The document contains 14 multiple choice questions about mathematical concepts such as linear equations, graphs, coordinate planes, and word problems. The questions are drawn from past Brazilian National High School Exam (Enem) tests from 2007 to 2018 and cover topics like linear functions, coordinate geometry, rates of change, and proportional reasoning.
This document contains 13 math problems related to geometry, algebra, and other topics. Some key details:
- Problem 1 involves finding parameters of linear functions relating shoe size and length for Brazil and the US.
- Problem 2 analyzes data from Felix Baumgartner's skydive record, calculating velocity at a given time and when he broke the sound barrier.
- Problem 3 involves matrix multiplication and finding the value of a parameter for a system of equations to have a solution.
- Problems 4-6 cover marketing discounts on course enrollments, volume calculations for a pool with dimensions in geometric progression, and nutrient content relationships in fertilizers.
- Later problems analyze triangles, polynomials,
The document contains 20 multiple choice questions about functions. Each question provides context about a function or functions, such as their definitions, graphs, or properties. The questions then ask the examinee to determine properties of the functions or choose the best representation of a function based on the information provided.
The document contains 20 multiple choice questions about mathematics topics such as functions, geometry, trigonometry, and algebra. The questions cover concepts like parabolas, areas, solid geometry, probability, combinatorics, and equations. The document provides a key with the correct answer for each question listed from A to E.
ANÁLISIS SÍSMICO DE LOSA TRIANGULAR DE DOS PISOS.Rosbert Malpaso
ANÁLISIS SÍSMICO DE UNA EDIFICACIÓN DE LOSA TRIANGULAR DE DOS PISOS A NIVEL PREGRADO DESARROLLADO EN LA FACULTAD DE INGENIERÍA CIVIL DE LA UNASAM. (GRADOS DE LIBERTAD, MODOS DE VIBRAR, FRECUENCIAS, DESPLAZAMIENTOS, ETC).
This very short document contains only letters with no other context or information provided. It does not contain enough substantive content to generate an informative summary.
1) The document contains 10 math problems from a Brazilian entrance exam (Fuvest). The problems cover topics like functions, geometry, probability, and word problems.
2) Mafalda is frustrated that she cannot solve one of the math problems. The problem asks her to solve 291.
3) A transportation company received a request to make an additional delivery, which would require deviating from the most direct route. The question calculates the minimum price the company would need to charge for the extra time and fuel required.
This document describes a transportation problem involving distributing scooters from production units (origins) to depots (destinations) at minimum cost. The problem can be formulated as a linear program with constraints to ensure supply equals demand. Several methods are presented to find optimal solutions, including the Northwest Corner Rule, Lowest Cost Entry Method, and Vogel's Approximation Method. An example transportation problem is then given to demonstrate solving it using these techniques.
The document contains 20 multiple choice questions about functions. The questions cover topics such as: graphs of polynomial, quadratic and logarithmic functions; maximums and domains of functions; relationships between input and output values; intersections of graphs; and analyzing real world scenarios involving functional relationships.
This document contains 13 math problems related to geometry, algebra, and other topics. Some key details:
- Problem 1 involves finding parameters of linear functions relating shoe size and length for Brazil and the US.
- Problem 2 analyzes data from Felix Baumgartner's skydive record, calculating velocity at a given time and when he broke the sound barrier.
- Problem 3 involves matrix multiplication and finding the value of a parameter for a system of equations to have a solution.
- Problems 4-6 cover marketing discounts on course enrollments, volume calculations for a pool with dimensions in geometric progression, and nutrient content relationships in fertilizers.
- Later problems analyze triangles, polynomials,
The document contains 20 multiple choice questions about functions. Each question provides context about a function or functions, such as their definitions, graphs, or properties. The questions then ask the examinee to determine properties of the functions or choose the best representation of a function based on the information provided.
The document contains 20 multiple choice questions about mathematics topics such as functions, geometry, trigonometry, and algebra. The questions cover concepts like parabolas, areas, solid geometry, probability, combinatorics, and equations. The document provides a key with the correct answer for each question listed from A to E.
