Тест на тему much many some any lots of a little a few

Тест по геометрии Тема: Цилиндр Класс: 11 Тип вопросов: Открытый вопрос Количество вопросов: 8 Ответы: да

Вопросы

1. Найдите объём цилиндра. Радиус основания r = 4 см, высота h = 9 см. Запишите формулу и выполните вычисления.

2. Найдите боковую поверхность цилиндра. Радиус основания r = 5 см, высота h = 10 см. Запишите формулу и выполните вычисления.

3. Запишите формулу общей площади цилиндра S = 2πr(h + r) и найдите S для цилиндра с радиусом r = 3 см и высотой h = 7 см.

4. Цилиндр имеет диаметр основания d = 12 см и высоту h = 15 см. Найдите объём V и общую площадь S.

5. Объясните, как изменится объём цилиндра, если радиус удваивается, а высота остаётся неизменной. Чему равна новая величина V по отношению к исходной?

6. Цилиндр имеет высоту h = 12 см и диаметр основания d = 6 см. Найдите:

   • радиус r;
   • объём V;
   • боковую поверхность LSA.

7. Для цилиндра с высотой h = 8 см и радиусом r = 4 см найдите отношение боковой поверхности к полной площади цилиндра (LSA к S). Покажите вычисления.

8. Цилиндр имеет радиус r = 7 см и высоту h = 11 см. Найдите объём V и общую площадь S.

Ответы

1. V = π r^2 h = π · 4^2 · 9 = 16 · 9 π = 144π см^3 ≈ 452.39 см^3.

2. LSA = 2πrh = 2π · 5 · 10 = 100π см^2 ≈ 314.16 см^2.

3. S = 2πr(h + r) = 2π · 3 · (7 + 3) = 6π · 10 = 60π см^2 ≈ 188.50 см^2.

4. r = d/2 = 6 см. V = π r^2 h = π · 36 · 15 = 540π см^3 ≈ 1696.46 см^3. S = 2πr(h + r) = 2π · 6 · (15 + 6) = 12π · 21 = 252π см^2 ≈ 791.68 см^2.

5. Объём цилиндра V пропорционален r^2 (V = πr^2h, при фиксированной h). Если радиус удваивается, то V увеличивается в 4 раза. Обоснование: (2r)^2 = 4r^2.

6. r = d/2 = 3 см. V = π r^2 h = π · 9 · 12 = 108π см^3 ≈ 339.29 см^3. LSA = 2πrh = 2π · 3 · 12 = 72π см^2 ≈ 226.19 см^2.

7. LSA/S = [2πrh] / [2πr(h + r)] = h / (h + r) = 8 / (8 + 4) = 8/12 = 2/3 ≈ 0.6667.

8. V = π r^2 h = π · 7^2 · 11 = 539π см^3 ≈ 1693.32 см^3. S = 2πr(h + r) = 2π · 7 · (11 + 7) = 14π · 18 = 252π см^2 ≈ 791.68 см^2.

Тест по английскому языку: Тема "Used to"

Вопросы:

1. Which sentence is correct?

   • A) I use to play football when I was a child.
   • B) I used to play football when I was a child.
   • C) I used play football when I was a child.
   • D) I using to play football when I was a child.

   Ответ: B

2. What does "used to" express?

   • A) A current habit
   • B) A past habit
   • C) A future plan
   • D) An ongoing action

   Ответ: B

3. Choose the correct sentence:

   • A) He is used to wake up early.
   • B) He used to wake up early.
   • C) He use to wake up early.
   • D) He used waking up early.

   Ответ: B

4. Complete the sentence: "She _____ play the piano when she was younger."

   • A) used to
   • B) use to
   • C) uses to
   • D) using to

   Ответ: A

5. Which is NOT a correct usage of "used to"?

   • A) They used to go camping every summer.
   • B) She is used to studying late at night.
   • C) He used to be a teacher.
   • D) I am used to drink coffee every morning.

