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Тест по Вероятности и Статистике для 8 класса
Тема: Правило умножения вероятностей, Условная вероятность, Независимые события
Инструкция: Выберите правильный вариант ответа на каждый вопрос.
Если события А и В независимы, то вероятность одновременного наступления событий А и В равна: A) P(A|B) + P(B|A) B) P(A)*P(B) C) P(A) + P(B) D) P(A) - P(B)
Если события А и В зависимы, то вероятность их одновременного наступления равна: A) P(A) + P(B) B) P(A)*P(B) C) P(A) / P(B) D) P(A) - P(B)
События А и В являются независимыми. Вероятность сначала наступления события А, а потом В равна: A) P(A)*P(B) B) P(A|B) + P(B) C) P(A) / P(B) D) P(A) + P(B)
Какая формула используется для вычисления условной вероятности? A) P(A)*P(B) B) P(A|B) = P(A ∩ B) / P(B) C) P(A) + P(B) D) P(A) - P(B)
Если P(A) = 0.3, P(B) = 0.4, и события А и В независимы, то P(A ∩ B) равно: A) 0.12 B) 0.7 C) 0.3 D) 0.4
В классе 25 учеников, из которых 15 девочек. Какова вероятность выбрать наугад девочку из класса? A) 0.25 B) 0.60 C) 0.40 D) 0.75
В сборнике задач 30 легких и 20 сложных задач. Какова вероятность выбрать задачу, которая не является сложной? A) 0.7 B) 0.4 C) 0.5 D) 0.6
Если P(A) = 0.6, P(B) = 0.4, и события А и В независимы, то P(A ∪ B) равно: A) 0.84 B) 0.76 C) 0.90 D) 1.0
Какова вероятность выбрать сначала красный герб из колоды карт, а потом черный герб, если колода содержит 26 красных и 26 черных карт? A) 1/2 B) 1/4 C) 1/16 D) 1/52
В группе студентов 5 мужчин и 7 женщин. Какова вероятность выбрать наугад мужчину из группы? A) 1/6 B) 5/12 C) 5/11 D) 7/12
Если события А и В являются независимыми, то P(A|B) равняется: A) P(A) + P(B) B) P(A) * P(B) C) P(A) / P(B) D) P(A)
Вероятность того, что событие А произойдет при условии, что событие В уже произошло, вычисляется по формуле: A) P(A ∩ B) / P(B) B) P(B|A) = P(A ∩ B) / P(A) C) P(A) + P(B) D) P(A) - P(B)
Если P(A) = 0.4, P(B) = 0.3 и события А и В независимы, то вероятность того, что произойдет только одно из событий, равна: A) 0.7 B) 0.5 C) 0.2 D) 0.3
Какова вероятность получить при бросании обычного кубика число, кратное 3? A) 1/3 B) 1/2 C) 1/6 D) 1/4
Какова вероятность выбрать из колоды игральных карт красную карту? A) 1/4 B) 1/2 C) 1/3 D) 1/13
Если P(A) = 0.5, P(B) = 0.6, и события А и В независимы, то вероятность того, что произойдет хотя бы одно из событий равна: A) 0.3 B) 0.8 C) 0.9 D) 0.2
В театре 15 мест общественной ложи и 20 мест бельэтажа. Какова вероятность, что случайно выбранный посетитель займет место в общественной ложе? A) 3/7 B) 1/2 C) 1/3 D) 2/5
События "Выпадение орла" и "Выброс красной карты" из колоды считаются: A) зависимыми B) независимыми C) обратными D) равнозначными
Какова вероятность выпадения орла при бросании симметричной монеты? A) 0.5 B) 0.75 C) 0.25 D) 1.0
В колоде 52 карт, из которых 13 червовых. Какова вероятность вытащить червовую карту из колоды? A) 1/13 B) 1/26 C) 1/4 D) 1/2
Ответы:
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Название: Тест по английскому языку — Present Simple Passive (8 класс)
Выберите предложение, которое находится в Present Simple Passive. A. The homework is done by the teacher every day. B. The teacher does the homework every day. C. The homework doing by the teacher. D. The teacher is doing the homework.
The dishes ... by the children after dinner. A. are wash B. is washed C. are washed D. are washing
The mail ... at 9 a.m. every day. A. is delivered B. are delivered C. is deliver D. are deliver
The windows ... every week. A. is clean B. are cleaned C. are clean D. cleaned
Tea ... by the bartender. A. is made B. is making C. are made D. made
The room ... by the maid every morning. A. was cleaned B. is cleaned C. are cleaned D. is clean
These reports ... by the manager. A. is reviewed B. are reviewed C. are review D. is review
The book ... in the library. A. is kept B. keeps C. is keeping D. keeping
The songs ... by the choir every Christmas. A. are sang B. are sung C. is sung D. is sang
Chocolate ... in the factory. A. is produced B. are produced C. is produce D. produced
The salad ... with fresh vegetables every day. A. is prepared B. are prepared C. is prepare D. are preparing
The emails ... to customers by the support team. A. are sent B. is sent C. are sending D. sent
The homework ... after class. A. is checked B. are checked C. is checking D. are checking
The park ... every morning. A. is cleaned B. are cleaned C. are cleaning D. cleaned
Which sentence is in Present Simple Passive? A. The house is painted by the workers. B. The house paints the workers. C. The workers are painting the house. D. The house was painted by the workers.
