Тест на тему егэ от призвания варягов до ледового побоища.даты

Ниже представлен тест по математике на тему «Производные» для 11 класса. Тип вопросов — открытый вопрос. Все вопросы требуют указать решение и показать шаги. Тест без ответов.

1. Найдите производную функции f(x) = x^5 - 3x^3 + 2x. Покажите все шаги решения.

2. Найдите производную функции f(x) = (x^2 + 1)^5. Объясните, какие правила применяете и как выполняете разложение по степеням/последовательность действий.

3. Найдите производную функции f(x) = x^2 · sin x. Покажите полный ход вычисления (правило произведения и, при необходимости, тригонометрические преобразования).

4. Найдите производную функции f(x) = (ln x) / x. Укажите область определения и приведите полное решение (правило частного и производная логарифма).

5. Найдите производную функции f(x) = sqrt(3x + 2). Покажите шаги и применяемое правило (степенное и цепное).

6. Найдите производную функции f(x) = x · e^{2x}. Детально распишите применение правила произведения и, если нужно, цепного правила.

7. Найдите производную функции f(x) = arctan(x^2). Распишите шаги решения (правило цепи и формула производной арктангенса).

8. Найдите производную функции f(x) = arcsin(3x). Укажите область допустимых значений x и покажите решение.

9. Найдите dy/dx для уравнения y^2 + x y − x^2 = 0, используя неявное дифференцирование. Поясните каждый шаг.

10. Найдите вторую производную функции f(x) = x^2 cos x, т.е. f''(x). Покажите полный процесс вычисления (правило произведения и треугольник по необходимости).

Тест по английскому языку: This/That (This that) Класс: 3 Тип вопросов: Единственный выбор Количество вопросов: 5 Ответы: Без ответов

1. Предмет близко к вам. Выберите правильное предложение: A) This is a ball. B) That is a ball. C) These is a ball. D) Those is a ball.

2. Предмет далеко от вас. Выберите правильное предложение: A) This is a ball. B) That is a ball. C) These is a ball. D) Those is a ball.

3. Выберите предложение, где правильно употреблено this (для предмета близко): A) This is my pencil. B) That is my pencil. C) These is my pencil. D) Those is my pencil.

4. Выберите предложение, где правильно употреблено that (для предмета далеко): A) This is my book. B) That is my book. C) These is my book. D) Those is my book.

5. Выберите корректное предложение о предмете, который ближе: A) This is a pen. B) That is a pen. C) These is a pen. D) Those is a pen.

Тест по английскому языку: Будущие формы (Future Forms)

Класс: 10
Тема: Future Forms
Количество вопросов: 20

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Вопрос 1

Which sentence is in the future simple tense? A) I will go to the store.
B) I am going to the store.
C) I am going to be going to the store.
D) I go to the store.

Ответ: A

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Вопрос 2

Choose the correct future continuous form: A) I will be sleeping at 10 PM tonight.
B) I sleep at 10 PM tonight.
C) I am sleeping at 10 PM tonight.
D) I will sleep at 10 PM tonight.

Ответ: A

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Вопрос 3

Which sentence uses "going to" correctly? A) She is going to help you with that project.
B) She goes to help you with that project.
C) She is help you with that project.
D) She will help you with that project.

Ответ: A

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Вопрос 4

Identify the sentence in the future perfect tense: A) They will have finished their homework by 8 PM.
B) They finish their homework by 8 PM.
C) They will finish their homework by 8 PM.
D) They are going to finish their homework by 8 PM.

Ответ: A

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Вопрос 5

Which sentence uses present continuous for future arrangements? A) I will eat dinner at 7 PM.
B) I am eating dinner at 7 PM.
C) I eat dinner at 7 PM.
D) I am going to eat dinner at 7 PM.

Ответ: B

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Вопрос 6

Choose the correct sentence using future perfect continuous: A) By next year, I will have been working here for three years.
B) By next year, I am working here for three years.
C) By next year, I have been working here for three years.
D) By next year, I will work here for three years.

Ответ: A

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Вопрос 7

Which of the following expresses a prediction? A) I am going to visit my grandparents.
B) It will rain tomorrow.
C) She is visiting her friend.
D) We are having a meeting.

Ответ: B

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Вопрос 8

What is the future form of “I (read) this book”? A) I will read this book.
B) I read this book.
C) I am going to read this book.
D) A and C are correct.

Ответ: D

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Вопрос 9

Choose the appropriate phrase to complete the sentence: “Tomorrow at this time, they _____ (study) for their exam.” A) will study
B) will be studying
C) study
D) are going to study

Ответ: B

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Вопрос 10

Identify the sentence that is NOT in a future form: A) I will travel to Paris next month.
B) She has a meeting next week.
C) They are going to watch a movie tonight.
D) He will finish his project by Friday.

Ответ: B

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Вопрос 11

Select the sentence that expresses an intention: A) I will clean my room tomorrow.
B) I am going to clean my room tomorrow.
C) I clean my room every Saturday.
D) I cleaned my room last week.

Ответ: B

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Вопрос 12

Which of these sentences is in the future perfect tense? A) She will complete the project by next week.
B) She is completing the project next week.
C) She completed the project last week.
D) She will be completing the project next week.

Ответ: A

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Вопрос 13

What is the correct future simple negative form of “I (not/make) dinner”? A) I don’t make dinner.
B) I won’t make dinner.
C) I am not making dinner.
D) I will not making dinner.

Ответ: B

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Вопрос 14

Which sentence indicates a planned event? A) I will go to the gym.
B) I am going to the gym.
C) I go to the gym.
D) I went to the gym.

Ответ: B

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Вопрос 15

Select the correct sentence using will: A) They will arrive at noon.
B) They are arriving at noon.
C) They have arrived at noon.
D) They had arrived at noon.

Ответ: A

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Вопрос 16

Which sentence correctly uses "going to" for a prediction? A) I think it is going to rain.
B) I think it rains.
C) I think it will rained.
D) I think it has rained.

Ответ: A

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Вопрос 17

Choose the correct form: “By the end of this year, I _____ (learn) English for five years.” A) will have learned
B) learn
C) will learn
D) am learning

Ответ: A

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Вопрос 18

Identify the sentence in the future simple tense: A) I am going to watch a film.
B) I will be watching a film.
C) I watched a film.
D) I will watch a film.

Ответ: D

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Вопрос 19

Which sentence describes an arrangement? A) I will go to the doctor tomorrow.
B) I am seeing a doctor tomorrow.
C) I typically see a doctor.
D) I see a doctor last week.

Ответ: B

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Вопрос 20

Select the correct negative future perfect form: “I (not/finish) my homework by 5 PM.” A) I will not finish
B) I won’t finishes
C) I will not finished
D) I not finish

Ответ: A

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Подсчет баллов

Каждый правильный ответ - 1 балл. Максимальное количество баллов: 20.

Успехов на экзаменах!

Тест по математике для учеников 4 класса - Тема: Уравнения

1. Решите уравнение: 3x - 5 = 7
2. Найдите значение переменной: y + 8 = 15
3. Какое число нужно подставить вместо x чтобы уравнение 4x - 2 = 18 выполнялось?
4. Решите уравнение: 2y + 3 = 11
5. Если x = 6, чему равно значение выражения 2x - 1?
6. Для какого числа уравнение x + 4 = 9 выполняется?
7. Найдите значение переменной: 5z - 7 = 18

Примечание: Тест представлен без ответов. Ученик должен самостоятельно решить уравнения.