Sixth grade Olympic mathematics examination paper 1. Calculate (5×5=25 points) 1, 4 9 16 25 (36) (49) (64) 2,13610 (15) (265438). 2 6 18 54 ( 162) (486) ( 1458) 4、65432 1× 123456-65432 1× 123455=65432 1 5、 1 / Kloc-0/1/kloc-0 /×11111=12345432/kloc-. 2. Nine copper coins, one of which is fake, and the authenticity is only different in quality. If you weigh it at least (8 times) with a balance without weight, you can definitely find out the fake copper coins. 3. There is a warehouse ***5 warehouses every100km on the highway. Warehouse 1 has 10 tons, warehouse 2 has 20 tons, warehouse 5 has 40 tons, and the other two warehouses are empty. Now I want to put all the goods in one warehouse. If the freight of 1 km per ton of goods needs 1 yuan, then it needs at least (10000) yuan. 1 No.2 100 km/No.3 100 km/No.4 100 km/No.5 10 t 20 t 40 t 207 students in grade four and six, boys 2/10. 5. Xiaolan and Xiaoli play guessing games. Xiaolan writes a four-digit decimal on the straight line for Xiaoli to guess. Xiaoli asked, "Is it 603 1?" Xiaolan said: "I guessed a number, and the location is correct." Xiaoli asked again, "Is it 5672?" Xiaolan said: "I guessed both numbers correctly, and neither position is right." Xiaoli asked again, "Is it 4796?" Xiaolan said, "I guessed four numbers right, but none of them are right." Can you infer the four digits written by Xiaolan from the above information? 6. If 20 rabbits can be exchanged for 2 sheep, 8 sheep for 2 pigs and 8 pigs for 2 cows, how many rabbits can 4 cows be exchanged? 640 7. Light light blue is 8 years old and my father is 38 years old. How old is light light blue? Dad is exactly four times as old as light light blue. 10 8. For the people, every three empty soda bottles can be replaced by 1 bottle. In the summer vacation, light light blue bought 99 bottles of soda, and then changed them with empty bottles. How many bottles of soda can she drink at most? 147 9. In a division formula, the sum of dividend, divisor, quotient and remainder is 75, the known quotient is 8, and the remainder is 2. What are the dividend and divisor? 58 7 10. There are two iron wires of the same length. The first one is minus 30cm, the second one is minus 18cm, and the remaining length of the second one is twice that of the first one. How many centimeters is left in the second wire? 24 1 1, there are 1, 2, 3, 4, 5, 6, 7, 8 and 9 cards, each with three cards. A said, "The product of my three cards is 48", and B said, "The sum of my three cards is 65430. How many different rectangles can a 238 564 179 12.24 cm long iron wire enclose (the length and width are all whole centimeters, not counting joints)? What are the areas? Compare it again. What can you find? 6 13 Master Zhang is used to taking two days off every five days of work. Recently received the task of producing 330 parts. He produces 30 parts every day. How many days will it take to complete this task? On Sunday, Xiaohui took a taxi to visit her grandmother 8 kilometers away. When taking the bus, he looked at the fare list on the taxi: 8 yuan within 5 kilometers; More than 5 kilometers per kilometer in 2 yuan. How much does Xiaohui have to pay to go to grandma's house? 14 15, a decimal, if its decimal part is expanded by 4 times, it will get 5.4; If you enlarge its decimal part by 9 times, you get 8.4. What is this decimal? 3,616, average height of Party A and Party B 1.66 m, average height of Party B and Party C 1.7 m, average height of Party A and Party C 1.65 m, so what is the average height of Party A, Party B and Party C? 1。 The sum of 67 17, A, B and C is 270, A is three times that of B and B is twice that of C. What are the numbers of A, B and C respectively? 180 60 30 18, there are two coal yards A and B. The coal storage capacity of coal yard A is three times that of coal yard B. If 180 tons is transported from coal yard A to coal yard B, the coal storage capacity of the two coal yards is equal. How many tons are there in Coal Yard A and Coal Yard B? 540 180 19, five players line up to do exercises, among which 1 new players can't stand at the head. How many different arrangements are there? There are 50 students in Class 6 (1), 25 can swim, 28 can do gymnastics and 5 can't. How many students can swim and do gymnastics? 8 2 1. It takes 6 hours for the ship "Youth" to sail along the river at 120km, and 20 hours to sail against the current at 280km. How many hours does it take for a ship to sail 340 kilometers in still water? 20 22. Arrange all the simplest false scores with denominator of 15 from small to large, and find the numerator of the 99th false score. 2 14 23. Make a bouquet with 96 red flowers and 72 white flowers. If there are the same number of red flowers and the same number of white flowers in each bouquet, how many flowers are there in each bouquet? 84