple choice questions (1) In the following statement, () has a common * *, which is correct. Two complementary angles are not equal, and two angles with opposite extension lines on both sides are three lines (2) intersecting at one point to form three pairs of plantar angles. As shown in the figure, if AD‖BC, there is ①∠A+∠B =②∠B+∠C =③∠C+∞. Then ∠BCE equals () (a) ∠1+∠ 2 (b) ∠ 2-∠1(c)-∠ 2+∠1(. The basis of this reasoning is () A, equivalent substitution B, parallel axiom C, two lines are parallel, congruence angle equals D, and two lines parallel to the same line are parallel. 3. Fill in the blanks, as shown in the figure, ∠3 and ∠B are straight lines AB and _ _ _ _ _ _ _ _. ∠ 1 And ∠A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 2 and ∠ A is _ _ _ _ _ _ _ _ _ _ _. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ As shown in the figure, AB‖CD and ∠A∠EFD are given to AB, and CD to E and F respectively. Proof: EG‖FH Proof: ∫ab‖CD (known) ∴∠∠ AEF = ∠ EFD (_ _ _ _ _ _ _) ∫ eg bisection ∞. ∞_ _ _ _ _ _ =∠EFD (definition of angular bisector) ∴ _ _ _ = ∞ _ _ _ _ _ _ ∴ eg ‖ FH (_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ There are parallel lines in your home, such as 4. A triangular prism has 10 faces. 5. When the pattern below is folded into a cube, the number _ _ _ will be on the plane opposite to the plane where the number 2 is located. 4 5 6 1 2 3 6. In a book called Mathematics and Imagination, the authors Edward Casner and James Newman introduced a large number called "Gugor", which was both large and good, and was quickly adopted by the author in the article "Mathematics Popularization". Googol is a number, followed by a hundred zeros after the number 1 If this number is expressed by scientific notation, it can be expressed as 7. If the diameter of a circle is d cm, its circumference is cm and its area is cm. If the diameter of this circle increases by 1cm, then its circumference increases by cm; 8. If point A is represented on the number axis, then the number represented by the point three length units away from point A on the number axis is _ _ _ _ _ _ _ _. 9. In the calendar, the sum of two adjacent numbers on a vertical line is 27, so the smaller one of these two numbers is 10. Suppose there are enough black and white Go players to line up according to certain rules: … Is the 2003rd chess piece black or white? Answer: _ _ _ _ _ _. Second, choose one (3 points for each question, * * 15 points) 1 1. School, home and bookstore are located in a north-south street in turn, with the school home 20 meters south and the bookstore home 65438+ north. At this time, Zhang Ming's position () A. At home B. At school C. At the bookstore D. On the road 12, the solution of equation 3x-6 = 2 (x+5) is () A, 4 B,1c,16 d. In the following four data, please choose a reasonable data to represent the thickness of LCD () a, 5mm b, 5cm c, 5cm d, 5m 14. The following events, which you think are inevitable: () A. It was sunny on the first day of Huangyan New Year's Day, and Wan Li B. Xiao Ming said that there was a sudden power outage at home last night because of poor lighting. I accidentally bit my nose while eating. C, New Year's Day happens to be 65438+ 10/d, and a bag contains three white balls and seven red balls, all of which are the same except the colors. I reached out and took out a white ball. A, B, C and D sit face to face at a square table. On a piece of paper on the table, the number "9" is written. A said he saw "6", B said he saw "",C said he saw "9" and D said he saw "9". Then the following statement is correct ————— () A. A is opposite to D, and B is on the left. On the left is D, A is opposite to D, B is on the right, and C is on the right. (3) Do 16 and calculate (4 points for each question, *** 12 points): (1)-8+4 ÷ (-2) (2) 8 points) (1) 5xy2+2xy2-3xy2-x2y (2)-2x+5 (x+2y)-(x-3y)18, (5 points) simplify first and then evaluate: 2 (x-y)-3 (x (3) Point out that there is a line segment in the drawing. 20.(6 points) Put a pair of triangular plates together as shown in the figure to draw an angle of120. What other angles can you draw with this set of triangles? If you can draw three different angles correctly and mark the corresponding degrees, you can get 6 points; If you can tell me other angles, so much the better. ) 2 1, (6 points) Xiaoling solves the equation: the steps are as follows: remove the brackets and get; Move the item and get it; Merge similar items to obtain; Finally, I had to. But after testing, it is not the root of the original equation. Please check, what's wrong with the above problem-solving process? And correct it. 22.(8 points) The price of a commodity is 900 yuan per piece. In order to participate in the market competition, the store will give 40 yuan a 10% discount on the selling price and still make a profit of 10%. What is the purchase price of this commodity? 23.(9 points) The following table shows the daily temperature changes recorded by Xiao Ming at 12 during the week of June (the temperature rose to a positive value and decreased to a negative value compared with the previous day). 1 month 1 daily temperature change 123456 /oC actual temperature /oC 1) If the temperature was 12 at noon last Sunday, (please complete the above table) 2) What is the difference between the highest temperature and the lowest temperature this week? 3) If you want to show the temperature changes this week. What statistical chart would you choose? According to the above data, please draw a picture. Second, learn to look at the world from a mathematical perspective (each question 10 points ***30 points) 24. There is such a problem: "calculate the value, in which". A student mistakenly copied ""as "",but the final result of his calculation was the same as that of other students. Try to explain the reason and find out the result. 25. There is a piece of paper with a thickness of 0.1mm. If it can be folded in half continuously, (1) will be folded in half continuously 10 times. * * * How many floors are there? (2) After being folded in half for 20 times in a row, is it as high as the teaching building of our school? Please explain your answer. 26. Have you read The Journey to the West? If you are a careful reader, you will find that this literary masterpiece also contains many mathematical problems. The following is a plot in The Journey to the West: According to legend, the Monkey King, the Great Sage of Qitian, met an evil ghost on his way to escort Tang Priest to fetch Buddhist scriptures from the West. The evil spirit shouted, "I have practiced for hundreds of years to get where I am today." What is your age? Get out of my way! " At this moment, the Monkey King laughed and said, "You said I was blind when I was young. You can't even reach my grandson! Listen: I am king in Huaguoshan at the age of one quarter; Then I became the Monkey King for 290 days, which means you spent 290 years in the underworld. Because of the havoc in heaven, he was crushed under the Five Elements Mountain and spent half his life. Then I escorted Master to the Western Heaven for Buddhist scriptures. It has been ten years since then. You calculate how old I am! " ..... Students, can you find out the Monkey King's age at that time?