When the teacher turns off the phone. When the teacher turns off the phone Before the basketball tournament
Grade 7 preparation for MCKO
Option 1
Calculate: - 5 9 +8 .
Choose the correct statements.
If a number ends with 0, then it is divisible by 2 and 5.
If the numerator of a fraction is increased by 7 times and the denominator is increased by 7 times, then the fraction will not change.
The sum of two proper fractions cannot be a whole number.
If you divide a positive number by 0.01, then the number will decrease by 100 times.
In your answer, indicate the numbers of correct statements without spaces, commas and
Answer: ___________________________.
Solve Equation 6 ( X - 2 ) = 2 x + 4.
Answer: ___________________________.
On checkered paper with a cell size of 1 cm x1 cm
a figure is shown (see figure). Find a side
a square with the same perimeter.
Give your answer in centimeters.
Answer: ___________________________.
In a boarding house, the number of adults is related to the number of children as 8:7. How many children are in this boarding house if there are 96 adults in it?
Answer: ___________________________.
common fraction with denominator 20?
1)31,4 2)5 3) 2,45 4) 7
additional characters.
Answer: ___________________________.
7. A pood is approximately equal to 16.4 kg. Nine pounds is closest to the value:
1) 400 kg 2) 16 t 3) 150 kg 4) 18 kg
Answer: ___________________________
Mitya approached the platform at the station at 10:45. At the head of the platform, he saw two electronic boards with suburban train schedules.
1 way 2 way
Direction
Departure time
Direction
Departure time
Shchyolkovo
Pushkino
Fryazevo
Monino
Alexandrov
10:37
10:42
11:04
12:07
12:15
Shchyolkovo
Monino
Fryazevo
Alexandrov
Pushkino
10:42
11:08
11:14
11:27
11:45
Any train to Monino or Fryazevo suits Mitya. How many minutes
Before basketball tournament measured the height of each player basketball team city N. It turned out that the height of each of the basketball players of this team is more than 185 cm and less than 202 cm. Select the statements that follow from the given data.
The basketball team of city N must have a player whose height is
equal to 190 cm.
2) There are no players with a height of 182 cm in the basketball team of city N.
3) The height of any basketball player of this team is less than 200 cm.
4) The difference in height of any two players of the basketball team of the city N
is no more than 17 cm.
other additional characters.
Answer: ___________________________.
Part 2
Give an example of two numbers whose sum is less than their difference, and the modulus of each number is greater than 50 but less than 90.
Answer:___________________
Solution:
Three confectioners working at the same speed can in 2 hours
craft 48 gingerbread. How many such gingerbread can 4 confectioners make in 1 hour?
Solution:
Answer:_______________________
A group of three teachers and 35 schoolchildren decided to make an excursion trip to Suzdal. They need to buy train tickets. A ticket costs 1800 rubles for an adult and 1200 rubles for a student. For a group of 10 students, you can purchase a group ticket for 8,000 rubles. What is the minimum amount in rubles that a group must pay when organizing a trip? Explain the answer.
Solution:
Answer:_______________________
Given a square. Draw 3 segments with ends on the sides of the square or at its vertices so that the square is divided into 6 parts: a pentagon, a quadrangle and four triangles.
Draft: Answer
Answers
Option 1. Option 2.
-37 1. -42
12 2. 34
4 3. 16
4 4. 10
84 5. 72
13 6. 23
3 7. 2
19 8. 39
24 9. 124
80 and – 60 10. 45 and -50
29,4 11. -7,8
32 12. 54
35 400 13. 20800
14
Grade 7 preparation for MCKO
Option 2
Calculate:- 7 ∙ (71 - 65) .
Answer: ___________________________.
2 . Choose the correct statements.
If a number ends in 4, then it is divisible by 4.
If the numerator of a fraction is increased by 6 and the denominator is decreased by 6, then the fraction will decrease.
Difference of two ordinary fractions can be an integer.
If a positive number is divided by 0.01, then the number will increase by 100 times.
Answer: ___________________________.
Solve Equation 6∙ ( X - 9) = 3 X - 6 .