ANÁLISIS SÍSMICO DE LOSA TRIANGULAR DE DOS PISOS.Rosbert Malpaso
ANÁLISIS SÍSMICO DE UNA EDIFICACIÓN DE LOSA TRIANGULAR DE DOS PISOS A NIVEL PREGRADO DESARROLLADO EN LA FACULTAD DE INGENIERÍA CIVIL DE LA UNASAM. (GRADOS DE LIBERTAD, MODOS DE VIBRAR, FRECUENCIAS, DESPLAZAMIENTOS, ETC).
This very short document contains only letters with no other context or information provided. It does not contain enough substantive content to generate an informative summary.
1) The document contains 10 math problems from a Brazilian entrance exam (Fuvest). The problems cover topics like functions, geometry, probability, and word problems.
2) Mafalda is frustrated that she cannot solve one of the math problems. The problem asks her to solve 291.
3) A transportation company received a request to make an additional delivery, which would require deviating from the most direct route. The question calculates the minimum price the company would need to charge for the extra time and fuel required.
This document describes a transportation problem involving distributing scooters from production units (origins) to depots (destinations) at minimum cost. The problem can be formulated as a linear program with constraints to ensure supply equals demand. Several methods are presented to find optimal solutions, including the Northwest Corner Rule, Lowest Cost Entry Method, and Vogel's Approximation Method. An example transportation problem is then given to demonstrate solving it using these techniques.
The document contains 20 multiple choice questions about functions. The questions cover topics such as: graphs of polynomial, quadratic and logarithmic functions; maximums and domains of functions; relationships between input and output values; intersections of graphs; and analyzing real world scenarios involving functional relationships.
This document contains 27 multiple choice questions about calculating areas of geometric shapes such as triangles, rectangles, circles, and composite figures. The questions provide diagrams of the shapes along with measurements and ask the reader to determine the area based on the information given.
This document provides a visual reference for navigation, files, editing, and search commands in the Emacs text editor. It displays keyboard shortcuts for moving between buffers, windows, and lines of text as well as commands for opening, saving, and quitting files, marking text, indentation, undoing edits, and searching or replacing text.
This document contains 26 multiple choice questions about calculating areas of various geometric shapes such as triangles, rectangles, trapezoids, circles, and composite shapes. The questions provide diagrams of the shapes along with measurements and ask the learner to calculate the area based on the given information and select the correct answer.
The document contains 16 multiple choice questions from an exam on various math and physics topics. The questions cover areas like functions, equations, geometry, ratios, and more. They require analyzing graphs, solving equations, making comparisons between values, and selecting the logically correct multiple choice response based on the information given in each question.
The document contains 16 multiple choice questions from an exam (ACAFE 2016). The questions cover topics such as sequences, functions, systems of equations, geometry, probability, and other mathematical concepts.
The document contains 16 multiple choice questions from an exam on various math and geometry topics. The questions cover topics like pyramid construction using blocks, functions, probability, geometry concepts like circles and rotations, and data analysis like median and frequency distributions.
The document contains 20 multiple choice questions about functions. The questions cover topics such as:
- Analyzing graphs of functions and determining function values
- Finding maximums and minimums of functions
- Determining if functions are injective, surjective or inverse functions
- Calculating areas under graphs of functions
1) An assignment is due on Monday including an odds math set and a test is scheduled for Tuesday.
2) Students are reminded to turn in inventory checklist #6.
3) The lesson reviews the formula for finding the area of a parallelogram and properties that opposite angles are congruent and bases and heights are perpendicular. It includes example problems finding perimeter and area and finding missing angle measures.
The document contains multiple word problems involving direct proportionality. It includes examples involving:
- Fuel consumption that is directly proportional to distance traveled in a car.
- Discounted prices that are directly proportional to original prices.
- Conversions between nautical miles and meters that are directly proportional.
- Cost of an interactive game expo admission and games that is directly proportional to number of games played.
The document contains 50 multiple choice questions testing mathematical concepts such as algebra, geometry, statistics, and trigonometry. The questions cover a wide range of topics including: simplifying expressions, solving equations, finding values based on graphs/tables, properties of shapes, percentages, and probability.
