1. Choose the correct statement:

  • a) One object can have only one model
  • b) Different objects cannot be described by the same model
  • c) An electrical circuit is a model of an electrical circuit
  • d) The model completely repeats the object under study

2. Choose the wrong statement:

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

3. What features of the object should be reflected in the student's information model, which allows obtaining the following information: the age of students who are fond of swimming; the number of girls involved in dancing; surnames and names of students over 14 years old?

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

4. Select the element of the student's information model that is relevant for scoring the student on the computer science test:

  • a) having a home computer
  • b) the number of correctly completed tasks
  • c) the time spent on the performance of the control work
  • d) average score for previous computer science lessons

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

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

6. Select iconic model:

  • a) drawing
  • b) scheme
  • c) table
  • d) formula

7. Select figurative model:

  • a) photograph
  • b) scheme
  • c) text
  • d) formula

8. Choose mixed model:

  • a) photograph
  • b) scheme
  • c) text
  • d) formula

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

  • a) verbal patterns
  • 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) natural model
  • d) hierarchical model

12. The graphical model of a hierarchical system is:

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

13. The timetable for electric trains can be considered as an example:

  • a) tabular model
  • b) graphic model
  • c) simulation model
  • d) natural model

14. What is the triplet of concepts in the relationship "object - full-scale model - information model"?

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

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

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

  • a) 17
  • b) 15
  • c) 13

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

A tourist leaving point A wants to visit all the cities in the shortest possible time. Specify the appropriate route.

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

17. Four students study at the school - Andreev, Ivanov, Petrov, Sidorov, who have different hobbies. One of them is fond of tennis, the other - ballroom dancing, the third - painting, the fourth - singing. Known about them:

  • Ivanov and Sidorov were present at the concert of the choir 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 interested in?

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

18. Two players play the following game. In front of them are three piles of stones, the first of which has 2 stones, the second - 3 stones, the third - 4 stones. Each player has an unlimited number of stones. The players take turns. The move consists in the fact that the player either doubles the number of stones in a heap, or adds two stones to each of the heaps. The player wins, after whose move either one of the piles becomes at least 15 stones, or the total number of stones in all three piles becomes at least 25. Who wins if both players play without mistakes?

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

20. What 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) record
  • c) report
  • d) form

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

  • a) field
  • b) record
  • c) report
  • d) key

23. Database management systems are used for:

  • a) creating databases, storing and searching for the necessary information in them
  • b) data sorting
  • c) organizing access to information in 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. Below is a fragment of the database in tabular form:

What position will the product “Scanner flatbed” be in if this table is sorted in ascending order of the QUANTITY column?

26. Below in tabular form is a fragment of the database "Sale of stationery":

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

Size: px

Start impression from page:

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

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 are built, the length of which (in kilometers) is given 1) 9 2) 8 3) 7 4) Roads are built between settlements A, B, C, D, E, 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 are 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 are built, the length of which (in kilometers) is given 1) 6 2) 7 3) 8 4) Roads are built between settlements A, B, C, D, E, 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 are 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, Roads B, C, D, E are 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, the length is 1) 9 2) 11 3) 13 4) Between settlements A, Roads B, C, D, E are 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, the length is 1) 5 2) 6 3) 7 4) 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. You can only move along roads, the length

5 1) 5 2) 6 3) 7 4) Roads were 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 were 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 along roads, length 1) 5 2) 6 3) 7 4) Roads were 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 along 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 1) 6 2) 7 3) 8 4) Roads were 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 (assuming that you can only move along the constructed roads). 1) 5 2) 6 3) 3 4) Task Roads were 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) 5 2) 6 3) 7 4) Roads are 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 were 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 Tsarevna from the captivity of Koshchei. The table shows the length of the roads between the points through which he can pass. Specify 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 Tsarevna from Koshchei's captivity. The table shows the length of the roads between the points through which he can pass. Specify 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 cities are included in the table: Petya redrawn it in a notebook in the form of a graph. Assuming that the boy did not make a mistake when copying, indicate which graph Petya has in his notebook.