Answer: ___________________________.
On checkered paper with a cell size of 1 cm x 1 cm
a figure is shown (see figure). Rectangle, one
whose side is 2 cm has the same area. Find
the other side of the rectangle. Give your answer in centimeters.
Answer: ___________________________.
In the sanatorium, the number of adults is related to the number of children as 12:8. How many adults are in this sanatorium if there are 48 children in it?
Answer: ___________________________.
Which of the following fractions can be represented as
common fraction with denominator 10?
1)3,55 2)1 3) 12,7 4)
In your answer, write down the numbers of the selected fractions without spaces, commas, etc.
additional characters.
Answer: ___________________________.
7. One inch is approximately equal to 2.54 cm. 22 inches is closest to:
1) 2 m 2) 60 cm 3) 20 mm 4) 8 cm
Answer: ___________________________.
8. Mitya approached the platform at the station at 11:06. At the head of the platform, he saw two electronic boards with suburban train schedules.
1 way 2 way
Direction
Departure time
Direction
Departure time
Shchyolkovo
Pushkino
Fryazevo
Monino
Alexandrov
10:37
10:42
11:04
12:07
12:15
Shchyolkovo
Monino
Fryazevo
Alexandrov
Pushkino
10:42
11:08
11:14
11:27
11:45
Any train to Pushkino or Shchelkovo suits Mitya. How many minutes
left until the next suitable train for him? Answer: ___________________________.
9. Before volleyball tournament measured the height of each player of the volleyball team of the city N. It turned out that the height of each of the volleyball players of this team is more than 177 cm and less than 195 cm. Select the statements that follow from the given data.
The volleyball team of city N does not have players with a height of 196 cm.
The height of any volleyball player of this team is more than 177 cm.
In the volleyball team of the city N, there is always a player whose height is
equal to 190 cm.
The difference in height of any two players of the city N volleyball team
is no more than 20 cm.
In your answer, indicate the numbers of the selected statements without spaces, commas and
other additional characters.
Answer: ___________________________.
Part 2
In tasks 10-14, write down the answer in the space provided for this. For
tasks 11, 12 and 13 write down the complete solution.
10. Give an example of two numbers whose sum is less than their difference, and the modulus of each number is greater than 40 but less than 60.
Solution:
Answer:_______________________
13. A group of two teachers and 24 schoolchildren decided to take a field trip. They need to buy train tickets. A ticket costs 1700 rubles for an adult and 850 rubles for a student. For a group of 10 students, you can purchase a group ticket for 7,000 rubles. What
the minimum amount in rubles must be paid by the group when organizing
trips? Explain the answer.
Solution:
Answer:_______________________
14. Given a square. Draw 3 segments with ends on the sides of the square or at its vertices so that the square is divided into 7 parts: two quadrangles, one pentagon and four triangles.
One of the drawings can be used as a draft.
Draft: Answer
Task 18, basic level.
Task 1.When physics teacher Nikolai Dmitrievich teaches a lesson, he always turns off his phone. Select the statements that are true under the given condition.
-
2. If Nikolai Dmitrievich's phone is turned on, it means that he is teaching a lesson.
Solution.The first statement is true, since if Nikolai Dmitrievich is teaching a lesson, then the phone is turned off. Therefore the second statement is false..
Answer 13.
Task 2.— —
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Solution.This problem can be solved using the inequalities.
K>N, N>B
K>Sh
Answer 24.
Logic tasks (continued).
Task 1.When physics teacher Nikolai Dmitrievich teaches a lesson, he always turns off his phone. Select the statements that are true under the given condition.
- If Nikolai Dmitrievich's phone is turned on, it means that he is not teaching a lesson.
- If Nikolai Dmitrievich's phone is turned on, it means that he is teaching a lesson
- If Nikolai Dmitrievich conducts laboratory work in physics at the lesson, it means that his phone is turned off.
- If Nikolai Dmitrievich is teaching a physics lesson, then his phone is on.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Solution.The first statement is true, since if Nikolai Dmitrievich is teaching a lesson, then the phone is turned off. Therefore, the second statement is false.
