[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-158547-es":3,"doc-seo-158547-110":30,"detail-sidebar-cat-0-es-110":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":20,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},158547,1649267921044,"Ava Thompson","https://us-avatar.wpscdn.com/avatar/1800007509477c92dfb?_k=1786009248482753345",38,"Examen","Ejercicios PAES de matemáticas - M2","Ejercicios de matemáticas orientados a la preparación del examen PAES, con práctica sistemática y mini-ensayos por objetivo de aprendizaje. El contenido incluye actividades tipo prueba, referencias a test oficiales (por ejemplo, 2023) y sugerencias de estudio para mejorar resultados en el componente de Matemáticas. Se desarrollan problemas con funciones afines, porcentajes sucesivos, relaciones entre celdas, conteo combinatorio y razonamiento aplicado a contextos como escalas de tiempo y ganancias, guiando el proceso paso a paso.","Ejercicios paes de matemáticas  \nThis section offers math activities and mini-essays for each learning objective, as well as official PAES math tests from 2023 . You can also find support materials and study tips to help you prepare for your university entrance exams. For students studying for their PAES math test (M1), practicing regularly with similar exercises is key to achieving a high score. You can use past official tests or online math essays to get started. Before we dive into the solved exercises, take an online practice test to see how you would score. Then, follow along as we solve the first 10 problems from the PAES official math test (2023) . However, keep in mind that these exercises alone may not be enough to help you achieve a good score. For more comprehensive study resources, check out our online pre-university course, Unitips, which offers animated lessons, quizzes, and essays to help you prepare for your exam. Here's an example exercise: **Question 1:** A company charges $120,000 for renting an inflatable game for four hours, plus an additional $25,000 per hour. What is the maximum number of hours an agency can rent the game if they have a budget of $240,000? **Answer:** The relationship between the rental cost and the number of hours is an affine function due to the non-zero initial value. The hourly charge corresponds to the slope of the line, while the fixed fee is the initial value. Let me know if you'd like me to paraphrase any other parts of the text! Number of hours. In this example, we have the company's budget, so we need to find the number of hours x. $$240.000=25.000x+120.000$$ $$x=\\frac{240.000-120.000}{25.000}$$ $$x=4.8\\ hours$$ The company can only pay for 4 complete hours, and the answer is A. Question 2:  \nConsider a number p that is multiplied by 1.25 twice and then by 0.75 twice, as represented below: p∙1,25∙1,25∙0,75∙0,75 What do these multiplications represent with respect to the original number p? There were two increases of 25% and then two decreases of 25% . There was no increase in p nor decrease in p. There were two increases of 0.25 and then two decreases of 0.75 . There were two increases of 25% and then two decreases of 75% . Answer: A percentage is equivalent to dividing a quantity by 100, and taking the number of parts indicated by the percentage, for example, the 90% of a quantity \"p\" is equal to multiplying it by 0.9 . In this exercise, we are told that p is initially multiplied by 1.25, which is equivalent to an increase of 25% in the initial amount: $$1,25=1,00+0,25=\\frac{100}{100}+\\frac{25}{100}$$ On the other hand, when multiplying by values less than one, it implies a decrease, as happens in the last two multiplications: $$0,75=1,00-0,25=\\frac{100}{100}-\\frac{25}{100}$$ The conclusion is that there were two increases of 25% and two decreases of 25%, so the correct answer is A. Question 3: In the attached figure, the sum of the values of the adjacent cells in a row is equal to the value immediately above them (for example p+q=f) . If the sum of the three values in the last row is 17, what is the value of p+f? Answer: Let's start with the sum of the values in the last row to deduce the value of f: p+q+4=17 p+q=17-4=13 p+q=f f=13 The blank cell must have a value that, when added to f, results in 25: casillero en blanco=25-f=25-13=12 From here we calculate q: q+4=12 q=12-4=8 Knowing q and f, we find p: p+q=f p+8=13 p=5 Therefore, p+f = 18, that is, the correct answer is option A. Question 4: The \"My car\" automaker has five car brands, each with three models and each model in three colors. The \"Happy trip\" automaker has four car brands, each with three models and each model in four colors. If the car brands of the two automakers are distinct from each other, what is true? The \"Happy trip\" automaker offers three distinct options for choosing a car that the \"My car\" automaker does not. Both automakers offer the same number of distinct options for choosing a car. The \"My car\" au","cbCairhHqPXFLpOk","https://ap.wps.com/l/cbCairhHqPXFLpOk","pdf",50020,2,1,"Spanish","es",110,"# Ejercicios y práctica para PAES de matemáticas\n## Test oficiales y estrategia de estudio\n## Ejemplos resueltos de problemas\n### Función afín y costo por horas\n### Porcentajes sucesivos y equivalencias\n### Celdas en una figura y ecuaciones\n### Conteo de opciones con modelos y colores\n### Problemas de elección y diferencia de opciones\n### Diferencias horarias entre países\n### Ganancia y cálculo de cantidad comprada\n### Porcentajes sobre porcentajes","[{\"question\":\"Qué ventaja tiene practicar con ejercicios similares al PAES?\",\"answer\":\"Practicar con problemas del mismo estilo y con regularidad ayuda a desarrollar técnicas de resolución y a mejorar el desempeño en el examen.\"},{\"question\":\"Cómo se identifican funciones afines en ejercicios de costos?\",\"answer\":\"Cuando hay un valor inicial distinto de cero y una tasa adicional por unidad de tiempo, la relación entre costo y horas se expresa como función afín (pendiente y término fijo).\"},{\"question\":\"Qué enfoque se usa para resolver problemas de porcentajes sucesivos?\",\"answer\":\"Se interpreta cada porcentaje como multiplicación por 1 más (o menos) el porcentaje correspondiente, y luego se encadenan los factores para comparar incrementos y decrementos.\"}]","Ejercicios PAES de matemáticas - 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