# Elementary School Olympiad # Introduction Many countries in the world have domestic olympiad competitions, and international olympiad competitions are also in full swing. In some other countries, Olympic mathematics does not show "incurable diseases". Instead, it has become a platform for some countries to find outstanding mathematical talents. The following is "Elementary School Students' Mathematical Olympiad Application Problem: Hypothesis Method", I hope it will help you.

Article 1: 1, Party A and Party B have a shooting competition, and it is agreed that each shooting will score 20 points, and the shooting will not be deducted 12 points. Each of them will play 10, and * * * will get 208 points, of which Party A has 64 points more than Party B. How many strokes did Party A and Party B win? Chickens and rabbits have 96 feet. If chickens and rabbits are interchanged, there are 84 feet. How many chickens and rabbits are there?

3, a factory 27 fu * * * with 40 apprentices. Each master can take one apprentice, two apprentices and three apprentices. If there are twice as many masters with one apprentice as other masters, how many masters with two apprentices?

4. Each bus needs 8 Class A parts and 3 Class B parts; Each bus needs 4 Class A parts, 10 Class B parts ... Today, 52 Class A parts and 79 Class B parts are used. How many cars are loaded in each of the two cars?

5. Side length of square living room12m. If a square pure wool carpet is laid in the middle and a chemical fiber carpet is laid on the outside, it will cost 22,455 yuan. It is known that pure wool carpets are 250 yuan per square meter and chemical fiber carpets are 35 yuan per square meter. How many meters is the width of the chemical fiber carpet laid on the periphery?

6. Forty-five students from Class A, Grade 6 donated 100 yuan to the Asian Games, of which 1 1 each student donated 1 yuan, and other students donated to 2 yuan or 5 yuan. How many students asked to donate to 2 yuan 5 yuan?

7. There are 60 bills, each with 1 min, 1 min, 1 yuan, 10 yuan. Is it possible that these bills are 100 yuan? And please explain why.

8. Side length of square living room12m. If a square pure wool carpet is laid in the middle and a chemical fiber carpet is laid on the outside, it will cost 22,455 yuan. It is known that pure wool carpets are 250 yuan per square meter and chemical fiber carpets are 35 yuan per square meter. How many meters is the width of the chemical fiber carpet laid on the periphery?

9, a factory 27 fu * * * with 40 apprentices. Each master can take one apprentice, two apprentices and three apprentices. If there are twice as many masters with one apprentice as other masters, how many masters with two apprentices?

10, each bus needs 8 Class A parts and 3 Class B parts; Each bus needs 4 Class A parts, 10 Class B parts ... Today, 52 Class A parts and 79 Class B parts are used. How many cars are loaded in each of the two cars?

extreme

1, chickens and rabbits in the same cage, *** 100 with 320 feet, how many chickens and rabbits? Xiao Ming calculated 20 contest questions, and got 5 points for doing one right and 3 points for doing one wrong. As a result, Xiao Ming got 60 points. How many questions did he get right?

3. Mother squirrel picks pine nuts. You can pick 20 flowers every day in sunny days and 12 flowers every day in rainy days. It has picked 1 12 pine nuts for several days, with an average of 14 pine nuts per day. How many days has it rained these days?

4. Wang Xiaoer, a self-employed individual, undertook the business of transporting 1200 pieces of glass from a construction company and signed a contract. The contract stipulates: the freight for each glass is 2 yuan; In case of any damage during transportation, apart from deducting one piece of freight, each piece of damage shall be compensated to 25 yuan. After Wang Xiaoer transported 1200 pieces of glass to the designated place, the construction company paid him 2076 yuan according to the contract. Q: How many pieces were damaged during transportation?

5. 100 students afforest the campus. Each teacher plants 3 trees, and each student plants 1 tree, which makes a total of * * * trees 100. How many trees do teachers and students plant?

6.30 coins consist of 2 cents and 5 cents, and the value of * * * is 9.9 cents. How many coins are there in each?

7, a school math competition, * * * has 20 fill-in-the-blank questions. The grading standard is 5 points for each correct question, 3 points for each wrong question, and 0 point for not doing a certain question. Xiaoying got 69 points. How many questions did Xiaoying not do?

8. The school opens at 6 am and closes at 6: 40 pm. There is time for teachers to study together in the afternoon. The teacher said: 1/3 from the opening of the school gate to the present, plus 1/4 from the closing of the school gate, is the present time. So what time is it in the afternoon?

9. A large semiconductor, 25 yuan, a small semiconductor, 19 yuan. A company bought several of these two digital semiconductors for a total price of 360 yuan. What is the total number of these two semiconductors?

Spiders have eight feet, dragonflies have six feet and two pairs of wings, and cicadas have six feet and 1 pairs of wings. Now these three insects have 18, * * * have 1 18 feet and 20 pairs of wings. How many insects are there in each species?