Mathematical Olympiad calculations and ingenious calculations in primary school
The following are some common types and methods of quick and clever calculations in primary school Mathematical Olympiad: ** 1. Clever calculations in addition ** 1. ** Rounding Method ** - When adding several numbers, if there were two numbers that could be added together to get a whole ten, a whole hundred, a whole thousand, etc., they could be added first. For example, 24 + 44+56, because 44 + 56 = 100 is a whole hundred, so first calculate 44+56, then add 24, that is, 24+(44 + 56)=24 + 100 = 124. - For an equation like 53+36 + 47, because 53+47 = 100 was a whole hundred,+47 could be moved with the sign to the front of +36, and then (53+47)+36 = 100+36 = 136. 2. ** Split and Rounder Method ** - In the case of 96+15, 15 was split into 15 = 4+11, because 96+4 = 100, which could be rounded up first, that is, 96+15 = 96+(4+11)=(96 + 4)+11 = 100+11 = 111. - For 52+69, since 69+31 = 100, 52 was split into the sum of 21 and 31, and then 31+69 = 100 was rounded up, which was 52+69=(21+31)+69 = 21+(31+69)=21 + 100 = 121. - When calculating 63+18+19, 63 was split into 63 = 60+2+1. Because 2+18 and 1+19 could be rounded up, 63+18+19 = 60+2+1+18+19 = 60+(2+18)+(1+19)=60+20+20 = 100. 3. ** The clever calculation of adding the same number ** - For 28+28+28, you can think of it this way, because 28+2 = 30 can be rounded up, but in the end, you have to subtract the three additional 2s, that is, 28+28+28=(28 + 2)+(28 + 2)+(28+2)-6 = 30+30+30 - 6 = 90 - 6 = 84. ** 2. Clever calculation in the substitution (position swap method)** - In an algorithm, the position of the numbers could be changed, and the order of the calculation of the numbers could be changed. For example, 632 - 156 - 232 = 632 - 232 - 156 = 400 - 156 = 244. ** 3. Clever calculations in multiplication ** 1. **"Tongbu" and "Butong" Quick Calculation Method ** - If the sum of two numbers was equal to 10, then the two numbers were complementary. In the integral multiplication operation, for example, 72×78, where the ten digits of the multiplication and the multiplication were the same, and the single digits were complementary (this kind of formula was called "same head, complementary tail" type), and 26×86, where the ten digits of the multiplication and the multiplication were complementary, and the single digits were the same (this kind of formula was called "complementary head, same tail" type), there were very simple and direct fast calculation methods. They were called the "same-complementing" fast calculation method and the "complementing the same" fast calculation method. ** 4. Other methods ** 1. ** Borrowing Method ** - Borrowing a number from a number, turning it into a whole ten or a whole hundred or a whole thousand, and finally, deducting the borrowed number. For example, 9+99 +999+9999=(10 - 1)+(100 - 1)+(1000 - 1)+(10000 - 1)=10+100 + 1000 + 10000 - 4 = 11106. 2. ** Choose a reference number ** - Among all the numbers, find that everyone is close to this number (this number is the benchmark number), first multiply the number of numbers by this benchmark number, and finally, subtract the excess. For example, 489+487+483+485+484+486+488. First find the base number 490 among these numbers, then use 490×7. Finally, subtract the excess, which is 490×7 - 1 - 3 - 7 - 5 - 6 - 4 - 2 = 3430 - 28 = 3402. Read more exciting novels for free
An Analysis of the Ten Difficult Questions in Primary School Mathematical Olympiad
The following is an analysis of the ten difficult questions commonly seen in primary school Mathematical Olympiad: ** One, Return to One Problem ** 1. ** Meaning ** - When solving a problem, the first thing to do was to find out how much a portion was (that is, a single amount), and then use the single amount as the standard to find the required amount. 2. ** Number of relationships ** - Total amount/portions = single amount; single amount × portions = the number of portions required; or total amount A/(total amount B/portions B)= portions A. 3. ** Solution train of thought ** - First, find a single quantity. Using a single quantity as the standard, find the required quantity. For example, if you want to buy 5 pens, you need 0.6 yuan. If you want to buy 16 pens, you need to find 0.6 + 5 = 0.12 yuan for one pencil, and 0.12×16 = 1.92 yuan for 16 pens. ** 2. The problem of returning to the main body ** 1. ** Meaning ** - When solving a problem, first find the "total number" and then solve the problem according to the known conditions. The so-called "total quantity" could refer to the total price of the goods, the workload in a few days, the total output of a few acres of land, the total journey in a few hours, and so on. 2. ** Number of relationships ** - 1 serving x number of copies = total amount; total amount/1 serving = number of copies. 