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8 Класс

Название: Тест по геометрии. Тема: Синус, косинус, тангенс и котангенс острого угла. Класс: 8. Тип вопросов: Открытые. Количество вопросов: 20. Без ответов.

В прямоугольном треугольнике острый угол обозначим как A. Обозначим противолежащую к A сторону за a, прилежащую к A за b, гипотенузу за c. Запишите формулы синуса, косинуса и тангенса угла A через a, b и c.
В прямоугольном треугольнике стороны относятся к острым углам следующим образом: противолежащая к одному из углов A сторона равна a, прилежащая — b, гипотенуза — c. Выразите синус, косинус и тангенс угла A через a, b и c.
В прямоугольном треугольнике с катетами 3 и 4, гипотенуза 5. Найдите синус, косинус, тангенс и котангенс угла, противолежащего катету 3.
Угол A равен 30°. Найдите значения синуса A, косинуса A и тангенса A.
Угол A равен 45°. Найдите значения синуса A, косинуса A и тангенса A.
Угол A равен 60°. Найдите значения синуса A, косинуса A и тангенса A.
Если tan A = 2/3, найдите синус A, косинус A и котангенс A (укажите численные значения).
Если cos A = 4/5, найдите синус A, тангенс A, котангенс A, секанс A и cosecанс A.
Если sin A = 3/5, найдите cos A, tan A, cotangent A, секанс A и cosecанс A.
Докажите тождество sin^2 A + cos^2 A = 1 для острого угла A.
В прямоугольном треугольнике противолежащая A сторона равна 5, прилежащая к A сторона равна 12, найдите sin A, cos A и tan A.
В том же треугольнике угол B — острый, противолежащий стороне 12. Найдите значения синуса, косинуса и тангенса угла B.
Если tan A = 1, найдите синус A и косинус A.
Если tan A = 1/2, найдите синус A и косинус A.
В прямоугольном треугольнике противолежащая A сторона равна 12, прилежащая к A сторона равна 5. Найдите синус A, косинус A и tan A.
Если cos A = 3/5, найдите синус A и tan A.
Если sin A = 4/5, найдите cos A и tan A.
Если tan A = 3/4, найдите синус A и косинус A (укажите точные значения).
Угол A — острый. Объясните, как связаны функции синус, косинус и тангенс через соотношение tan A = sin A / cos A, и приведите пример на конкретном равенстве сторон треугольника.
В единичной окружности точка соответствует углу A, и ее координаты равны (cos A, sin A). Укажите значения sin A, cos A и tan A для случая, когда угол A равен 30°.

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11 Класс

Инструкция: выберите один правильный вариант (A, B, C или D) для каждого из 20 вопросов. Ответы не приводятся.

