1. Special topic of Olympic thinking training in the third grade of primary school 1
The school will award a batch of pencils to three outstanding students. If everyone wins 9, they will lose 45; If everyone wins 7, there will be 7 less. How many students are there in Sanhao? How many pencils are there? Analysis and answer: This is a lose-lose problem. From the meaning of the question, we can know that the number of students and pencils in Sande is unchanged. Comparing the two distribution schemes, the difference is 45-7=38. This is because the difference between the two distribution schemes is 9-7=2 pencils. So there are 38÷2= 19 students and 9× 19-45= 126 pencils.
Exercise questions:
1. Put Chinese rose flowers in some vases. If 8 flowers are inserted in each bottle, 15 flowers are missing; If there are 6 flowers in each bottle, you will be short of 1 flower. Find out the number of vases and the number of Chinese roses.
2. Miss Wang distributes drawing paper to the students in the art interest group. If each person sends 5 cards, 32 cards will be less; If each person is dealt three cards, there will be two less cards. How many students are there in the art interest group? How many pictures and pieces of paper does Miss Wang have?
The teacher distributed some exercise books to the students in the class. If each person sends 10 copies, two students will not be assigned; If each person sends eight copies, it will be over. How many students are there? How many exercise books?
2. The third grade of primary school Olympiad thinking training topic 2
1, Nanjing Yangtze River Bridge * * * is divided into two layers, the upper layer is a highway bridge and the lower layer is a railway bridge. The railway bridge and highway bridge are * * *11270m long, and the railway bridge is 2270m longer than the highway bridge. How long are the roads and railways of Nanjing Yangtze River Bridge? 2. Three groups 180 people. The sum of the number of people in the first and second groups is 20 more than that in the third group, and the first group is 2 less than that in the second group. Find the number of people in the first group.
There are two baskets of apples, and basket A is heavier than basket B 19 kg. How many kilograms are taken out of basket A and put into basket B, so that there are 3 kilograms more apples in basket B than in basket B?
4. In a subtraction formula, the sum of the minuend, the subtraction and the difference is equal to 120, and the subtraction is three times the difference, so what is the difference?
5. It takes 48 minutes for my sister to do natural problems, 42 minutes for English problems and 44 minutes for arithmetic and English problems. So how many minutes did my sister practice English?
3. The third grade of primary school Olympiad thinking training questions 3
1, the little monkey divides the peaches. The big monkey picked a bunch of peaches and gave them to a group of little monkeys. If two of the monkeys get four peaches each and the other monkeys get two peaches each, there are still six peaches left. If one of the monkeys gets 6 peaches and the other monkeys get 4 peaches, there are 12 peaches left. How many peaches did the big monkey * * * pick, and how many did the little monkey * * * pick?
2, can be divided into
When two positive integers are divided, the quotient is 7 and the remainder is 5. If both the dividend and divisor are expanded to four times the original value, the sum of dividend, divisor, quotient and remainder is equal to 1039. What is the initial dividend? What is the divisor?
3. How old is Teacher Niu?
Teacher Niu took 37 students for a spring outing in the wild. During the break, Xiao Qiang asked, "Teacher Niu, how old are you this year?" Teacher Niu has
I replied interestingly, "My age is multiplied by 2, minus 16, then divided by 2, plus 8, and the result is exactly the total number of people who participated in sports today." Children, do you know how old Mr Niu is this year?
4. Special topic of thinking training in Olympic Mathematics in the third grade of primary school 4
1, Xiaoli is 6 years old this year. Xiaoli's grandmother said that when Xiaoli was 9 years old, her grandmother would be 55 years old, so her grandmother is () years old this year. 2、 1,2,4,5,7,8, 10, 1 1,(),(), 16, 17
There are 6 rabbits in my family, including 2 black rabbits and 4 white rabbits. Each white rabbit gave birth to three more rabbits, and now there are () rabbits at home.
When you get home at night, pull the switch and the light will come on. Pull the switch again and the light won't work. As soon as the naughty dog got home, he pulled the 10 switch. Do you think the light is on or not? Pull it 47 times, bright (), not bright ().
5. Fill in 4, 5, 6, 7, 9, 13 (each number can only be used once) in the following () to make the equation hold.
①()+()=()
②()-()=()
5. Special Topic 5 of Olympiad Thinking Training in the Third Grade of Primary School
1. Fill in the nine numbers 1 ~ 9 in the box below to minimize the product p: p = □□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□, then p = _ _ _ _ _ _ _ _ _ _ _ 2. Let all be natural numbers greater than 0 and =220. When the value of is, the minimum value of is _ _ _ _.
A living group in the factory produced a batch of parts. This production task can be completed in 9 hours when every worker works in the original post. If the jobs of workers A and B are exchanged and the productivity of other workers remains unchanged, this production task can be completed 1 hour in advance; If the jobs of workers C and D are exchanged, and the productivity of other workers remains unchanged, this production task can also be completed 1 hour in advance. If the jobs of A and B, C and D are exchanged at the same time, and the productivity of other workers remains unchanged, this task can be completed _ _ _ _ minutes ahead of schedule.
4. A ship sails between Port A and Port B, sailing downstream from Port A to Port B, and sailing upstream from Port B to Port B. It is known that the speed of the ship in still water is 8 km/h, and the time ratio of retrograde to ground is 2: 1. One day it happened to be a rainstorm, and now the speed is twice as fast as before. It took the ship nine hours to go back and forth. Port A and Port B are _ _ _ _ kilometers apart.
The road from a to b is only uphill and downhill, and there is no smooth road. The speed of the car is 20 kilometers per hour when going uphill and 35 kilometers per hour when going downhill. It takes 9 hours for a car to travel from A to B, and several hours to travel from B to A. The road between A and B is _ _ _ _ _ kilometers long, and it takes _ _ _ _ _ _ kilometers to go uphill from A to B. ..