The computer science test Modeling and Formalization is intended for 9th grade students. The test contains 26 questions. There are answers at the end of the test.

1. Choose the correct statement:

a) One object can have only one model
b) Different objects cannot be described by one model
c) An electrical diagram is a model of an electrical circuit
d) The model completely replicates the object being studied

2. Select the incorrect statement:

a) Full-scale models - real objects that, in a reduced or enlarged form, reproduce the appearance, structure or behavior of the modeled object
b) Information models describe the original object in one of the information coding languages
c) Dynamic models reflect the processes of change and development of objects over time
d) Only the subject area to which they belong can be taken as the basis for the classification of models

3. What features of the object should be reflected in the student’s information model, which allows one to obtain the following information: the age of students who are fond of swimming; number of girls dancing; last names of students over 14 years old?

a) first name, last name, hobby
b) first name, last name, gender, singing, swimming, age
c) name, hobby, gender, age
d) first name, last name, gender, hobby, age

4. Select an element of the student’s information model that is essential for grading the student’s test in computer science:

a) having a home computer
b) the number of correctly completed tasks
c) time spent on completing the test
d) average score for previous computer science classes

5. Replacing a real object with its formal description is:

a) analysis
b) modeling
c) formalization
d) algorithmization

6. Select an iconic model:

a) drawing
b) diagram
c) table
d) formula

7. Select a figurative model:

a) photograph
b) diagram
c) text
d) formula

8. Select mixed model:

a) photograph
b) diagram
c) text
d) formula

9. Descriptions of objects, situations, events, processes in natural languages ​​are:

a) verbal models
b) logical models
c) geometric models
d) algebraic models

10. Models implemented using programming systems, spreadsheets, specialized mathematical packages and modeling software are called:

a) mathematical models
b) computer models
c) simulation models
d) economic models

11. The file system of a personal computer can most adequately be described as:

a) mathematical model
b) tabular model
c) full-scale model
d) hierarchical model

12. The graphical model of a hierarchical system is:

a) chain
b) network
c) family tree
d) tree

13. The electric train schedule can be considered as an example:

a) tabular model
b) graphic model
c) simulation model
d) full-scale model

14. What three concepts are in the relationship “object - full-scale model - information model”?

a) man - anatomical skeleton - mannequin
b) person - medical record - photograph
c) car - advertising booklet with technical characteristics of the car - road atlas
d) car - toy car - technical description of the car

15. The diagram shows roads between settlements A, B, C, D and the lengths of these roads are indicated.

Determine which two points are farthest from each other. Specify the length of the shortest path between them.

a) 17
b) 15
c) 13
d) 9

16. Settlements A, B, C, D connected by roads. The travel time by car from city to city on the corresponding roads is shown in the table:

Tourist leaving the point A, wants to visit all cities in the shortest possible time. Provide the appropriate route.

a) ABCD
b) ACBD
c) ADCB
d) ABDC

17. There are four students at school - Andreev, Ivanov, Petrov, Sidorov, who have different hobbies. One of them is fond of tennis, another is into ballroom dancing, the third is into painting, and the fourth is into singing. Known about them:
— Ivanov and Sidorov were present at a choir concert when their friend sang;
— Petrov and the tennis player posed for the artist;
— the tennis player is friends with Andreev and wants to meet Ivanov. What is Andreev's hobbies?

a) tennis
b) painting
c) dancing
d) singing

18. Two players play the following game. In front of them lie three piles of stones, the first of which contains 2 stones, the second - 3 stones, and the third - 4 stones. Each player has an unlimited number of stones. Players take turns. A move consists of a player either doubling the number of stones in a pile or adding two stones to each pile. The player wins, after whose move either one of the piles has at least 15 stones, or the total number of stones in all three piles becomes at least 25. Who wins if both players play correctly?

a) the player making the first move
b) the player making the second move
c) each player has the same chance of winning
d) there is no winning strategy for this game

19. The database is:

a) a set of data collected on one floppy disk
b) a table that allows you to store and process data and formulas
c) an application program for processing user information
d) a collection of data organized according to certain rules, intended for storage in the external memory of a computer and permanent use

20. Which database is based on a tabular representation of information about objects?

a) hierarchical
b) network
c) distributed
d) relational

21. A table row containing information about one specific object is:

a) field
b) recording
c) report
d) shape

22. A table column containing a specific characteristic of an object is:

a) field
b) recording
c) report
d) key

23. Database management systems are used for:

a) creating databases, storing and searching the necessary information in them
b) data sorting
c) organizing access to information on a computer network
d) creating databases

24. Which word is NOT the name of a database?

a) Microsoft Access
b) OpenOffice.org Base
c) OpenOffice.org Writer
d) FoxPro

25. A fragment of the database is presented below in tabular form:

What position will the product “Flatbed scanner” be in if we sort this table in ascending order of the QUANTITY column?

