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Контрольная работа по алгебре для учеников 7 класса
Тема: Координаты и графики. Функции
Единственный выбор
Что такое координаты точки на плоскости? A) Растояние от начала до точки B) Угол поворота до точки C) Пара чисел (x, y) D) Длина отрезка
Как называется график уравнения y = 2x + 3? A) Прямая B) Парабола C) Гипербола D) Эллипс
Какое уравнение задает параболу? A) y = x^3 B) y = x^2 C) y = 1/x D) y = |x|
Функция y = 4x - 5 является ... A) Линейной B) Квадратичной C) Показательной D) Логарифмической
Какова координата у точки пересечения графика функции y = 2x - 1 с осью OX? A) 1 B) -2 C) 0,5 D) -1
Как называется участок графика, который представляет собой прямую, не содержащуюся в графике функции? A) Асимптота B) Парабола C) Траектория D) Синусоида
Как называется скорость изменения функции в определенной точке графика? A) Тангенс B) Предел C) Производная D) Интеграл
Какое уравнение задает окружность на плоскости? A) y = x^2 B) x^2 + y^2 = r^2 C) y = kx + b D) y = sin(x)
Что такое монотонная функция? A) Функция, у которой есть нижние и верхние пределы B) Функция, у которой график не имеет точек перегиба C) Функция, которая строго возрастает или строго убывает на заданном промежутке D) Функция, у которой график проходит через начало координат
Чему равно значение функции y = 3x - 2 при x = 4? A) 12 B) 10 C) 14 D) 8
Как называется график функции y = x^2? A) Прямая B) Парабола C) Гипербола D) Экспонента
Что такое асимптота на графике функции? A) Участок графика, приближающийся к оси координат B) Участок графика, стремящийся к бесконечности C) Прямая, которой график функции стремится приблизиться, но никогда не достигает D) Равнобедренная трапеция
Какой график представляет функцию y = |x| ? A) Прямая B) Парабола C) Гипербола D) V-образная линия
Что такое область определения функции? A) Множество значений, которые принимает функция B) Множество значений аргумента, при которых функция определена C) Множество значений, к которым стремится функция D) Множество точек экстремума функции
Какая из приведенных функций является четной? A) y = x^3 B) y = x^2 C) y = sin(x) D) y = cos(x)
Чему равно значение функции y = 5x - 3 при x = -1? A) -8 B) -3 C) -1 D) -2
Как называется точка, в которой график функции пересекает ось OY? A) Вершина B) Экстремум C) Абсцисса D) Ни один из вариантов
Что такое нули функции? A) Точки перегиба графика функции B) Точки, в которых функция равна нулю C) Точки, в которых функция не определена D) Точки экстремума функции
Какова координата y вершины параболы, заданной уравнением y = x^2 - 4x + 3? A) -5 B) 3 C) -4 D) 2
Какое уравнение задает гиперболу? A) y = x^3 B) x^2 - y^2 = 1 C) y = 1/x D) y = |x|
Ответы:
Какое значение имеет \( 2^3 \)?
Какое значение имеет \( 5^0 \)?
Чему равно \( 3^2 \cdot 3^3 \)?
Какое значение имеет \( 10^{-2} \)?
Как можно записать \( x^4 \cdot x^2 \)?
Чему равно \( (2^3)^2 \)?
Какой из следующих примеров равен \( 7^1 \)?
Сколько нулей в числе \( 10^4 \)?
Какой из следующих примеров равен \( 2^5 \)?
Чему равно \( \frac{3^4}{3^2} \)?
Пожалуйста, внимательно прочитайте каждый вопрос и выберите правильный ответ, отметив букву, соответствующую вашему выбору. Удачи!
Ниже тест по английскому языку на тему Great Britain. Тип вопросов — открытые. 5 вопросов. В конце — образцы ответов (примерные ответы, которые можно использовать как ключ). Все вопросы на английском.