This document contains a 16 question math exam covering topics such as functions, trigonometry, geometry, and linear systems. The questions involve solving equations, analyzing graphs, calculating areas and probabilities, and determining properties of functions and geometric shapes. The correct answers are provided at the end.
The document contains 15 multiple choice questions about lines, triangles, and coordinate geometry. The questions involve calculating distances between points and lines, determining equations of lines, finding coordinates of points of intersection, and analyzing properties of geometric figures.
The document provides guidance on identifying and calculating angles between lines and planes in 3-dimensional space. It outlines four key skills: 1) Identifying the angle between a line and plane, 2) Calculating the angle between a line and plane, 3) Identifying the angle between two planes, and 4) Calculating the angle between two planes. Examples are given to demonstrate how to use trigonometric functions like tangent to determine specific angles within diagrams of 3D objects. Activities are also included for students to practice applying the skills, such as identifying angles within diagrams of cuboids.
The document contains 25 multiple choice questions about arithmetic progressions. The questions cover topics such as determining terms in an arithmetic sequence, calculating sums and differences of terms, and identifying patterns in sequences of numbers or geometric shapes that follow an arithmetic progression.
1) The document outlines an assignment and lesson on parallelograms. It includes examples of finding the perimeter, area, and angle measures of various parallelograms.
2) The warm-up questions cover evaluating expressions, calculating sales tax, and converting fractions to decimals and percents.
3) The lesson defines the formula for finding the area of a parallelogram and lists properties of parallelograms including opposite angles being congruent and adjacent angles summing to 180 degrees.
For helpful CXC Maths Multiple Choice Videos please click below
These videos are very helpful
https://oke.io/dUqlSrd
https://oke.io/UWfOCCP
https://oke.io/FrCDQ
The document discusses the letter C and its various uses and representations in different contexts. The letter C has multiple pronunciations and meanings depending on its placement in words. It can indicate sounds such as 's' and 'ch' and have other symbolic meanings too.
1. The histogram shows the distribution of heights of seedlings in a sample. It has frequencies on the y-axis and height ranges from -30 to 60 cm on the x-axis.
2. Most of the seedlings have heights between 10-30 cm as this has the highest frequencies.
3. There are no seedlings with heights below 0 cm or above 50 cm as those parts of the x-axis have a frequency of 0.
The document provides instructions for two contour line practice exercises. For the first exercise, students are asked to draw contour lines at specific elevation levels and calculate the gradient between points A and B. For the second exercise, students are asked to draw contour lines at different specified elevation levels and calculate the gradients between points X and Y and between points X and C. Students are also asked to draw profile views of the cross sections between points indicated on the two practice maps.
This document contains 12 multiple choice questions from the 2010 FUVEST exam. The questions cover topics such as functions, progressions, probability, geometry, trigonometry, and data interpretation. For each question there are 5 possible answer choices labeled a-e. The questions range in difficulty and cover high school level math concepts.
The document contains a 20 question multiple choice exam covering various topics in mathematics and geometry. For each question, there are 5 potential answer choices labeled a-e. The questions cover topics such as functions, complex numbers, limits, integrals, geometry, and probability. At the end, a key is provided indicating the correct answer for each question.
This document contains 13 multiple choice questions from the Fuvest 2021 exam. The questions cover topics such as functions, graphs, probability, geometry, numbers, and word problems. Correct answer options are provided for each question.
This document contains 27 multiple choice questions about calculating areas of geometric shapes such as triangles, rectangles, circles, and composite figures. The questions provide diagrams of the shapes along with measurements and ask the reader to determine the area based on the information given.
This document provides a visual reference for navigation, files, editing, and search commands in the Emacs text editor. It displays keyboard shortcuts for moving between buffers, windows, and lines of text as well as commands for opening, saving, and quitting files, marking text, indentation, undoing edits, and searching or replacing text.
This document contains 26 multiple choice questions about calculating areas of various geometric shapes such as triangles, rectangles, trapezoids, circles, and composite shapes. The questions provide diagrams of the shapes along with measurements and ask the learner to calculate the area based on the given information and select the correct answer.
The document contains 16 multiple choice questions from an exam on various math and physics topics. The questions cover areas like functions, equations, geometry, ratios, and more. They require analyzing graphs, solving equations, making comparisons between values, and selecting the logically correct multiple choice response based on the information given in each question.