a) 5
b) 2
c) 3
d) 6

26. Below in tabular form is a fragment of the “Sale of Stationery Supplies” database:

Name	Price	Sold
Pencil	5	60
Ruler	18	7
Folder	20	32
Pen	25	40
Notebook	15	500

How many records in this fragment satisfy the condition PRICE>20 OR SOLD OUT

a) 1
b) 2
c) 3
d) 4

Answers to the computer science test Modeling and formalization
1-c, 2-d, 3-d, 4-b, 5-c, 6-d, 7-a, 8-b, 9-a, 10-b, 11-d, 12-d, 13- a, 14-d, 15-c, 16-d, 17-b, 18-a, 19-d, 20-c, 21-b, 22-a, 23-a, 24-c, 25-c, 26-v

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1 Task 3. Formal descriptions of real objects and processes 3.1. Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 5 2) 6 3) 7 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 7 2) 8 3) 9 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 9 2) 10 3) 11 4) Between settlements A, B, C, D, E have built roads, the length of which (in kilometers) is given 1) 5 2) 6 3) 7 4) Between settlements A, B, C, D, E roads have been built, the length of which is ( in kilometers) given

2 1) 8 2) 9 3) 10 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 9 2) 10 3) 11 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 9 2) 8 3) 7 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 4 2) 5 3) 6 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 6 2) 7 3) 8 4) Between settlements A, B , C, D, E roads were built, the length of which (in kilometers) is given

3 1) 5 2) 6 3) 7 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 6 2) 7 3) 8 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 6 2) 7 3) 8 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given 1) 6 2) 7 3) 8 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 4 2) 5 3) 6 4) Between settlements A, B , C, D, E roads were built, the length of which (in kilometers) is given

4 1) 7 2) 8 3) 9 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 13 2) 12 3) 11 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and F. You can only move along roads, length 1) 9 2) 11 3) 13 4) Between settlements A, B, C, D, E roads were built, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and F. You can only move along roads, length 1) 5 2) 6 3) 7 4) Between settlements A, B, C, D, E, F roads have been built, the length of which is given. Determine the length of the shortest path between points A and F. You can only move along roads, the length

5 1) 5 2) 6 3) 7 4) Roads have been built between settlements A, B, C, D, E, F, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and F. You can only move along roads, length 1) 5 2) 6 3) 7 4) Roads have been built between settlements A, B, C, D, E, F, the length of which is given. Determine the length of the shortest path between points A and F. You can only travel on roads length 1) 5 2) 6 3) 7 4) Roads have been built between settlements A, B, C, D, E, F, the length of which is given. Determine the length of the shortest path between points A and F. You can only move on roads, length 1 ) 6 2) 7 3) 8 4) Roads were built between settlements A, B, C, D, E, F, the length of which is given

6 Determine the length of the shortest path between points A and F. You can only move along roads, the length of which is 1) 6 2) 7 3) 8 4) Between settlements A, B, C, D, E, F, roads have been built, the length of which is given Determine the length of the shortest path between points A and F (provided that travel can only be done on constructed roads). 1) 5 2) 6 3) 3 4) Task Between settlements A, B, C, D, E, F, roads are built, the length of which is given. Determine the length of the shortest path between points A and F (provided that you can only move along constructed roads). 1) 5 2) 6 3) 7 4) Roads have been built between settlements A, B, C, D, E, F, the length of which is given. Determine the length of the shortest path between points A and F (provided that you can only move along the constructed roads).

7 1) 5 2) 7 3) 3 4) Roads have been built between settlements A, B, C, D, E, F, the length of which is given. Determine the length of the shortest path between points A and F (provided that you can only move along constructed roads). 1) 6 2) 8 3) 10 4) Ivan Tsarevich hurries to rescue Marya the Princess from Koshchei’s captivity. The table shows the length of roads between points through which it can pass. Indicate the length of the longest section of the shortest path from Ivan Tsarevich to Marya Tsarevna (from point I to point M). You can only move along the roads indicated 1) 1 2) 2 3) 3 4) Ivan Tsarevich hurries to rescue Marya the Princess from Koshchei’s captivity. The table shows the length of roads between points through which it can pass. Indicate the length of the shortest section of the shortest path from Ivan Tsarevich to Marya Tsarevna (from point I to point M). You can only move along the roads indicated 1) 1 2) 2 3) 3 4) Petya Ivanov’s relatives live in 5 different cities of Russia. The distances between the cities are included in the table: Petya redrew it into a notebook in the form of a graph. Assuming that the boy did not make a mistake when copying, indicate which column Petya has in his notebook.