Выберите предложение, в котором применяется сослагательное наклонение после вводной конструкции "It is essential that...". A) It is essential that he is on time. B) It is essential that he be on time. C) It is essential that he was on time. D) It is essential that he will be on time.
Choose the sentence that correctly uses a present unreal condition with "If I were you". A) If I was you, I would apologize. B) If I were you, I would apologize. C) If I am you, I would apologize. D) If I would be you, I would apologize.
Choose the sentence that shows proper use after "I wish" to express a present unreal situation. A) I wish I was taller. B) I wish I were taller. C) I wish I will be taller. D) I wish I am taller.
Choose the sentence that uses past tense after "as if" to express unreality. A) She speaks as if she knew the answer. B) She speaks as if she knows the answer. C) She speaks as if she will know the answer. D) She speaks as if she have known the answer.
The sentence with the present subjunctive after verbs of demand/recommendation. A) The teacher insists that he studies harder. B) The teacher insisted that he study harder. C) The teacher insisted that he studied harder. D) The teacher insisted that he will study harder.
Choose the sentence that uses "were to" to express a hypothetical future action. A) If she were to arrive early, she would help. B) If she was to arrive early, she would help. C) If she is to arrive early, she would help. D) If she would arrive early, she could help.
Choose the sentence that expresses present unreal wish with "I wish I knew...". A) I wish I know the answer. B) I wish I knew the answer. C) I wish I knews the answer. D) I wish I knew the answer already.
Choose the correct past-hypothetical sentence with "If only". A) If only I had listened to your advice, I would have avoided the mistake. B) If only I had listened to your advice, I would avoid the mistake. C) If only I listened to your advice, I would have avoided the mistake. D) If only I listen to your advice, I would have avoided the mistake.
The doctor recommended that she be admitted to hospital immediately. A) The doctor recommended that she be admitted to hospital immediately. B) The doctor recommended that she is admitted to hospital immediately. C) The doctor recommended that she was admitted to hospital immediately. D) The doctor recommended that she were admitted to hospital immediately.
Choose the sentence that shows the usual past form after "It's high time". A) It's high time that he went. B) It's high time that he go. C) It's high time that he goes. D) It's high time that he went, but I would prefer go.
Choose the sentence that uses "as if" with the correct past-subjunctive form. A) She swears as if she was an expert. B) She swears as if she were an expert. C) She swears as if she is an expert. D) She swears as if she will be an expert.
Choose the sentence that expresses regret about the past: "I wish I had..." A) I wish I had studied harder. B) I wish I have studied harder. C) I wish I studied harder. D) I wish I had studying harder.
The committee demanded that all participants be present. A) The committee demanded that all participants are present. B) The committee demanded that all participants be present. C) The committee demanded that all participants were present. D) The committee demanded that all participants were being present.
Choose the sentence that uses "as if" with past perfect to express an unreal past. A) She behaves as if she has seen a ghost. B) She behaves as if she had seen a ghost. C) She behaves as if she sees a ghost. D) She behaves as if she will see a ghost.
Choose the correct past unreal conditional: "If I had known about the party, I would..." A) If I had known about the party, I would have gone. B) If I had known about the party, I would go. C) If I know about the party, I would have gone. D) If I had known about the party, I would have going.
Suppose that she were to arrive early, what would you do? A) Suppose that she were to arrive early, what would you do? B) Suppose that she was to arrive early, what would you do? C) Suppose that she is to arrive early, what would you do? D) Suppose that she would arrive early, what would you do?
Which sentence correctly uses a hypothetical future with "were to"? A) If I were to win, I would travel the world. B) If I was to win, I would travel the world. C) If I am to win, I would travel the world. D) If I would win, I would travel the world.
Choose the sentence that expresses a wish about the future using "would". A) I wish that she comes to the party. B) I wish that she would come to the party. C) I wish that she will come to the party. D) I wish that she would comes to the party.
I insist that she join us. A) I insist that she joins us. B) I insist that she join us. C) I insist that she will join us. D) I insist that she would join us.
Choose the correct form for a present unreal wish about being more careful. A) If only I were more careful. B) If only I was more careful. C) If only I am more careful. D) If only I would be more careful.

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1 Класс

Тест по математике для 1 класса
Тема: Сложение и вычитание в пределах 10

Инструкции: Выберите только один правильный ответ из предложенных вариантов.

3 + 2 = ?
- a) 4
- b) 5
- c) 6
7 - 4 = ?
- a) 3
- b) 2
- c) 1
1 + 6 = ?
- a) 8
- b) 7
- c) 9
5 - 3 = ?
- a) 1
- b) 2
- c) 3
2 + 5 = ?
- a) 6
- b) 7
- c) 8
9 - 1 = ?
- a) 7
- b) 8
- c) 6
4 + 3 = ?
- a) 6
- b) 7
- c) 8
6 - 2 = ?
- a) 4
- b) 3
- c) 5
8 + 1 = ?
- a) 9
- b) 10
- c) 11
10 - 5 = ?
- a) 4
- b) 5
- c) 6
3 + 6 = ?
- a) 9
- b) 10
- c) 8
7 - 2 = ?
- a) 5
- b) 4
- c) 3

Удачи на тесте!

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2 Класс

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Тест на тему Создай практические задания по теме чередование гласных в корне слова

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