8 1) 2) 3) 4) Katya Yevtushenko has relatives living in 5 different cities of Russia. 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 graph 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 in time for lessons in the morning, he must take the shortest road. Analyze the table and indicate the length of the shortest path 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 in time for lessons in the morning, she must take the shortest road. Analyze the table and indicate the length of the shortest path from Vasilki station to Druzhba station: 1) 5 2) 6 3) 8 4) The rural ungraded 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 ungraded school is located in the village of Vershki. Roma Orlov lives in the village of Dalnee. Determine the minimum distance he needs to walk to get to school: 1) 6 2) 8 3) 11 4) Roads are built between settlements A, B, C, D, E, the length of which (in kilometers) is given 1) 4 2) 5 3) 6 4) The car driver must get from point A to point D in 5 hours. From the presented tables, select the one according to which the driver will be able to get from point A to point D in this time. The cells of the table indicate the time (in hours) it takes to get 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 presented tables, select the one according to which the driver will be able to get from point A to point C in this time. The cells of the table indicate the time (in hours) it takes to get 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 are 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 along roads, length 1) 4 2) 6 3) 10 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. You can only move along roads, length 1) 1 2) 5 3) 3 4) Roads are 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 built roads). 1) 11 2) 12 3) 13 4) Roads are 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 built roads).

11 1) 6 2) 7 3) 8 4) Roads are 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 along roads, length 1) 5 2) 6 3) 7 4) Roads are 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 move along roads, length 1) 4 2) 6 3) 8 4) Roads are 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 move along 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 move along roads, the length is 1) 7 2) 8 3) 9 4) The driver of the electric train must get from point A to point C in 6 hours. From the presented tables, select the one according to which the driver will be able to get from point A to point C in this time. The cells of the table indicate the time (in hours) it takes to get from one point to another. You can only travel on the roads indicated in the tables.

12 3.48. The train driver must get from point A to point C in 4 hours. From the presented tables, select the one according to which the driver will be able to get from point A to point C in this time. The cells of the table 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 the five railway stations, marked with the letters A, B, C, D and E. Indicate the scheme that corresponds to the table.

13 3.50. The table shows the cost of transportation between five railway stations, labeled A, B, C, D, and E. Indicate the scheme that corresponds 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 is 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

Tasks 3. Formal descriptions of real objects and processes 1. Task 3 3. Roads were built between settlements A, B, C, D, E, the length of which (in kilometers) A B C D E A 1 B 1 2 2 7 C

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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 the same model
c) An electrical circuit is a model of an electrical circuit
d) The model completely repeats the object under study

2. Choose the wrong statement:

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

3. What features of the object should be reflected in the student's information model, which allows obtaining the following information: the age of students who are fond of swimming; the number of girls involved in dancing; surnames and names of students over 14 years old?

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

4. Select the element of the student's information model that is relevant for scoring the student on the computer science test:

a) having a home computer
b) the number of correctly completed tasks
c) the time spent on the performance of the control work
d) average score for previous computer science lessons

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

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

6. Select iconic model:

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

7. Select figurative model:

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

8. Choose mixed model:

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

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

a) verbal patterns
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) natural model
d) hierarchical model

12. The graphical model of a hierarchical system is:

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

13. The timetable for electric trains can be considered as an example:

a) tabular model
b) graphic model
c) simulation model
d) natural model

14. What is the triplet of concepts in the relationship "object - full-scale model - information model"?

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

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

Determine which two points are the 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 indicated in the table:

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

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

17. Four students study at the school - Andreev, Ivanov, Petrov, Sidorov, who have different hobbies. One of them is fond of tennis, the other - ballroom dancing, the third - painting, the fourth - singing. Known about them:
- Ivanov and Sidorov were present at the concert of the choir 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 interested in?

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

18. Two players play the following game. In front of them are three piles of stones, the first of which has 2 stones, the second - 3 stones, the third - 4 stones. Each player has an unlimited number of stones. The players take turns. The move consists in the fact that the player either doubles the number of stones in a heap, or adds two stones to each of the heaps. The player wins, after whose move either one of the piles becomes at least 15 stones, or the total number of stones in all three piles becomes at least 25. Who wins if both players play without mistakes?

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

20. What 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) record
c) report
d) form

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

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

23. Database management systems are used for:

a) creating databases, storing and searching for the necessary information in them
b) data sorting
c) organizing access to information in 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. Below is a fragment of the database in tabular form:

What position will the product “Scanner flatbed” be in if this table is sorted in ascending order of the QUANTITY column?

a) 5
b) 2
at 3
d) 6

26. Below in tabular form is a fragment of the database "Sale of stationery":

Name Price Sales
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

a) 1
b) 2
at 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-in

The dirt road passes successively 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. Between A and C, a new asphalt highway 30 km long was built. 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 build a graph connecting the settlements.

Let's find the time of movement between points.

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

40: 20 = 2
Will take 2 hours.

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

25: 20 = 1,25
It will take 1.25 hours.

3. From A to C(highway). The length is 30 km. Speed ​​30 km/h

30: 30 = 1
Will take 1 hour.

4. From C to D(dirt road). The length is 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 is 1.5 hours


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