The third statement is true, since the phone is turned off at any lesson.
The fourth statement is false, since the phone is turned off at any lesson.
Answer 13.
Task 2.At the Winter Olympics, the Canadian team won more medals than the Netherlands team, the Belarusian team— less than the Dutch team, and the Swiss team— less than Team Canada. Select the statements that are true under the given conditions.
1. Of the named national teams, the team of Belarus took second place in terms of the number of medals.
2. The Belarusian team won fewer medals than the Canadian team.
3. Among the named teams there are three that have won an equal number of medals.
4. Team Canada has won more medals than any of the other three teams.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Solution.This problem can be solved using inequalities.
K>N, N>B
K>Sh
It follows that statements 2 and 4 are true.
Answer 24.
Tasks for independent solution.
Task 1.There are 20 people in the class, 13 of them attend the history circle, and 10— math circle. Select the statements that are true under the given conditions.
1. Each student in this class attends both circles.
3. If a student from this class goes to a circle in history, then he will definitely go to a circle in mathematics.
4. There will not be 11 people from this class who attend both circles.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 2.When math teacher Ivan Petrovich teaches a lesson, he always turns off his phone. Choose the statements that are true
under the given condition.
1. If Ivan Petrovich's phone is turned on, it means that he is not teaching a lesson.
2. If Ivan Petrovich's phone is turned on, it means that he is teaching a lesson.
3. If Ivan Petrovich is doing a math test, then his phone is turned off.
4. If Ivan Petrovich is teaching a math lesson, then his phone is on.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 3.—
1. Each student from this class also attends a circle on English language, and a circle on the German language.
2. There are at least three people from this class who attend both circles.
3. If a student from this class goes to an English class, then he must go to a German class.
4. There are 4 people from this class who attend both circles.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 4.There are 25 students in the class, 16 of them attend an English club, and 13— German language circle. Select the statements that are true under the given conditions.
1. Among these graduates there is a person who received 75 points for the Unified State Examination in social studies.
2. Among these graduates there are twenty-two people with equal scores for the Unified State Examination in social studies.
3. Among these graduates there is a person who received 20 points for the Unified State Examination in social studies.
4. The points for the Unified State Examination in social studies of any of these twenty people are not lower than 35.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 5.There are 30 students in the class, 20 of them attend a biology circle, and 16— geography circle. Select the statements that are true under the given conditions.
1. There will be at least two of this class who attend both circles.
2. If a student from this class goes to a circle in biology, then he definitely goes to a circle in geography.
3. Each student from this class attends both circles.
4. There will not be 17 people from this class who attend both circles.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 6.Among those who are registered on VKontakte, there are schoolchildren from Tver. Among schoolchildren from Tver there are those who are registered in Odnoklassniki. Select the statements that are true under the given conditions.
1. All schoolchildren from Tver are not registered on either VKontakte or Odnoklassniki.
2. Among schoolchildren from Tver, there are no those who are registered on VKontakte.
3. Among schoolchildren from Tver, there are those who are registered on VKontakte.
4. At least one of the Odnoklassniki users is a schoolboy from Tver.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 7.Among the inhabitants of the house№ 23 There are those who work and there are those who study. And also there are those who do not work and do not study. Some residents of the house№ 23 who are studying are also working. Select the statements that are true under the given conditions.
1. At least one of the working residents of the house No. 23 is studying.
2. All residents of house number 23 work.
3. Among the inhabitants of the house№ 23 there are no those who do not work and do not study.
4. At least one of the residents of the house No. 23 works.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 8.Before the basketball tournament, the height of the players of the basketball team of the city N was measured. It turned out that the height of each of the basketball players of this team is more than 180 cm and less than 195 cm. Select the statements that are true under the specified conditions.
1. In the basketball team of the city N, there is always a player whose height is 200 cm.
2. There are no players with a height of 179 cm in the basketball team of city N.
3. The height of any basketball player on this team is less than 195 cm.
4. The difference in height between any two players in the basketball team of city N is more than 15 cm.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 9.If an athlete participating in Olympic Games, set a world record, then his result is and Olympic record. Select the statements that are true under the given condition.
