March 16, 2017 Grades 3–4. The time allotted for solving problems is 75 minutes!
Problems worth 3 points
№1. Kanga made five addition examples. What is the largest amount?
(A) 2+0+1+7 (B) 2+0+17 (C) 20+17 (D) 20+1+7 (E) 201+7
№2. Yarik marked the path from the house to the lake with arrows on the diagram. How many arrows did he draw incorrectly?
(A) 3 (B) 4 (C) 5 (D) 7 (E) 10
№3. The number 100 was increased by one and a half times, and the result was reduced by half. What happened?
(A) 150 (B) 100 (C) 75 (D) 50 (E) 25
№4. The picture on the left shows beads. Which picture shows the same beads?
№5. Zhenya composed six three-digit numbers from the numbers 2.5 and 7 (the numbers in each number are different). Then she arranged these numbers in ascending order. What number was the third?
(A) 257 (B) 527 (C) 572 (D) 752 (E) 725
№6. The picture shows three squares divided into cells. On the outer squares, some of the cells are painted over, and the rest are transparent. Both of these squares were superimposed on middle square so that their upper left corners coincide. Which of the figures is still visible?
№7. What is the most small number Should the white cells in the picture be painted over so that there are more colored cells than white ones?
(A) 1 (B) 2 (C) 3 (D) 4 (E)5
№8. Masha drew 30 geometric shapes in this order: triangle, circle, square, rhombus, then again triangle, circle, square, rhombus and so on. How many triangles did Masha draw?
(A) 5 (B) 6 (C) 7 (D) 8 (E)9
№9. From the front, the house looks like the picture on the left. At the back of this house there is a door and two windows. What does it look like from behind?
№10. It's 2017 now. How many years from now will the next year be that does not have the number 0 in its record?
(A) 100 (B) 95 (C) 94 (D) 84 (E)83
Objectives, assessment worth 4 points
№11. Balls are sold in packs of 5, 10 or 25 pieces each. Anya wants to buy exactly 70 balls. What is the smallest number of packages she will have to buy?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
№12. Misha folded a square piece of paper and poked a hole in it. Then he unfolded the sheet and saw what is shown in the picture on the left. What might the fold lines look like?
№13. Three turtles sit on the path at the dots A, IN And WITH(see picture). They decided to gather at one point and find the sum of the distances they had traveled. What is the smallest amount they could get?
(A) 8 m (B) 10 m (C) 12 m (D) 13 m (E) 18 m
№14. Between the numbers 1 6 3 1 7 you need to insert two characters + and two signs × so that it turns out the best great result. What is it equal to?
(A) 16 (B) 18 (C) 26 (D) 28 (E) 126
№15. The strip in the figure is made up of 10 squares with a side of 1. How many of the same squares must be added to it on the right so that the perimeter of the strip becomes twice as large?
(A) 9 (B) 10 (C) 11 (D) 12 (E) 20
№16. Sasha marked a square in the checkered square. It turned out that in its column this cell is the fourth from the bottom and the fifth from the top. In addition, in its row this cell is the sixth from the left. Which one is she on the right?
(A) second (B) third (C) fourth (D) fifth (E) sixth
№17. From a 4 × 3 rectangle, Fedya cut out two identical figures. What kind of figures could he not produce?
№18. Each of the three boys thought of two numbers from 1 to 10. All six numbers turned out to be different. The sum of Andrey’s numbers is 4, Bory’s is 7, Vitya’s is 10. Then one of Vitya’s numbers is
(A) 1 (B) 2 (C) 3 (D) 5 (E)6
№19. Numbers are placed in the cells of a 4 × 4 square. Sonya found a 2 × 2 square in which the sum of the numbers is the largest. What is this amount?
(A) 11 (B) 12 (C) 13 (D) 14 (E) 15
№20. Dima was riding a bicycle along the paths of the park. He entered the park through the gate A. During his walk, he turned right three times, left four times, and turned around once. What gate did he go through?
(A) A (B) B (C) C (D) D (E) the answer depends on the order of turns
Tasks worth 5 points
№21. Several children took part in the race. The number of people who came running before Misha was three times more number those who came running after him. And the number of those who came running before Sasha is two times less than the number of those who came running after her. How many children could take part in the race?
(A) 21 (B) 5 (C) 6 (D) 7 (E) 11
№22. Some shaded cells contain one flower. Each white cell contains the number of cells with flowers that have a common side or top with it. How many flowers are hidden?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 11
№23. Three digit number Let's call it surprising if among the six digits used to write it and the number following it, there are exactly three ones and exactly one nine. How many amazing numbers are there?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
№24. Each face of the cube is divided into nine squares (see picture). What is the most big number squares can be colored so that no two colored squares have common side?
(A) 16 (B) 18 (C) 20 (D) 22 (E) 30
№25. A stack of cards with holes is strung on a string (see picture on the left). Each card is white on one side and shaded on the other. Vasya laid out the cards on the table. What could he have done?
№26. A bus leaves from the airport to the bus station every three minutes and takes 1 hour. 2 minutes after the bus departed, a car left the airport and drove 35 minutes to the bus station. How many buses did he overtake?