The document contains 16 multiple choice questions from an exam (ACAFE 2016). The questions cover topics such as sequences, functions, systems of equations, geometry, probability, and other mathematical concepts.
The document contains 16 multiple choice questions from an exam on various math and geometry topics. The questions cover topics like pyramid construction using blocks, functions, probability, geometry concepts like circles and rotations, and data analysis like median and frequency distributions.
The document contains 20 multiple choice questions about functions. The questions cover topics such as:
- Analyzing graphs of functions and determining function values
- Finding maximums and minimums of functions
- Determining if functions are injective, surjective or inverse functions
- Calculating areas under graphs of functions
1) An assignment is due on Monday including an odds math set and a test is scheduled for Tuesday.
2) Students are reminded to turn in inventory checklist #6.
3) The lesson reviews the formula for finding the area of a parallelogram and properties that opposite angles are congruent and bases and heights are perpendicular. It includes example problems finding perimeter and area and finding missing angle measures.
The document contains multiple word problems involving direct proportionality. It includes examples involving:
- Fuel consumption that is directly proportional to distance traveled in a car.
- Discounted prices that are directly proportional to original prices.
- Conversions between nautical miles and meters that are directly proportional.
- Cost of an interactive game expo admission and games that is directly proportional to number of games played.
The document contains 50 multiple choice questions testing mathematical concepts such as algebra, geometry, statistics, and trigonometry. The questions cover a wide range of topics including: simplifying expressions, solving equations, finding values based on graphs/tables, properties of shapes, percentages, and probability.
This document contains a 16 question math exam covering topics such as functions, trigonometry, geometry, and linear systems. The questions involve solving equations, analyzing graphs, calculating areas and probabilities, and determining properties of functions and geometric shapes. The correct answers are provided at the end.
The document contains 15 multiple choice questions about lines, triangles, and coordinate geometry. The questions involve calculating distances between points and lines, determining equations of lines, finding coordinates of points of intersection, and analyzing properties of geometric figures.
The document provides guidance on identifying and calculating angles between lines and planes in 3-dimensional space. It outlines four key skills: 1) Identifying the angle between a line and plane, 2) Calculating the angle between a line and plane, 3) Identifying the angle between two planes, and 4) Calculating the angle between two planes. Examples are given to demonstrate how to use trigonometric functions like tangent to determine specific angles within diagrams of 3D objects. Activities are also included for students to practice applying the skills, such as identifying angles within diagrams of cuboids.
The document contains 25 multiple choice questions about arithmetic progressions. The questions cover topics such as determining terms in an arithmetic sequence, calculating sums and differences of terms, and identifying patterns in sequences of numbers or geometric shapes that follow an arithmetic progression.
1) The document outlines an assignment and lesson on parallelograms. It includes examples of finding the perimeter, area, and angle measures of various parallelograms.
2) The warm-up questions cover evaluating expressions, calculating sales tax, and converting fractions to decimals and percents.
3) The lesson defines the formula for finding the area of a parallelogram and lists properties of parallelograms including opposite angles being congruent and adjacent angles summing to 180 degrees.
For helpful CXC Maths Multiple Choice Videos please click below
These videos are very helpful
https://oke.io/dUqlSrd
https://oke.io/UWfOCCP
https://oke.io/FrCDQ
The document discusses the letter C and its various uses and representations in different contexts. The letter C has multiple pronunciations and meanings depending on its placement in words. It can indicate sounds such as 's' and 'ch' and have other symbolic meanings too.
1. The histogram shows the distribution of heights of seedlings in a sample. It has frequencies on the y-axis and height ranges from -30 to 60 cm on the x-axis.
2. Most of the seedlings have heights between 10-30 cm as this has the highest frequencies.
3. There are no seedlings with heights below 0 cm or above 50 cm as those parts of the x-axis have a frequency of 0.
The document provides instructions for two contour line practice exercises. For the first exercise, students are asked to draw contour lines at specific elevation levels and calculate the gradient between points A and B. For the second exercise, students are asked to draw contour lines at different specified elevation levels and calculate the gradients between points X and Y and between points X and C. Students are also asked to draw profile views of the cross sections between points indicated on the two practice maps.