3. ** Solution train of thought ** - He would first find the total number before solving the problem. For example, the clothing factory originally used 3.2 meters of cloth to make a set of clothes. Originally, it made 791 sets of clothes, so the total amount of cloth was 3.2×791 = 2531.2 meters. Now, each set of clothes used 2.8 meters of cloth, which could make 2531.2/2.8 = 904 sets. ** 3. Problem of sum and difference ** 1. ** Meaning ** - Given the sum and difference of two quantities, find out what the two quantities are. 2. ** Number of relationships ** - Large numbers =(sum + difference) div2; Decimals =(sum-difference) div2. 3. ** Solution train of thought ** - Simple questions could be solved by applying the formula, while complex questions could be solved by adapting the formula. For example, Class A and Class B had a total of 98 students. Class A had 6 more students than Class B. Class A =(98 + 6) div2 = 52 students, Class B =(98 - 6) div2 = 46 students. ** 4. The Problem of Summing Times ** 1. ** Meaning ** - Given the sum of the two numbers and "how many times the large number is a fraction (or how many fraction of the large number is a fraction)", find out what the two numbers are. 2. ** Number of relationships ** - Sums × (Multiple + 1)= Lesser Number; Sums-Lesser Number = Greater Number; or Lesser Number × Multiple = Greater Number. 3. ** Solution train of thought ** - Simple questions could be solved by applying the formula, while complex questions could be solved by adapting the formula. For example, there were 248 apricot trees and peach trees in the orchard. The peach trees were three times the number of apricot trees. There were 248/(3 + 1)=62 apricot trees and 62×3 = 186 peach trees. ** 5. The problem of the difference ** 1. ** Meaning ** - Given the difference between the two numbers and "how many times the large number is a decimal (or how many times the small number is a large number)", find out what the two numbers are. 2. ** Number of relationships ** - The difference between the two numbers divided by (multiple- 1)= lesser number; lesser number × multiple = greater number. 3. ** Solution train of thought ** - Simple questions could be solved by applying the formula, while complex questions could be solved by adapting the formula. For example, the number of peach trees in the orchard was three times that of apricot trees, and there were 124 more peach trees than apricot trees. There were 124/(3 - 1)=62 apricot trees and 62×3 = 186 peach trees. ** 6. Multiple ratio problem ** 1. ** Meaning ** - There are two known quantities of the same kind, one of which is several times the other. When solving a problem, first find the multiple, and then use the multiple ratio method to calculate the required number. 2. ** Number of relationships ** - Total amount A/quantity A = multiple; quantity B× multiple = total amount B. 3. ** Solution train of thought ** - First, find the multiple, then use the multiple ratio relationship to solve. ** 7. Age problem ** 1. ** Key Points ** - The precession of the equinoxes (the difference in age) never changed, but the sum of years and the multiple of years changed. The precession of the equinoxes, the sum of years, and the difference of sum had to correspond to the multiple and time. ** 8. The problem of cows eating grass ** 1. ** Meaning and Key Points ** - For example, the grassland would grow grass at a constant rate every day. The key to the problem of cows eating grass was to determine how much grass they would grow every day. 2. ** Solution train of thought ** - Usually, a cow was set to eat one unit of grass a day. The original amount of grass and the amount of grass grown per day were calculated by the number of days that different cows ate grass. Then, the number of days that a given number of cows ate grass was calculated. Like a blade of grass that can feed twenty-seven cows for six days (A total of 27×6 = 162 units of grass were eaten, including the original grass and 6-day-old new grass), which could feed 23 cows for 9 days (a total of 23×9 = 207 units of grass were eaten, including the original grass and 9-day-old new grass). The amount of new grass per day could be calculated as (207 - 162)/(9 - 6)=15 units, and the original grass was 162 - 6×15 = 72 units. Then, the number of days that the 21 cows ate grass was calculated. ** 9. Quick and skillful calculations (for lower grades)** 1. ** Meaning ** - For first-year students, calculation was the first problem they encountered in their studies and was the focus of their studies. For second-year students, calculation was also the focus and difficult part of their Mathematical Olympiad studies. ** 10. Enumeration Questions (For Lower Grades)** 1. ** Difficulty analysis ** - For second-year students, orderly and abstract thinking was more difficult. For questions, second-year students were more willing to make up the numbers to try to answer the questions. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What are the recommendations for innovative thinking in primary school Mathematical Olympiad?