(A) 12 (B) 11 (C) 10 (D) 8 (E) 7
The Kangaroo competition has been held since 1994. It originated in Australia on the initiative of the famous Australian mathematician and educator Peter Halloran. The competition is designed for ordinary schoolchildren and therefore quickly won the sympathy of both children and teachers. The competition tasks are designed so that each student finds interesting and accessible questions for himself. After all the main objective of this competition is to interest the children, to instill in them confidence in their abilities, and the motto is “Mathematics for everyone.”
Now about 5 million schoolchildren around the world participate in it. In Russia, the number of participants exceeded 1.6 million people. IN Udmurt Republic 15-25 thousand schoolchildren participate in Kangaroo every year.
In Udmurtia, the competition is held by the Center educational technologies"Another school."
If you are in another region of the Russian Federation, contact the central organizing committee of the competition - mathkang.ru
Procedure for holding the competition
The competition takes place in test form in one stage without any preliminary selection. The competition is held at school. Participants are given tasks containing 30 problems, where each problem is accompanied by five answer options.
All work is given 1 hour 15 minutes of pure time. Then the answer forms are submitted and sent to the Organizing Committee for centralized verification and processing.
After verification, each school that took part in the competition receives a final report indicating the points received and the place of each student in general list. All participants are given certificates, and parallel winners receive diplomas and prizes; the best ones are invited to math camps.
Documents for organizers
Technical documentation:
Instructions for holding a competition for teachers.
Form for the list of participants in the "KANGAROO" competition for school organizers.
Form of Notification of informed consent of competition participants (their legal representatives) for the processing of personal data (filled out by the school). Their completion is necessary due to the fact that the personal data of competition participants is automatically processed using computer technology.
For organizers who want to additionally insure themselves regarding the validity of collecting a registration fee from participants, we offer the form of the Minutes of the meeting of the parents' community, the decision of which will also confirm the authority of the parents school organizer. This is especially true for those who plan to act as an individual.
Millions of children in many countries of the world no longer need to be explained what "Kangaroo", is a massive international math competition game under the motto - " Mathematics for everyone!.
The main goal of the competition is to attract as many more guys to a decision mathematical problems, show every student that thinking about a problem can be a lively, exciting, and even fun activity. This goal is achieved quite successfully: for example, in 2009, more than 5.5 million children from 46 countries took part in the competition. And the number of competition participants in Russia exceeded 1.8 million!
Of course, the name of the competition is connected with distant Australia. But why? After all, mass mathematical competitions have been held in many countries for decades, and Europe, where the new competition originated, is so far from Australia! The fact is that in the early 80s of the twentieth century, the famous Australian mathematician and teacher Peter Halloran (1931 - 1994) came up with two very significant innovations that significantly changed the traditional school olympiads. He divided all the problems of the Olympiad into three categories of difficulty, and simple tasks should have been available to literally every schoolchild. In addition, the tasks were offered in the form of a multiple-choice test, focused on computer processing of results. The presence of simple but interesting questions ensured widespread interest in the competition, and computer verification made it possible to quickly process a large number of works
The new form of competition turned out to be so successful that in the mid-80s about 500 thousand Australian schoolchildren took part in it. In 1991, a group of French mathematicians, drawing on Australian experience, held a similar competition in France. In honor of our Australian colleagues, the competition was named “Kangaroo”. To emphasize the entertaining nature of the tasks, they began to call it a competition-game. And one more difference – participation in the competition has become paid. The fee is very small, but as a result, the competition ceased to depend on sponsors, and a significant part of the participants began to receive prizes.
In the first year, about 120 thousand French schoolchildren took part in this game, and soon the number of participants grew to 600 thousand. This began the rapid spread of the competition across countries and continents. Now about 40 countries from Europe, Asia and America are participating in it, and in Europe it is much easier to list countries that do not participate in the competition than those where it has been taking place for many years.
In Russia, the Kangaroo competition was first held in 1994 and since then the number of its participants has been growing rapidly. The competition is part of the Productive gaming competitions» Institute productive learning under the leadership of Academician of RAO M.I. Bashmakov and is carried out with the support Russian Academy education, the St. Petersburg Mathematical Society and the Russian State pedagogical university them. A.I. Herzen. Direct organizational work was undertaken by the Kangaroo Plus Testing Technology Center.
In our country, a clear structure of mathematical Olympiads has long been established, covering all regions and accessible to every student interested in mathematics. However, these Olympiads, from the regional to the All-Russian, are aimed at identifying the most capable and gifted from students who are already passionate about mathematics. The role of such Olympiads in the formation of the scientific elite of our country is enormous, but the vast majority of schoolchildren remain aloof from them. After all, the problems that are offered there, as a rule, are designed for those who are already interested in mathematics and are familiar with mathematical ideas and methods that go beyond school curriculum. Therefore, the “Kangaroo” competition, addressed to the most ordinary schoolchildren, quickly won the sympathy of both children and teachers.
