Тест на тему Повторение изученного в 5 классе

Ниже тест по Present Continuous для 4 класса. Тип вопросов: множественный выбор. Всего 20 вопросов. Ответы приведены после списка.

Инструкция: выберите правильное предложение в Present Continuous (английский). Варианты помечены A, B, C, D.

1. Выберите предложение в Present Continuous, означающее действие, происходящее прямо сейчас. A) She is reading a book now. B) She reads a book now. C) She is read a book now. D) She reading a book now.

2. Выберите предложение в Present Continuous, которое описывает действие, происходящее в данный момент. A) They are playing football at the moment. B) They play football at the moment. C) They are play football at the moment. D) They are playing football yesterday.

3. Complete: She _____ dinner now. A) cooks B) is cooking C) is cook D) cooking

4. Выберите предложение, образующее вопрос в Present Continuous. A) Are you listening to music right now? B) Are you listen to music right now? C) Do you listen to music right now? D) Are you listening to music right now?

5. What is he doing now? A) He is running in the park. B) He runs in the park now. C) He run in the park now. D) He is run in the park now.

6. Выберите отрицательное предложение в Present Continuous. A) They are not playing football now. B) They are playing football now. C) They is not playing football now. D) They are not playing football now? (вопросительный знак не нужен)

7. Which sentence is incorrect in Present Continuous? A) I am studying for the test. B) She is running to the bus. C) We are goes to school. D) They are watching TV.

8. Choose the sentence with a temporary action using now/this week. A) I stay with my aunt this week. B) I am staying with my aunt this week. C) I stays with my aunt this week. D) I staying with my aunt this week.

9. They are building a sandcastle. A) He and his sister building a sandcastle. B) He and his sister are building a sandcastle. C) He and his sister builds a sandcastle. D) He and his sister is building a sandcastle.

10. Is she watching a movie now? A) Is she watching a movie now? B) Are she watching a movie now? C) She is watching a movie now? D) She watching a movie now?

11. Negative: He is not cleaning his room now. A) He isn't cleaning his room now. B) He is cleaning his room now. C) He not cleaning his room now. D) He isn't clean his room now.

12. The students are painting the wall. A) They are painting the wall now. B) They paint the wall now. C) They are paint the wall now. D) They is painting the wall now.

13. He and his friends are playing video games. A) He and his friends are playing video games. B) He and his friends playing video games. C) He and his friends are plays video games. D) He and his friends is playing video games.

14. We are meeting him tomorrow. A) We are meeting him tomorrow. B) We meeting him tomorrow. C) We are meet him tomorrow. D) We are metting him tomorrow.

15. Negative: I am not sitting down now. A) I am sitting down now. B) I am not sitting down now. C) I am not sits down now. D) I am not sitting down then.

16. They are looking for their keys. A) They are looking for their keys. B) They look for their keys. C) They looking for their keys. D) They are look for their keys.

17. What are they doing now? A) What are they doing now? B) What are they do now? C) What are they doing yesterday? D) What they are doing now?

18. The cat is sleeping on the chair. A) The cat sleeping on the chair. B) The cat is sleeping on the chair. C) The cat sleeps on the chair. D) The cat sleep on the chair.

19. Выберите отрицательное предложение в Present Continuous. A) They are not coming to the party. B) They are not come to the party. C) They not coming to the party. D) They aren't come to the party.

20. She is reading a magazine. A) She reads a magazine. B) She is reading a magazine. C) She read a magazine. D) She is read a magazine.

Ответы: 1A, 2A, 3B, 4A, 5A, 6A, 7C, 8B, 9B, 10A, 11A, 12A, 13A, 14A, 15B, 16A, 17A, 18B, 19A, 20B

Ниже представлен тест по геометрии, тема: Тригонометрия для 9 класса. Тип вопросов: открытые. Всего вопросов: 15. В конце — ответы с пошаговыми решениями.

Тест

1. В прямоугольном треугольнике ABC угол C = 90°, AB = 13, BC = 5. Найдите AC и три тригонометрических отношения для угла A: sin A, cos A, tan A.

2. В прямоугольном треугольнике угол A острый; sin A = 0.6. Найдите cos A и tan A.

3. Найдите угол A, если tan A = 2/3. Ответ запишите округленно до десятых градуса.

4. Высота дерева h над уровнем земли: расстояние от наблюдателя до ствола d = 8 м, угол возвышения к вершине дерева 40°. Найдите высоту дерева h.

5. В треугольнике угол A = 45°, гипотенуза c = 10. Найдите стороны a и b (противолежащую и прилежащую к углу A) и значения sin A, cos A.

6. В прямоугольном треугольнике один катет равен 7, гипотенуза равна 25. Найдите другой катет и значения sin, cos, tan угла, противолежащего этому катету.

7. Лестница длиной 6 м упирается в стену, угол между лестницей и полом равен 60°. Найдите высоту вершины лестницы на стене.

8. В прямоугольном треугольнике стороны 3 и 4 являются катетами. Найдите синус, косинус и тангенс угла, противоположного стороне длиной 3.

9. В прямоугольном треугольнике прилежащая к углу A сторона равна 9, гипотенуза равна 15. Найдите sin A, cos A и tan A.

10. Найдите cos A и tan A, если дано sin A = 1/2 и A острый.

11. Запишите тождество: sin^2 x + cos^2 x = 1. Кратко объясните, почему оно верно (без приведения к определению на числовых примерах).