1. If the result of an athlete participating in the Olympic Games is not an Olympic record, then it is not a world record either.
2. If the result of an athlete participating in the Olympic Games is not an Olympic record, then it is a world record.
3. If the result of an athlete participating in the Olympic Games is a world record, then it is not an Olympic record.
4. If an athlete participating in the Olympic Games sets a world record in the 100m, then his result is also an Olympic record.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 10.At the Winter Olympics, the Russian team won more medals than the Canadian team, the Canadian team— more than the German team, and the Norwegian team— less than Team Canada. Select the statements that are true under the given conditions.
1. Of the named national teams, the Canadian team took the second place in terms of the number of medals.
2. Among the named teams there are three that have won an equal number of medals.
3. The German team won more medals than the Russian team.
4. The Russian team won more medals than each of the other three teams.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 11.Before football tournament measured the growth of players football team city N. It turned out that the height of each of the players of this team is more than 170 cm and less than 190 cm. Choose statements that are true under the specified conditions. 3. The height of any football player of this team is less than 190 cm.
4. The difference in height of any two players of the city N football team is more than 20 cm.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 12.Before the volleyball tournament, the height of the players of the volleyball team of the city N was measured. It turned out that the height of each of the volleyball players of this team is more than 190 cm and less than 210 cm. Select the statements that are true under the specified conditions.
4. The difference in height of any two players of the city N volleyball team is more than 20 cm.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 13.Kostya's house has more floors than Oleg's house, Tanya's house has fewer floors than Oleg's house, and Fedya's house has more floors than Tanya's house. Select the statements that are true under the given conditions.
4. Among these four houses there are three houses with the same number of floors.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 14.Masha's house has fewer floors than Stas's house, Ksyusha's house has more floors than Stas's house, and Nadia's house has more floors than the Machine House, but less than Ksyusha's house. Select the statements that are true under the given conditions.
4. Nadia's house has one floor.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Task 15.Mitya's house has more floors than Masha's house, Lena's house has fewer floors than Masha's house, and Tolya's house has more floors than Lenin's house. Select the statements that are true under the given conditions.
- Lena's house is the lowest among the four listed.
- Masha's house has fewer floors than Lena's.
- Mitino's house has more floors than Lenin's.
- Among these four houses there are three with the same number of floors.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
Mixed in a box are tea bags with black and green tea, the same in appearance, and there are 9 times more black tea bags than green tea bags. Find the probability that a bag randomly selected from this box is a bag of green tea.
Answer: ___________________________.
On the plate are the same-looking pies: 5 with meat, 8 with cabbage, and 3 with cherry. Petya randomly chooses one pie. Find the probability that he ends up with cabbage.
Answer: ___________________________.
Some employees of the company in the summer of 2014 rested in the country, some - and the sea. All employees of the company, who did not rest at sea, rested at the dacha. Choose the statements that are true under the given conditions.
1) Each employee of this company had a rest in the summer of 2014 either at the sea, or at the dacha, or both there and there.
2) An employee of this company, who did not rest at sea in the summer of 2014, did not rest in the country either.
3) If Faina did not rest in the summer of 2014 either at the dacha or at the sea, then she is not an employee of this company.
4) If an employee of this company did not rest at sea in the summer of 2014, then he rested in the country.
Answer: ___________________________.
Before basketball the tournament measured the height of the players of the basketball team of the city N. It turned out that the height of each of the basketball players of this team is more than 180 cm and less than 195 cm. Choose statements that are true under the specified conditions.
1) There are no players 179 cm tall in the basketball team of city N.
2) In the basketball team of city N, there must be a player whose height is 200 cm.
3) The height of any basketball player of this team is less than 195 cm.
4) The difference in height of any two players of the basketball team of city N is more than 15 cm.
In your answer, write down the number of the selected statements without spaces, commas, or other additional characters.
Answer: ___________________________.
Answers to the tasks of section 2.3
Practice-oriented tasks
job number | |