The following are some recommended books for primary school Mathematical Olympiad students: 1. " Mathematical Olympiad Star's Classic Question Bank of innovative thinking," published by China Forest Press on January 1, 2008. The author was Liu Xianguo. 2. Learning and Thinking, Thinking and Creation, also known as the Big White Book, was a set of books with more difficult questions in the learning and thinking system. 3. The 1998 Guangdong-Hong Kong Mathematical Olympiad Invitational Competition for the fourth grade examination paper can also be used as reference material. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Numerology related calculations
Numerology was a theory that used numbers to predict and explain human fate and fortune. In Numerology, people use various numbers to represent human fate and fortune. For example, the numbers 0-9 represent different personality traits and life stages, while the number 10 represents success and wealth. Numerology calculations usually required combining and calculating numbers to obtain a prediction result. These calculations included: The calculation of the five elements of numbers: The five elements of numbers can affect the fate and fortune of humans. For example, the number wood, fire, earth, metal, and water could determine a person's character and class choice. Combination of numbers: Different combinations of numbers can produce different results. For example, the combination of the numbers 5 and 3 means that there may be some challenges and difficulties, while the combination of the numbers 9 and 2 means that there may be some success and wealth. 3. Calculating the relationship between numbers and astrological signs and dates of birth: Numerology also involves calculating the relationship between numbers and human fate by calculating the relationship between astrological signs, dates of birth, and other factors. It should be noted that Numerology is only a theory, and its predictions are not absolutely accurate. It is only for reference and entertainment.
Fan Sizhe's calculations
Fan Sizhe had shown his outstanding ability to calculate in the TV series Joy of Life. He was good at doing business and was very sensitive to numbers. He could easily calculate complicated numbers. Under Fan Xian's guidance, he formulated a detailed plan, opened the Danbo Bookstore, and sold " Story of the Stone " and " Banxianzhai Poetry Collection," achieving great commercial success. Therefore, Fan Sizhe was very good at calculation.
E-book on macro calculations
" Calculating the Big Balance: An Essay on Economics " was published by the Economics and Sciences Press in 2011. No e-book version was found. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
It's best to use that kind of Mathematical Olympiad book in the fifth grade of primary school.
The choice of Mathematical Olympiad books depended on one's interests and level of mathematics. For the fifth grade students, it is recommended to choose a book suitable for the basic level and pay attention to interest and inspiration. Some examples of Mathematical Olympiad books suitable for fifth grade elementary school students include: - Elementary Mathematical Olympiad ( ) - "Primary School Mathematical Olympiad Real Reality Simulation Test Questions"( ) - Math Paradise ( ) These books cover basic mathematics knowledge and provide a variety of topics and challenges suitable for stimulating students 'interest in learning and improving their mathematical ability. Of course, he could also choose some more advanced course books to challenge his own mathematics level. It is recommended that you carefully evaluate your mathematics level and interest before buying.
A novel recommended for writing tricks and calculations
I recommend the light novel " Everything is a Plan." It was a fantasy novel. The protagonist, Zhuge Yufeng, was intelligent and good at planning. He could strategize in all kinds of situations and play all kinds of tricks. This book was about scheming and scheming. It was very suitable for readers who liked this type of novel. In addition, there was also " I Am the Common Villain in the Fictions ". The protagonist had transmigrated to become the common villain of the three novels. In the original book, he used the advantage of the villain to push the original protagonists down from the altar. This novel was also a wonderful piece of work about counter-plots.
Reborn 50 military wives are divine calculations
Reborn 50 Military Wife Is a Divination is a novel by author Yinghu Yuhe. According to the search results, the novel described a big data administrator who was reborn in 1999 and obtained a big data system in 2019. The protagonist started a wonderful life by knowing everyone's situation twenty years later. However, other than that, the search results did not provide any more information about the novel.
What are the novels about fantasy calculations?
He recommended a few novels. " Divination in the Mind " was an oriental fantasy novel written by Han Xiang. It could predict good or bad luck and read all kinds of things in the world. " The Demon Lord of Ji Du in the Wilderness " was a Xianxia novel written by Chen Zhong. It told the story of a later generation otaku who crossed the Wilderness and fused with the Star Lord of Ji Du. It was a refreshing story in the Wilderness. The identity of the protagonist was very interesting. 'Super God-tier Beastmaster', a fantasy novel by Uti. Lin Heng had transmigrated to the world of the beast taming civilization. Although he wasn't a divine-tier beastmaster, his subdued beasts were super powerful, and his character settings were rich. Genius was a Xianxia novel written by Wandering Dragon. Ji Xiaotian's computing ability was extremely strong, and he was a tough and straightforward protagonist. " National Game: Hack From the Zombie Apocalypse " was a game novel written by the Empire's Black Iron Warrior. After Fang Heng transmigrated, he had a zombie clone that could hack. The early stages were generally exciting, and the later stages were wonderful. It was a godly work in the invincible novel, but the main character was evil and neutral. Overall, it was still worth watching. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The beginning of the game began with divine calculations
"'The Beginning of the Opening Begins with Divine Arithmetic' is a work. Young Master Qin is the contracted author of Feilu. He specializes in fantasy, online games, and urban topics. His representative works include 'The Beginning of the Opening Begins with Divine Arithmetic' and is ranked third on the Heaven Ascension Rankings. This work can be read online for free (no advertisements) on the relevant websites. At the same time, it can also be downloaded as a txt-based e-book. It can also be read and downloaded perfectly on the mobile phone. The novel "Battle of Yin and Yang" is equally exciting. Everyone is welcome to click and read it! "