Ключ к ответам: 1A, 2C, 3A, 4B, 5A, 6B, 7B, 8A, 9B, 10A, 11A, 12A, 13A, 14A, 15A
Класс: 7
Какое событие в 8 веке стало началом арабского завоевания Центральной Азии?
Ответ: C) Приход арабских войск
Какое важное культурное влияние оказали арабы на регион Авераннах?
Ответ: B) Распространение ислама
Какая столица Авераннах стала центром науки и культуры в 8 веке?
Ответ: B) Самарканд
Какая из характеристик была присуща обществу Хорасана в 8 веке?
Ответ: D) Развитие торговли и ремёсел
Как назывался знаменитый ученый, который жил в Хорасане в 8 веке и сделал вклад в математику и астрономию?
Ответ: B) Аль-Хорезми
Что стало причиной культурного расцвета Авераннах в 8 веке?
Ответ: B) Арабское завоевание
Какой язык стал доминировать в области науки и образования в Хорасане в 8 веке?
Ответ: D) Арабский
Кто был основным противником арабов в регионе во время завоевания Хорасана?
Ответ: B) Тюрки
Какое из культурных достижений связано с Хорасаном в 8 веке?
Ответ: C) Появление шедевров поэзии
Какое влияние оказала Исламская культура на архитектуру в Авераннах в 8 веке?
Ответ: B) Развитие купольной архитектуры
Общий объём теста состоит из 10 вопросов, каждый из которых направлен на проверку знаний учащихся о роли Авераннах и Хорасана в 8 веке.
Тест по окружающему миру для 3 класса
Тема: Воздух и его охрана
Количество вопросов: 20
Какое из следующих утверждений верно о воздухе?
Какой газ в основном составляет воздух?
Какое из следующих действий помогает охранять воздух?
Что происходит, когда воздух загрязняется?
Какое явление происходит, когда воздух нагревается?
Что является причиной загрязнения воздуха?
Какая растительность помогает очищать воздух?
Что может произойти из-за чрезмерного использования автомобилей?
Какой из следующих предметов выделяет вредные газы при использовании?
Что мы можем сделать, чтобы сохранить чистоту воздуха?
Какая из следующих профессий занимается борьбой с загрязнением воздуха?
Что в воздухе помогает растениям дышать?
Как мы можем уменьшить количество отходов?
Какое из следующих утверждений о свежем воздухе верно?
Что такое озоновый слой?
Какое влияние на человека оказывает загрязненный воздух?
Какой органический газ нам необходим для дыхания?
Какой из следующих способов помогает справиться с загрязнением воздуха в городе?
Как мы называем чистый, свежий воздух, который мы вдыхаем?
Почему важно заботиться о воздухе?
Пожалуйста, используйте этот тест для подготовки школьников к изучению темы «Воздух и его охрана».
Тема: Времена глаголов (Present Simple Active, Present Perfect Active, Present Progressive Active, Present Perfect Progressive Active, Present Simple Passive, Past Simple Passive, Present Perfect Passive)
1. Which sentence is in Present Simple Active?
A) She is eating lunch.
B) She eats lunch every day.
C) She has eaten lunch.
D) She has been eating lunch.
2. Which sentence is in Present Perfect Active?
A) They play football.
B) They played football.
C) They have played football.
D) They are playing football.
3. Choose the Present Progressive Active form.
A) I read a book.
B) I have read a book.
C) I am reading a book.
D) I will read a book.
4. Which sentence is in Present Perfect Progressive Active?
A) He has studied for three hours.
B) He is studying for his exams.
C) He has been studying for three hours.
D) He studies every day.
5. Identify the Present Simple Passive sentence.
A) The book is read by John.
B) John reads the book.
C) John has read the book.
D) The book has been read by John.
6. Which of the following is in the Past Simple Passive?
A) The letter was sent yesterday.
B) The letter is sent every day.
C) The letter has been sent.
D) The letter is being sent.
7. Which sentence is in Present Perfect Passive?
A) The homework is done by the students.
B) The homework was done by the students.
C) The homework has been done by the students.
D) The homework is being done by the students.
8. Choose the correct Present Simple Active sentence.
A) They enjoys basketball.
B) They won’t enjoy basketball.
C) They enjoy basketball.
D) They are enjoying basketball.