This document contains 12 multiple choice questions from the 2010 FUVEST exam. The questions cover topics such as functions, progressions, probability, geometry, trigonometry, and data interpretation. For each question there are 5 possible answer choices labeled a-e. The questions range in difficulty and cover high school level math concepts.
The document contains a 20 question multiple choice exam covering various topics in mathematics and geometry. For each question, there are 5 potential answer choices labeled a-e. The questions cover topics such as functions, complex numbers, limits, integrals, geometry, and probability. At the end, a key is provided indicating the correct answer for each question.
This document contains 13 multiple choice questions from the Fuvest 2021 exam. The questions cover topics such as functions, graphs, probability, geometry, numbers, and word problems. Correct answer options are provided for each question.
This document contains 19 multiple choice questions about functions. The questions cover topics such as function graphs, polynomial functions, logarithmic functions, and inequalities involving functions. For each question there are 5 possible answer choices labeled a-e. The answers given are: 1) B 2) C 3) D 4) D 5) D 6) A 7) C 8) E 9) B 10) C 11) A 12) C 13) B 14) C 15) D 16) D 17) A 18) B 19) C.
The document is a sample question paper for a term 2 exam. It provides instructions and questions in four sections - Section A has 8 multiple choice questions worth 1 mark each, Section B has 6 questions worth 2 marks each, Section C has 10 questions worth 3 marks each, and Section D has 10 questions worth 4 marks each. The paper covers topics in mathematics including geometry, trigonometry, probability, graphs, and algebraic equations. Students are instructed that calculators are not permitted and that some questions offer internal choice between parts.
This document contains 15 multiple choice questions from an IME 2019 exam covering topics in trigonometry, functions, geometry, complex numbers, and algebra. The questions involve concepts like progressions, function definitions, probability, areas of shapes, coordinate transformations, inequalities, and solving equations. The answers to each question are provided in a key at the end.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 12 printed pages and contains 22 multiple choice and written response questions covering topics in algebra, geometry, trigonometry, statistics, and functions. Students have 1 hour and 30 minutes to complete the exam, showing their work, with a non-programmable calculator permitted.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 12 printed pages and contains 22 multiple choice and written response questions covering topics in algebra, geometry, trigonometry, statistics, and functions. Students have 1 hour and 30 minutes to complete the exam, showing their work, with a non-programmable calculator permitted.
This document contains a summary of the GATE 2014 exam for Civil Engineering. It includes:
1) An analysis of the exam showing the percentage of questions from different topics. The highest percentage of questions came from geotechnical engineering (12%) and fluid mechanics (12%).
2) A breakdown of the questions in Set 1 of the exam paper showing the topics covered, number of questions, and total marks for each subject area.
3) The document provides the question paper and answer keys for reference.
1. The document contains 25 multiple choice questions in Section A of a mechanical engineering exam. It tests knowledge of topics including matrices, fluid mechanics, thermodynamics, heat transfer, and more.
2. It also contains 25 additional multiple choice questions testing further mechanical engineering topics. These questions cover areas such as dynamics, differential equations, stress analysis, and aerodynamics.
3. The examinee is asked to answer each question by selecting one or more correct answer choices and writing the corresponding letter(s) in the answer column. This examines their understanding of fundamental mechanical engineering concepts.
The document contains 14 multiple choice questions about basic computer science and math topics such as binary multiplication, regression analysis, data compression standards, and sorting/filtering data in spreadsheets. The questions cover concepts like binary operations, correlation coefficients, regular expressions, sampling audio signals, and path counting in node graphs. Correct answers are provided for self-assessment of understanding key foundational concepts.
A tractor factory established a goal to produce 20,000 tractors by 2025, having produced increasing amounts from 2010 to 2017. Assuming continued growth at the same rate, the goal will be reached and surpassed by 150 tractors. Several word problems are presented involving functions, geometry, trigonometry, and other mathematical concepts. The document provides 20 multiple choice questions with answers for an exam.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 12 printed pages and contains 22 multiple choice and written response questions covering topics in algebra, geometry, trigonometry, statistics, and functions. Students have 1 hour and 30 minutes to complete the exam, showing their work, and are allowed to use calculators and other mathematical tools.