Test: Great Britain (11th Grade, Open-Ended)
Instructions for students:
Question 1 Write an essay about Great Britain that explains its geographic composition (England, Scotland, and Wales), a brief note on its climate and landscapes, and how these geographical features contribute to the national character and cultural diversity.
Question 2 Explain the political system of the United Kingdom, focusing on the roles of the monarch, Parliament (House of Commons and House of Lords), the Prime Minister, and the process by which a bill becomes law. Include a short note on the concept of a constitutional monarchy.
Question 3 Compare London (England) and Edinburgh (Scotland) in terms of their history, economy, and culture. Highlight two or three landmarks or features for each city and discuss how they reflect their respective national identities.
Question 4 Choose a national symbol of Great Britain and discuss its meaning and significance (for example, the Union Jack, or England's St George's Cross, Scotland's St Andrew's Cross). Explain what each symbol represents publicly and how it is used in official and everyday contexts. Also note any important distinctions (for example, Wales’ flag is not represented in the Union Jack).
Question 5 Discuss the influence of Great Britain on world culture in three domains: literature, science, and music. For each domain, provide at least two notable British examples (authors/playwrights or works; scientists or discoveries; musicians or bands) and briefly explain their global impact.
Answer key / Sample answers (прикладные образцы ответов)
Sample answer (Q1) Great Britain is the geographic island that consists of England, Scotland, and Wales. It is bordered by the Irish Sea to the west, the North Sea to the east, the English Channel to the south, and the Atlantic Ocean to the north-west. The landscape is varied: the Scottish Highlands, the Lake District and Pennines in England, and the rugged mountains of Wales such as Snowdonia. The climate is temperate and maritime, with mild winters and cool summers; rainfall is fairly common and weather can change quickly. Major cities include London (the capital of the UK and its largest city), Birmingham, Manchester, Glasgow, and Cardiff. The geography and landscapes shape national character: distinct regional identities and dialects, a tradition of regional pride (e.g., Scottish culture and Welsh culture), as well as a shared language and institutions. Everyday life blends urban modernity with rural and regional traditions—sports like football, rugby, cricket; regional foods; and festivals. In short, Great Britain’s geography and landscapes contribute to a diverse but interconnected cultural identity that has influenced art, literature, and politics globally.
Sample answer (Q2) The United Kingdom has a constitutional monarchy and a constitutional framework that limits the monarch’s powers. The Parliament consists of two houses: the House of Commons (elected MPs) and the House of Lords (appointed members, including life peers and bishops). The Prime Minister is the head of government and is usually the leader of the political party with the most seats in the Commons. The monarch serves as the head of state with mainly ceremonial duties.
A bill becomes law through a multi-stage process: a bill is proposed in Parliament and goes through readings and committee stages in the House of Commons; if approved, it moves to the House of Lords for scrutiny and potential amendments. After both Houses agree on the text, the bill goes to the monarch for royal assent, which is a formality in modern times; once granted, the bill becomes law. The system balances democratic representation with checks and balances, and the monarch’s role is largely symbolic, while Parliament and the Prime Minister govern the country.
Sample answer (Q3) London and Edinburgh reflect different facets of Britain’s history, economy, and culture. London is the country’s political and financial capital, home to institutions such as the Parliament, the Bank of England, and dozens of global companies. Its economy is diverse—finance, media, technology, and services—and its landmarks (Big Ben, the Tower of London, Buckingham Palace) symbolize imperial and modern Britain. Edinburgh, Scotland’s capital, has a rich medieval and Enlightenment heritage. Its economy emphasizes education, research, and culture, with two universities and a strong tourism sector. Landmarks such as Edinburgh Castle and the Royal Mile reflect Scotland’s history, while the city’s festivals (notably the Edinburgh Festival Fringe) showcase its literary and artistic vitality. Culturally, London is cosmopolitan and fast-paced, influencing global fashion, theatre, and music; Edinburgh is celebrated for its literary tradition and distinctive Scottish identity. Both cities attract visitors and contribute to Britain’s global image, but they embody different historical trajectories and cultural strengths.