   Ответ: D

6. Select the correct option: "I _____ go jogging in the park."

   • A) used to
   • B) use to
   • C) using to
   • D) am used to

   Ответ: A

7. What is the negative form of "I used to like swimming"?

   • A) I didn't used to like swimming.
   • B) I don't used to like swimming.
   • C) I used not to like swimming.
   • D) I didn't use to like swimming.

   Ответ: D

8. Choose the right sentence:

   • A) We use to go to the same school.
   • B) We used to going to the same school.
   • C) We used to go to the same school.
   • D) We using to go to the same school.

   Ответ: C

9. What does the phrase "get used to" mean?

   • A) To become familiar with something
   • B) To stop doing something
   • C) To remember something
   • D) To learn something new

   Ответ: A

10. Choose the correct completion: "After moving to the city, I _____ driving in heavy traffic."

    • A) used to
    • B) use to
    • C) am used to
    • D) was used to

    Ответ: C

11. Select the correct past sentence:

    • A) They was used to go to the zoo every weekend.
    • B) They used to go to the zoo every weekend.
    • C) They used going to the zoo every weekend.
    • D) They is used to go to the zoo every weekend.

    Ответ: B

12. Which sentence is correct regarding a habit that no longer exists?

    • A) I use to eat meat.
    • B) I used to be a vegetarian.
    • C) I used being a vegetarian.
    • D) I am used to eat vegetables.

    Ответ: B

13. Choose the right sentence in the past tense:

    • A) She didn't used to like cheese.
    • B) She didn't use to like cheese.
    • C) She wasn't used to like cheese.
    • D) She doesn't used to like cheese.

    Ответ: B

14. Select the correct option: "My brother _____ play video games all day."

    • A) used to
    • B) use to
    • C) is used to
    • D) was used to

    Ответ: A

15. Which of the following sentences indicates a change over time?

    • A) I am used to living in a big city now.
    • B) I used to live in a small town.
    • C) She is used to reading every night.
    • D) He used to play basketball in high school.

    Ответ: B

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Ответы на тест:

1. B
2. B
3. B
4. A
5. D
6. A
7. D
8. C
9. A
10. C
11. B
12. B
13. B
14. A
15. B

Удачи в подготовке к экзаменам!

Тест по английскому языку для 3 класса

Тема: Present Simple, Present Continuous, Traffic Light Rule, Сравнительная / Превосходная форма прилагательных

Инструкции: Заполните пропуски подходящими словами, используя Present Simple, Present Continuous или формы прилагательных.

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1. She always ____ (to play) with her friends after school.
Ответ: plays

2. They ____ (to eat) breakfast right now.
Ответ: are eating

3. It is ____ (cold) today than yesterday.
Ответ: colder

4. He usually ____ (to read) a book in the evening.
Ответ: reads

5. I ____ (to watch) TV at the moment.
Ответ: am watching

6. This test is ____ (easy) than the last one.
Ответ: easier

7. My brother ____ (to play) soccer every weekend.
Ответ: plays

8. The sun ____ (to shine) brightly today.
Ответ: is shining

9. This puzzle is the ____ (difficult) of all.
Ответ: most difficult

10. She ____ (to study) for her exams now.
Ответ: is studying

11. The blue car is ____ (fast) than the red one.
Ответ: faster

12. They sometimes ____ (to go) to the cinema.
Ответ: go

13. My sister ____ (to draw) a picture at this moment.
Ответ: is drawing

14. Jack is the ____ (tall) boy in the class.
Ответ: tallest

15. We usually ____ (to have) dinner at 7 PM.
Ответ: have

16. She is ____ (happy) now than she was last week.
Ответ: happier

17. I always ____ (to do) my homework after school.
Ответ: do

18. Look! The children ____ (to play) in the park right now.
Ответ: are playing

19. This is the ____ (good) movie I’ve ever seen.
Ответ: best

20. My mom ____ (to cook) dinner at the moment.
Ответ: is cooking

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Ответы:

1. plays
2. are eating
3. colder
4. reads
5. am watching
6. easier
7. plays
8. is shining
9. most difficult
10. is studying
11. faster
12. go
13. is drawing
14. tallest
15. have
16. happier
17. do
18. are playing
19. best
20. is cooking

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Удачи на тестах!