9. Identify the sentence in Present Perfect Active.
A) I finished my project.
B) I have finished my project.
C) I am finishing my project.
D) I am going to finish my project.
10. Which sentence shows Present Progressive Active form?
A) She has been taking a nap.
B) She has taken a nap.
C) She is taking a nap.
D) She takes a nap.
11. What is the Present Perfect Passive of "The manager approved the report"?
A) The report is approved by the manager.
B) The report has been approved by the manager.
C) The report was approved by the manager.
D) The report will be approved by the manager.
12. Which sentence is in the Present Simple Passive form?
A) The report is written by Sarah.
B) Sarah writes the report.
C) The report was written by Sarah.
D) Sarah has written the report.
13. Choose the correct Past Simple Passive sentence.
A) The movie was watched by millions.
B) Millions watch the movie.
C) Millions have watched the movie.
D) The movie is watched by millions.
14. Identify the Present Perfect Progressive Active sentence.
A) They have been working hard.
B) They worked hard.
C) They are working hard.
D) They have worked hard.
15. Which of the following sentences uses Present Simple Passive?
A) The cookies are baked by my mom.
B) My mom bakes cookies.
C) My mom has baked cookies.
D) My mom is baking cookies.
16. Choose the sentence in Past Simple Passive.
A) The car was repaired by the mechanic.
B) The mechanic repairs the car.
C) The mechanic has repaired the car.
D) The car is repaired by the mechanic.
17. Identify the Present Perfect Passive sentence.
A) The letter is signed by him.
B) The letter has been signed by him.
C) He signed the letter.
D) He is signing the letter.
18. Which of the sentences is in Present Simple Active?
A) I play soccer on Sundays.
B) I have played soccer on Sundays.
C) I am playing soccer on Sundays.
D) I have been playing soccer on Sundays.
19. Find the Present Perfect Active sentence.
A) She writes a letter.
B) She has written a letter.
C) She is writing a letter.
D) She wrote a letter.
20. What is the Present Progressive Active form of "He (run) in the park"?
A) He runs in the park.
B) He has run in the park.
C) He is running in the park.
D) He ran in the park.
21. Choose the correct form for Present Perfect Progressive Active.
A) They have being studying for hours.
B) They have studied for hours.
C) They have been studying for hours.
D) They study for hours.
22. Identify the Present Simple Passive form of "The teacher corrects the tests."
A) The tests are corrected by the teacher.
B) The tests were corrected by the teacher.
C) The tests have been corrected by the teacher.
D) The teacher has corrected the tests.
23. Which sentence is in Past Simple Passive?
A) The homework is completed by the students.
B) The homework has been completed.
C) The homework was completed by the students.
D) The homework is being completed by the students.
24. Choose the Present Perfect Passive form of "They have received a letter."
A) A letter has been received by them.
B) They are receiving a letter.
C) They receive a letter.
D) They received a letter.
25. Identify the Present Perfect Active sentence.
A) He is cooking dinner.
B) He has cooked dinner.
C) He cooks dinner.
D) He is cooking dinner.
26. Which of the following is in Present Simple Active?
A) They are going to school.
B) They have gone to school.
C) They go to school.
D) They went to school.
27. Choose the sentence in Present Progressive Active.
A) She has finished her work.
B) She was finishing her work.
C) She is finishing her work.
D) She finishes her work.
28. What is the Past Simple Passive of "The craftsmen made furniture"?
A) The furniture will be made by the craftsmen.
B) The furniture is made by the craftsmen.
C) The furniture was made by the craftsmen.
D) The craftsmen have made furniture.
29. Which sentence is in Present Perfect Progressive Active?
A) They studied for the exam.
B) They have been studying for the exam.
C) They are studying for the exam.
D) They have studied for the exam.
30. Identify the Present Simple Passive sentence.
A) The flowers are watered every day.
B) Every day, I water the flowers.
C) I have watered the flowers.
D) I am watering the flowers.
31. Choose the correct Past Simple Passive form.
A) The book was wrote by the author.
B) The book was written by the author.
C) The author has written the book.
D) The author write the book.
32. Which sentence is in Present Perfect Passive?
A) The project has been finished.
B) They finished the project.
C) They are finishing the project.
D) They have finished the project.
33. Identify the Present Simple Active form.
A) He has been playing football.
B) He plays football.
C) He is playing football.
D) He played football.
34. Choose the correct Present Progressive Active sentence.
A) I have been working on my project.
B) I am working on my project.
C) I worked on my project.
D) I was working on my project.
35. What is the Present Perfect Passive of "The company has launched a new product"?
A) A new product has been launched by the company.
B) The company has launched a new product.
C) A new product is being launched by the company.
D) The product was launched by the company.
Этот тест поможет учащимся закрепить знания по разным временам английского языка и протестировать их понимание. Успехов на экзаменах!