The competition tasks are designed so that every student, even those who do not like mathematics, or are even afraid of it, will find interesting and accessible questions for themselves. After all, the main goal of this competition is to interest the children, to instill in them confidence in their abilities, and its motto is “Mathematics for everyone.”
Experience has shown that the guys are happy to solve competition problems, which successfully fill the vacuum between standard and often boring examples from school textbook and difficult, requiring special knowledge and preparation, tasks of city and regional mathematical Olympiads.
The idea of the competition belongs to the Australian mathematician and teacher Peter Halloran (1931 – 1994). He came up with the idea of dividing tasks into categories of difficulty and offering them in the form of a multiple-choice test. Competitions of this type were held in Australia since the mid-1980s; in 1991 the competition was held in France(where I got it Name in honor of the country of origin), and soon became international. Since 1991, a small participation fee was introduced, which allowed the competition to no longer depend on sponsors and provide symbolic gifts to the winners. Important advantages of the Kangaroo game are computer processing of results, which allows you to quickly check a large number of works, and the presence of simple but entertaining questions. This led to the popularity of the competition: in 2008, more than 5 million schoolchildren from 42 countries participated in Kangaroo. In particular, in Russia the competition has been held since 1994; in 2008, approximately 1.6 million students participated.
Conducting a competition and tasks
The competition is held annually (in Russia - usually in March). Competitions are held directly in schools, which ensures mass participation.
Assignments are compiled for five age categories: Écolier (in Russia - grades 3 and 4), Benjamin (grades 5 and 6), Cadet - (grades 7 and 8), Junior (grades 9 and 10) and Student (not carried out in Russia) . Each option contains 30 problems, divided into three difficulty categories: 10 problems worth 3 points each, 10 worth 4 and 10 worth 5 points. Thus, the maximum possible quantity points is 120. (In the junior category - Écolier - the most complex tasks only 6, so the maximum possible number of points is 100.)
The so-called Olympiad problems are selected for the competition. The simplest of them are usually accessible to many participants, the most complex - to a few. Thus, the competition is interesting for students with different levels preparation.
Winners
Participants who scored 120 points in different years
5th grade
- 2004 Igritsky Sasha (Moscow), Alekseeva Daria (Izhevsk)
- 2005 Gulmira Agaidarova (Sterlitamak), Vladimir Kruchinin (Novocherkassk), Nikita Rotanov (Moscow), Nuriman Shaizhanov (Sterlitamak)
- 2006 Vladislav Meshcheryakov (Moscow), Denis Sidorov (Sterlitamak)
- 2004 Brusnitsyn Sergey (Moscow), Safonov Sergey (Moscow), Tokman Vladimir (Bryansk), Yukina Natalya (Moscow)
- 2005 Igritsky Alexander (Moscow), Kapitonov Ilya (Kazan), Lipatov Evgeniy (St. Petersburg), Makarov Mikhail (Novouralsk), Malchenko Serge (Priozersky district), Shemakhyan Irina (Kanavinsky district)
- 2006 Akinschikov Alexey ( Velikiy Novgorod), Asanov Denis (Omsk)
- 2005 Krul Yaroslav (Ufa)
- 2006 Tizik Alexander (Zheleznodorozhny)
- 2004 Tatyana Statsenko (St. Petersburg), Olga Arutyunyan (Moscow), Pavel Fedotov (Moscow)
- 2005 Gorinov Evgeniy (Kirov), Krivopalov Vladimir (Samara), Mitrofanova Lyudmila (St. Petersburg), Privalova Daria (Moscow)
- 2006 Gushchin Anton (Yakutsk), Ogarkova Maria (Perm)
- 2008 Maria Korobova (Kirov)
- 2005 Olga Harutyunyan (Moscow), Renat Nasyrov (Nalchik)
- 2006 Ekimov Alexander (Izhevsk)
- 2004 Mikhalev Alexander (Izhevsk), Krylov Egor (Kurgan)
- 2005 Tanned Denis (Pervouralsk), Zhdanov Sergey (Krasnooktyabrsky district), Tokarev Igor (Ufa), Chernyshev Bogdan (Krasnooktyabrsky district)
The following events are also held in Russia:
- Testing "Kangaroo for graduates" for 11th grade students. Designed primarily for self-testing of graduates' readiness for exams. The test consists of 12 “plots”, each of which is asked 5 questions.
- Competition for teachers “Kangaroo Prediction”: teachers try to guess how difficult certain test questions will be for students.
- Russian language competition "Russian Bear"
- Competition for English language"British bulldog"
Links
- international page (in French).
- See also links to other countries' pages in the English article.
Wikimedia Foundation. 2010.
See what “Kangaroo (Olympiad)” is in other dictionaries:
Cartoon type hand-drawn Genre Musical Director Inessa Kovalevskaya Scriptwriter ... Wikipedia
1 dollar (Australia) Denomination: 1 Australian dollar ... Wikipedia
Founded: 1989 Director: Alexey Mikhailovich Kuzmin Type: Lyceum Address: Tambov, st. Michurinskaya, 112 V Telephone: Work ... Wikipedia