Sample answer (Q4) The Union Jack symbolizes the political union of England, Scotland, and Ireland within the United Kingdom. It combines the crosses of England (St George’s Cross), Scotland (St Andrew’s Saltire), and Ireland (St Patrick’s Cross) to represent the union of these kingdoms in 1801. Wales is not represented by its own cross in the Union Jack; its flag remains a separate symbol. The flag’s design reflects historical alliances and the parliamentary union, and it is used on government buildings, at national events, and around the world as a symbol of the UK. Individual flags also carry meaning: England’s red cross on white represents St George; Scotland’s white saltire on blue represents St Andrew; Ireland’s red saltire represents St Patrick (in the Union Jack). The Union Jack thus fosters a sense of national unity while Wales retains its own distinct national emblem.
Sample answer (Q5) Great Britain has profoundly shaped world culture in literature, science, and music. In literature, William Shakespeare created plays and poems that have influenced drama, language, and storytelling around the world; Jane Austen’s novels continue to be studied for their insights into society and human relationships; Charles Dickens highlighted social issues of Victorian England and remains a staple of world literature. In science, Isaac Newton’s laws of motion and gravity transformed physics and mathematics; Charles Darwin formulated the theory of evolution, reshaping biology and our understanding of life. In music, The Beatles helped define modern rock and pop, influencing generations of musicians globally; The Rolling Stones contributed to the global spread of rock music. Beyond individuals, British universities and research institutions fostered discoveries, and British innovations in music, literature, and science have influenced cultures worldwide. Overall, Britain’s cultural legacy is visible in classrooms, museums, stages, and concert venues across the globe.
Тест по английскому языку для учащихся 3 класса. Тема: Have (has)
Choose the correct form of the verb:
Which is the correct sentence? A) He have a red bike. B) She has a yellow pencil. C) I has a big book. D) You having a green bag.
Select the right form of the verb:
Complete the sentence with the right word:
Which sentence is correct? A) She have a nice dress. B) He has a red ball. C) They having fun at the park. D) You has a white hat.
Pick the correct form of the verb:
Choose the right sentence: A) I have a new pencil. B) You has a big house. C) She having breakfast now. D) He have a yellow car.
Fill in the blank:
Decide the correct verb form:
Which sentence is accurate? A) She have a pink dress. B) They has a dog and a cat. C) We having a party tomorrow. D) You have a green bike.
Select the right verb form:
Which sentence is correct? A) He have a homework to do. B) She has a new computer. C) They has lunch now. D) You having a pen.
Choose the correct form of the verb:
Complete the sentence with the correct word:
Pick the accurate sentence: A) I have a blue bag. B) You has a cat. C) She having a party. D) He have a new teacher.
Select the appropriate verb form:
Fill in the blank:
Decide on the correct verb choice:
Choose the right sentence: A) She have a nice dress. B) He has a new bike. C) They having a game. D) You has a red ball.
Pick the correct verb form:
This test is provided without answers. Good luck with your preparation!
Тест по математике для 4 класса
Тема: Вычитание суммы из числа
Инструкция: Ответьте на каждый вопрос, выполняя вычитание суммы из числа. Пожалуйста, пишите свои ответы в ясной и понятной форме.
Вопрос 1:
Из числа 50 вычтите сумму 15 и 10. Какой результат?
Вопрос 2:
С какого числа нужно вычесть сумму 12 и 8, чтобы получить 25?
Вопрос 3:
Из числа 100 вычтите сумму 20, 15 и 5. Какой ответ получится?
Вопрос 4:
Если вычесть сумму 45 и 5 из числа 100, каков будет результат?
Вопрос 5:
Какое число получится, если из 75 вычесть сумму 30 и 10?
Желаем удачи на тесте!