This document contains a test for the Caribbean Examinations Council Secondary Education Certificate examination in Mathematics from January 2010. The test has two sections, with Section I containing 7 compulsory questions and Section II containing 2 questions to choose from. The questions cover topics such as algebra, geometry, trigonometry, vectors and matrices. The test instructions specify the time allowed, materials permitted, and that working must be clearly shown.
This document contains a 14 question multiple choice exam along with its answer key. The exam covers topics such as arithmetic progressions, polynomial functions, probability, geometry of polygons and triangles, matrices, and trigonometry. The answer key indicates that the correct answers are choices C, C, A, A, B, C, B, C, D, C, A, D, B, and B, respectively, for each question.
This document consists of an examination for the International General Certificate of Secondary Education in mathematics. The exam contains 10 questions testing a variety of math skills including algebra, geometry, trigonometry, statistics, and number patterns. It provides worked examples and questions for students to practice and demonstrate their mathematical abilities.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 11 printed pages and 1 blank page. The exam contains 22 multiple choice and written response questions testing a variety of math skills, including: solving equations; calculating values using formulas; finding gradients, areas, and volumes; simplifying expressions; and interpreting graphs. Students are instructed to show their work and communicate answers in specified formats like fractions or to a given degree of accuracy. Calculators are permitted but certain formulas are required to be memorized.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 11 printed pages and 1 blank page. The exam contains 22 multiple choice and written response questions testing a variety of math skills, including: solving equations; calculating values using formulas; finding gradients, areas, and volumes; simplifying expressions; and interpreting graphs. Students are instructed to show their work and communicate answers concisely using appropriate units and significant figures. Calculators are permitted but formulas are not provided.
The document contains 20 multiple choice questions about functions. The questions cover topics such as exponential functions, linear functions, quadratic functions, modular functions, and geometric progressions. They involve calculating function values, analyzing function graphs, finding maximums and minimums, and modeling real-world scenarios mathematically.
The document contains 19 multiple choice questions from an exam called EFOOM 2018. The questions cover a range of topics including calculus, geometry, probability, systems of equations and word problems. For each question there are 5 possible answer choices labeled a-e. The correct answers are provided at the end.
O documento apresenta 17 questões do Exame Nacional do Ensino Médio (ENEM) sobre diversos assuntos como: corrida de regularidade, monitoramento de substâncias no sangue, crescimento populacional de médicos, modelos predador-presa, crescimento exponencial de bactérias, ativação de rádio automotivo por código secreto e frequências de transmissão de aparelhos sem fio. As questões envolvem cálculos, interpretação de gráficos e tabelas e raciocínio sobre probabilidades.
O documento apresenta três questões sobre um teste realizado com um novo modelo de carro. A primeira questão descreve que 50 litros de combustível foram colocados no tanque do carro e ele foi dirigido em uma pista de testes até o combustível acabar. A segunda questão fornece um gráfico que relaciona a quantidade de combustível no tanque com a distância percorrida. A terceira questão pede a expressão algébrica que relaciona essas duas grandezas.
O documento descreve um fabricante que decidiu contratar o plano B de uma empresa de entregas, ao invés do plano A que havia escolhido inicialmente. O plano B tem taxa fixa mensal menor, mas taxa variável maior por quilograma enviado. Com 650kg a serem enviados, o plano B terá custo total menor do que o plano A.
O documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) sobre diversos assuntos como: estatística, física, geometria e probabilidade. As questões envolvem interpretação e análise de gráficos, cálculos, resolução de problemas e relações entre grandezas geométricas.
Este documento apresenta 15 questões sobre diversos assuntos como: salário comissionado, interação predador-presa, doenças relacionadas ao saneamento, depreciação de veículos, probabilidades, geometria espacial e volumes de sólidos geométricos. As questões envolvem interpretação e análise de gráficos, cálculos, raciocínio lógico e resolução de problemas.
