Current location - Training Enrollment Network - Mathematics courses - Zunyi 17 6th Mathematical Olympiad
Zunyi 17 6th Mathematical Olympiad
The sixth grade math Olympic competition course is named Grade One, and the calculation problem is10% (294.4-19.2× 6) ÷ (6+8)12.5× 0.76× 0.4× 8× 2.52.009× 43. 2006× 2007200720072007-2007× 2006200620062006 II. Fill in the blanks with 75% 1, and fill in the numbers 5, 20, 45, 80, 125, (180) according to the law. 2. Fill in the appropriate numbers in the following () so that the average of the three numbers is 140. (5), (8 )8, (3 )273, 1992 grandpa's age is 10 times that of grandson, while in 12 grandpa's age is four times that of grandson, so grandson is (7) years old in 1993. 4. In a triangle, it is known that the degree ratio of three angles is 2: 3: 6, and this triangle must be () 5. Apple basket A 16 kg, apple basket B 20 kg. Take a part of basket B and put it into tube A, so that basket A increases by (12.5 )%, and the two baskets are equally heavy. 6. It is known that A+B=95, and both A and B are integers. When the product of AB is maximum, A is (48) and B is (47). As we all know, Xiao Qiang was born six years earlier than Xiao Gang. This year, Xiao Qiang is twice as old as Xiao Gang and three years younger than Xiao Gang, so the sum of their ages this year is 24 years old. 8. A train traveled 360 kilometers in the first three hours, then increased the speed by 10% and traveled for another two hours, so the train traveled (624) kilometers. 9. As we all know, the bottom area of a cylinder is equal to the side area. If the height of this cylinder is 5cm, then its volume is _( 1570) cubic centimeter (take 3. 14). There are 49 students in a class, including male students and female students who participate in the math group, so the students who do not participate in the math group in this class are. 1 1. A man spent 140 yuan bought a coat, a hat and a pair of shoes. A coat is more expensive than a hat, 90 yuan. A coat and a hat are more expensive than shoes 120 yuan. Ask for a pair of shoes (10 yuan). 12, distribute pencils to students of 10, and each student has 3 pencils left; Four cigarettes per person is not enough. If there are as many left as there are not enough, there are (35) pencils. 13, Obana Xiao Min * * has 25 pencils. If Xiaohua uses 4 pencils and Xiao Min uses 3 pencils, then Xiaohua has 2 more pencils than Xiao Min. Xiaohua originally had (14) pencils. 14, the price of a ballpoint pen is the price of a pen. I spent 13.6 yuan to buy three ballpoint pens and five * * * ballpoint pens at a unit price of (1.2) yuan. 15. The surface area of a cuboid is 50 square centimeters, and both sides are squares. If it can be cut into two cubes with equal volume, the surface area will be increased by (10) square centimeters. 16, Xiao Ming mistook the divisor 38 for 83 when calculating the division. The quotient and remainder of the calculation result are both 38. If the divisor is correct, the quotient should be (84). 17, two bottles of salt water, the concentration of salt water in bottle A is three times that of bottle B. After mixing bottle A 100g of salt water with 300g of salt water in bottle B, new salt water with the concentration of 15% is obtained. Therefore, the concentration of salt water in bottle A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ One number is __93_. 19. There is a wheat field and a vegetable field. Half of vegetable fields and 1/3 of wheat fields add up to 13 hectares. Half of the wheat fields and13 of the vegetable fields add up to 12 hectares. What about the vegetable fields? 18) hectares. 20. The two teams jointly built a canal. Team A completed 7.2 kilometers more, while Team B completed the equivalent of Team A's. The canal is 28.8 kilometers long. There are 76 students in Grade 2 1 Grade 5. Among them, 13 girls and half boys took part in the math contest, and the rest of the boys and girls were evenly matched. There are 8 more boys than girls in this grade. 22. In the past, Xiao Qiang's average score in mathematics was 84. This time, he has to score 100 to get an average score of 86. This is the eighth exam. 23. A chemical fertilizer plant originally planned to complete a task in 14 days, but it completed the task in 9 days because it produced 3.5 tons of chemical fertilizer every day. Initially, it was planned to produce (6.3) tons of fertilizer every day. 25. A ship sails from place A to place B at a speed of 30 kilometers per hour, and then returns the same way. If the average speed of going back and forth is 40 kilometers, then you have to sail (60 kilometers) per hour when you return. 26. Three students, Xiao Zhao, Xiao Zhang and Xiao Wang, estimated the number of books in the wheat bag. Xiao Zhao said: "There are at least 10 books in the schoolbag and at most 15 books." Xiao Zhang said, "There are less than 10 books in the schoolbag." Xiao Wang said, "There are at least 1 book in the schoolbag and at most 15 books." But michaels said, "Only one of you three is right." In this way, Max has (0) books in his schoolbag. Third, the application question 1, Xiaoming starts from home at 6: 50 every morning and arrives at school at 7: 20. The teacher asked him to arrive at school six minutes early tomorrow. If Xiaoming leaves home at 6: 50 tomorrow morning, he must walk 25 meters more than usual every minute according to the teacher's request to get to school on time. Q: How far is Xiaoming's home from school? Solution: 25×(30-6)÷6×30=3000 (m) 2. As shown below, make two semicircles with two right-angled sides of the right-angled triangle ABC as the radius. Given that the sum of the lengths of these two semicircles is 37.68 cm, what is the maximum area of triangle ABC? (take 3. 14) 3. There are three square pools, big, medium and small, with the inner sides of 4m, 3m and 2m respectively. If two piles of gravel are immersed in the water of small and medium-sized ponds respectively, the water levels of the two ponds will increase by 4cm and 1 1cm respectively. If both piles of gravel are submerged in a big pool, then the big pool.