8 1) 2) 3) 4) Katya Yevtushenko’s relatives live in 5 different cities of Russia. The distances between cities are included in the table: Katya redrawn it in a notebook in the form of a graph. Assuming that the girl did not make a mistake when copying, indicate which column Katya has in her notebook. 1) 2) 3) 4) Teacher Ivan Petrovich lives at Antonovka station and works at Druzhba station. In order to be on time for classes in the morning, he must take the shortest road. Analyze the table and indicate the length of the shortest route from Antonovka station to Druzhba station: 1) 6 2) 2 3) 8 4) Teacher Marya Petrovna lives at Vasilki station and works at Druzhba station. In order to be on time for classes in the morning, she must take the shortest road. Analyze the table and indicate the length of the shortest route from Vasilki station to Druzhba station: 1) 5 2) 6 3) 8 4) The rural small school is located in the village of Ivanovskoye. Kolya Ivanov lives in the village of Vershki. Determine the minimum distance he needs to walk to get to school:

9 1) 6 2) 9 3) 12 4) The rural small school is located in the village of Vershki. Roma Orlov lives in the village of Dalneye. Determine the minimum distance he needs to travel to get to school: 1) 6 2) 8 3) 11 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 4 2) 5 3) 6 4) The driver of the car must get from point A to point D in 5 hours. From the tables presented, select one according to which the driver can get from point A to point D in this time. The table cells indicate the time (in hours) it takes to travel from one point to another. You can only travel on the roads indicated in the tables. 1) 1 2) 2 3) 3 4) The driver of the car must get from point A to point C in 6 hours. From the tables presented, select one according to which the driver can get from point A to point C in this time. The table cells indicate the time (in hours) it takes to travel from one point to another. You can only travel on the roads indicated in the tables.

10 1) 1 2) 2 3) 3 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and B. You can only move on roads length 1) 4 2) 6 3) 10 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and B. You can only move on roads length 1) 1 2) 5 3) 3 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and B (provided that it is possible to move only on constructed roads). 1) 11 2) 12 3) 13 4) Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and C (provided that you can only move along constructed roads).

11 1) 6 2) 7 3) 8 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and D. You can only move on roads length 1) 5 2) 6 3) 7 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and E. You can only travel on roads length 1) 4 2) 6 3) 8 4) Roads have been built between settlements A, B, C, D, E, the length of which (in kilometers) is given. Determine the length of the shortest path between points A and C. You can only travel on roads length 1) 3 2) 5 3) 8 4) Roads were built between settlements A, B, C, D, E, the length of which (in km) is given in the table. Determine the length of the shortest path between points A and C. You can only travel on roads, length 1) 7 2) 8 3) 9 4) The electric train driver must get from point A to point C in 6 hours. From the tables presented, choose one according to which the driver can get from point A to point C in this time. The table cells indicate the time (in hours) it takes to travel from one point to another. You can only travel on the roads indicated in the tables.

12 3.48. An electric train driver must get from point A to point C in 4 hours. From the tables presented, choose one according to which the driver can get from point A to point C in this time. The table cells indicate the time (in hours) it takes to get from one point to another. You can travel only on the roads indicated in the tables. The table shows the cost of transportation between five railway stations, designated by the letters A, B, C, D and E. Indicate the scheme corresponding to the table.

13 3.50. The table shows the cost of transportation between five railway stations, designated by the letters A, B, C, D and E. Indicate the scheme corresponding to the table.

Tasks 3. Formal descriptions of real objects and processes 1. A 1 B 1 2 2 7 C 2 3 D 2 4 E 7 3 4 which are indicated in 2. 4) 8 3. 1) 7 2) 8 3) 9 4) 10 4. 1) 9 2) 10 3) 11 4) 12 2019-04-28 1/20 5. 6. 1) 8

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The dirt road passes sequentially through the settlements A, B, C and D. The length of the dirt road between A and B is 40 km, between B and C - 25 km, and between C and D - 10 km. There is no road between A and D. A new asphalt highway 30 km long was built between A and C. Estimate the minimum possible time for a cyclist to travel from point A to point D if his speed on a dirt road is 20 km/h and on a highway 30 km/h.

Solution

For the convenience of the solution, we will construct a graph connecting populated areas.

Let's find the travel time between points.

1. From A to B(dirt road). Length 40 km. Speed ​​20 km/h.

40: 20 = 2
It will take 2 hours.

2. From B to C(dirt road). Length 25 km. Speed ​​20 km/h.

25: 20 = 1,25
Will take 1.25 hours.

3. From A to C(highway). Length 30 km. Speed ​​30 km/h

30: 30 = 1
Will take 1 hour.

4. From C to D(dirt road). Length 10 km. Speed ​​20 km/h.

10: 20 = 0,5
It will take 0.5 hours.

Possible movement options

ABCD = 2 + 1.25 + 0.5 = 3.75 hours

ACD = 1 + 0.5 = 1.5 hours

Answer: the minimum possible time for a cyclist to travel from point A to point B will be 1.5 hours