I'm in the sixth grade, and I'm going to have a mock exam. What are the concepts and formulas of application problem types that mathematics should master, and then I can write a few application problems. Question and answer of primary school Olympic mathematics 1, grid question: Please look at the picture below, please count how many squares there are in the picture. 2. Snail crawling problem: A snail crawls along a well with a depth of 10 meter, climbing 5 meters during the day and sliding 3 meters at night. When can snails climb out of the wellhead? 3, parity problem: turning on the light at night, Xiaohu naughty, pulled 7 switches in a row. Can you tell me if the light is on? We might as well keep asking, pull it eight times? What about nine times? 10? Lianla 100? Can you know if the light is on? After careful observation, we can find the law: pull the pool for several times; Pulled me several times, but the light didn't work. For large numbers, such as la 100, you can see that the light is not on. Because 100 is an even number. 4. Tree planting and listing: Plant trees on one side of a 10-meter-long road, plant one tree every 1 meter, and plant two trees at both ends, for a total of 1 1 tree. If you hang three "Love Trees" cards on three trees at random, and then calculate the distance between every two listed trees, have a look. Then hang three small cards on three different trees and calculate. 5. Ball distribution problem: (1) Divide 10 balls into three groups, and require the number of balls in each group to be odd. How to divide it? (2) Give three children 1 1 apple, and ask each child to get an even number of apples. How to divide it? 6. Change problem: Xiaohua bought a pencil, two erasers and two notebooks, paid one yuan, and the salesman gave him five cents. Xiaohua looked at the price of a pencil and said, Uncle, you have miscalculated. Think about it. Why did Xiaohua know that the account was miscalculated so quickly? 7. Coin problem: There are 7 coins distributed to 2 people. Everyone was asked to get an odd number of coins. Can you do it? If it is distributed to three people, everyone is required to get an odd number of coins. Can you do that? 8. Eat apples: three people eat three steamed buns and eat them in three minutes; According to this calculation, it takes nine people () minutes to eat nine steamed buns. 9. Drawer problem: Put 16 chickens into five drawers respectively, so that the number of chickens in each cage is different. How to put it? Please list the number of chickens in each drawer separately. 10, quick calculation: calculation1+2+3+4+5+6+7+8+9+10.

A: There are three big squares consisting of eight small squares and four small squares in the picture, so there are 1 1 squares in the picture. Answer: Snails climbed 5 meters during the day and dropped 3 meters at night. In fact, it can only climb 2 meters every day. It took three days for the snail to climb 6 meters before, and there are 4 meters left, and it can climb out on the fourth day. Solution: See the table below. In order to answer these questions, we should consider a simple situation and make the following table, which is clear at a glance. Answer: At least one of the three distances (that is, how many meters) is even. Answer: At least one of the three distances (that is, how many meters) is even. The distance between A tree and B tree is AB=3 (m) (odd number), and the distance between B tree and C tree is BC=5 (m) (odd number). It can be considered that if one of the distances AB and BC is even, it goes without saying that if both distances AB and BC are odd, then the sum of AB and BC must be even, because the sum of two odd numbers is even, so at least one of the three distances is even. The answer to dividing the ball: (1) can't be divided, thinking that the three groups of balls are odd, the total number must be odd, but it can't be even, and 10 ball is even; (2) We can't separate them. We think that if every child gets an even number of apples, the total number of apples that three children get must be even, and 1 1 apple is odd. Answer to the change question: Judging from the parity of numbers, you can know that the calculation is wrong without calculation, because a pencil costs 80 cents, which is an even number. In addition, no matter how much the eraser and exercise book cost, the two erasers must be even, so the total amount of money Xiaohua should pay should be even. He paid 1 yuan, which is 100, and the change is 5, which is odd, so it is unnecessary. Answer: 7 is an odd number, and the sum of two odd numbers must be an even number, so it is impossible to give seven coins to two people, and everyone gets odd coins. If you give it to three people, you can; 7 can be divided into an odd number plus an even number, and this even number can be divided into two odd numbers, so the sum of three odd numbers can be 7; For example, 1, 1, 5 or 1, 3,3. Answer: According to the first condition, it takes three minutes for one person to eat one steamed bun, so it still takes three minutes for nine people to eat nine steamed buns. Solution: Of course, this problem can be added step by step from left to right:1+2 = 33+3 = 66+4 =10/kloc-0+5 =15+6 = 21265438. And if you make a mistake, you will make mistakes in the future. This shortcoming can be overcome if the ten-point method is adopted. Answer: From the smallest number: 1, 2, 3, 4, 5, and 15, there is still one missing. Only by putting the last one in the fifth drawer can the number of each drawer be guaranteed to be different, so they are: 1, 2, 3, 4 and 6 respectively.