12. Найдите угол A, если tan A = 1. Укажите градусы и помните об ограничении по диапазону.

13. В прямоугольном треугольнике гипотенуза равна 13, один из катетов равен 5. Найдите другой катет и значения sin A, cos A, tan A для угла, противоположного стороне длиной 5.

14. Угол наклона крыши по отношению к горизонту задается соотношением tan θ = 6/8. Найдите угол θ в градусах (округлите, если нужно).

15. В прямоугольном треугольнике для острых углов A и B выполняется A + B = 90°. Докажите или опишите, почему sin A = cos B.

Ответы (образец решений)

1. AC = sqrt(AB^2 − BC^2) = sqrt(169 − 25) = sqrt(144) = 12. sin A = BC/AB = 5/13. cos A = AC/AB = 12/13. tan A = BC/AC = 5/12.

2. cos A = sqrt(1 − sin^2 A) = sqrt(1 − 0.36) = 0.8. tan A = sin A / cos A = 0.6 / 0.8 = 0.75 = 3/4.

3. A = arctan(2/3) ≈ 33.7° (округлено до десятых — примерно 33.7°).

4. h = d · tan 40° ≈ 8 · 0.8391 ≈ 6.71 м.

5. sin 45° = cos 45° = √2/2. Противолежащая к A сторона a = c · sin A = 10 · (√2/2) = 5√2. Прилежащая к A сторона b = c · cos A = 10 · (√2/2) = 5√2. Так что a = b = 5√2 ≈ 7.07.

6. Другой катет ≈ sqrt(25^2 − 7^2) = sqrt(625 − 49) = sqrt(576) = 24. sin угла напротив 7 = 7/25. cos = 24/25. tan = 7/24.

7. Высота h = 6 · sin 60° = 6 · (√3/2) = 3√3 ≈ 5.20 м.

8. sin угла, противоположного стороне 3: sin = 3/5 = 0.60. cos = 4/5 = 0.80. tan = 3/4 = 0.75.

9. Opposite стороны = sqrt(15^2 − 9^2) = sqrt(225 − 81) = sqrt144 = 12. sin A = 12/15 = 4/5 = 0.80. cos A = 9/15 = 3/5 = 0.60. tan A = 12/9 = 4/3 ≈ 1.33.

10. cos A = √(1 − (1/2)^2) = √(3/4) = √3/2. tan A = (1/2) / (√3/2) = 1/√3 = √3/3 ≈ 0.577.

11. sin^2 x + cos^2 x = 1 — это тождество. Оно следует из построения единичной окружности или из соотношений длин сторон при выражении sin и cos как координат точки на окружности радиуса 1.

12. A = 45° (для acute угла, tan A = 1).

13. Другой катет = sqrt(13^2 − 5^2) = sqrt(169 − 25) = sqrt(144) = 12. sin A = 5/13. cos A = 12/13. tan A = 5/12.

14. θ = arctan(6/8) = arctan(0.75) ≈ 36.87°.

15. Пусть A и B — острые углы прямоугольного треугольника, A + B = 90°. Тогда sin A = opposite/hypotenuse, cos B = adjacent/hypotenuse к углу B; так как углы A и B взаимно комплементарны, sin A = cos B. Также можно записать через определения: sin A = cos(90° − A) = cos B. Обоснование можно привести в рамках единичной окружности или свойств треугольника.

Если нужен формат теста в виде файла (PDF/Word) или в виде чисто формального шаблона с пустыми полями для записей учащихся, скажите — адаптирую под нужный формат.

Тест по английскому языку для 9 класса: Тема "Present Perfect"

Инструкция:

Заполните пропуски правильной формой глагола в Present Perfect.

1. I ______ (to read) that book three times.

2. She ______ (to visit) Paris twice.

3. They ______ (to finish) their homework already.

4. He ______ (not/to see) that movie yet.

5. We ______ (to go) to the new restaurant recently.

6. You ______ (to learn) English for five years.

7. The dog ______ (to escape) from the yard.

8. My friends ______ (to call) me last night.

9. I ______ (not/to try) sushi before.

10. She ______ (to travel) to several countries.

Ответы:

1. have read
2. has visited
3. have finished
4. has not seen
5. have gone
6. have learned
7. has escaped
8. called (это предложение в Past Simple, можно убрать)
9. have not tried
10. has traveled

Обратите внимание:

В 8-м вопросе был использован неправильный временной аспект (Past Simple), его можно заменить на Present Perfect для единства теста. Если необходимо, замените на "My friends ______ (to call) me today." и ответ будет "have called".

Тест по английскому языку для 6 класса

Тема: Предложения в Present Simple с наречиями частоты (usually, always, sometimes, often, rarely, never)

Инструкции: Заполните пропуски подходящими наречиями частоты: usually, always, sometimes, often, rarely или never.

1. She __________ goes to the gym in the morning.

2. They __________ eat pizza on Fridays.

3. He __________ forgets to do his homework.

4. I __________ play basketball after school.

5. My brother __________ watches TV in the evening.

6. We __________ have lunch at noon.

7. The cat __________ sleeps on the sofa.

8. My parents __________ go for a walk on Sundays.

9. I __________ see my friends on weekends.

10. She __________ reads books before bed.

11. Tom __________ eats vegetables.

12. They __________ travel abroad during the summer.

13. Emma __________ plays video games in her free time.

14. I __________ eat breakfast before school.

15. We __________ have birthday parties at home.

Конец теста. Удачи!