O documento apresenta 19 questões do ENEM PPL de 2014 sobre diversos assuntos como física, química e matemática. As questões abordam tópicos como emissão de poluentes em veículos, crescimento bacteriano, probabilidade, geometria espacial e outros.
1) O documento apresenta 15 questões do ENEM PPL de 2013 sobre diversos assuntos como matemática, probabilidade e estatística.
2) As questões envolvem cálculos, interpretação de gráficos e tabelas para analisar problemas relacionados a produção industrial, vendas, financiamentos, jogos de azar e outros.
3) As respostas variam entre letras que indicam o resultado correto de cada questão após realizar os procedimentos matemáticos necessários.
1) O documento apresenta 15 questões do ENEM PPL de 2012 sobre diversos assuntos como probabilidades, estatística, geometria e física.
2) As questões envolvem cálculos e análises de gráficos, tabelas e figuras para responder sobre tópicos como produção de resíduos, vendas de produtos, taxas de abandono escolar, capacidade de lixeiras e propriedades geométricas de figuras.
3) São abordados também conceitos como acomodação ocular, convergência de lentes, á
Este documento contém 18 questões do Exame Nacional do Ensino Médio (ENEM) de 2017 sobre diversos assuntos como geometria, funções, probabilidade e estatística. As questões envolvem cálculos, interpretação de gráficos e tabelas e raciocínio lógico.
O documento relata sobre o Exame Nacional do Ensino Médio (ENEM) de 2009 que foi cancelado e traz 15 questões objetivas sobre diversos assuntos como probabilidade, geometria, estatística e análise combinatória.
O documento apresenta 18 questões do ENEM 2010 sobre diversos assuntos como: planejamento de treinos, estimativa de quantidade de estrelas para um painel, volumes de leite em reservatórios, desperdício de água por torneiras, uso de bicicletas compartilhadas, consumo de sacolas plásticas, escolha de estacionamentos, conta de água, necessidade diária de ferro e zinco por meio de alimentos, escolha de museus a visitar, estatísticas de chutes a gol, probabilidade em teste para detecção de
O documento apresenta 16 questões do Enem 2016 sobre diversos assuntos como matemática, física, probabilidade e estatística. As questões abordam tópicos como cálculo de áreas, sistemas lineares, funções exponenciais e probabilidades.
O documento contém 15 questões do Exame Nacional do Ensino Médio (ENEM) da segunda aplicação de 2014. As questões abordam tópicos como matemática, física, biologia, história e língua portuguesa.
O documento descreve os tipos sanguíneos e os resultados de um teste em 200 pessoas. 100 pessoas tinham o antígeno A, 110 o antígeno B e 20 nenhum. Portanto, o número de pessoas com tipo sanguíneo A é igual a 100.
O documento discute um problema de trânsito no Brasil relacionado ao consumo de bebidas alcoólicas por motoristas. Dados mostram que após mudanças no código de trânsito em 2013, como redução do limite de álcool no sangue e aumento de multas, houve queda no número de acidentes entre 2013 e 2015.
The document provides information about 12 multiple choice questions that appeared on the 2018 Brazilian National High School Exam (ENEM). The questions cover topics such as mathematics, statistics, geometry, probability, and other subjects. Specifically, the document provides the questions, answer options, and sometimes additional context or information needed to solve each question.
O documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) de 2017, cobrindo diversos assuntos como geometria, física, probabilidade e estatística. As questões envolvem interpretação e análise de gráficos, cálculos e resolução de problemas.
O documento descreve um problema de engenharia sobre a construção de uma galeria subterrânea para transporte de água entre uma fonte e um reservatório em uma cidade. Dois projetos são apresentados: um segmento de reta ou uma semicircunferência. Após cálculos, o projeto da semicircunferência levaria menos tempo para ser concluído.
Este documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) de 2015 sobre diversos assuntos como física, matemática, probabilidade e estatística. As questões envolvem cálculos, interpretação de gráficos e tabelas para analisar situações problemas.
[1] Um professor alterou as notas de uma prova usando uma função polinomial para compensar questões difíceis. [2] Uma pessoa recebeu propostas de planos de telefonia e pretende gastar R$30,00. [3] A figura mostra a trajetória de um balanço e a equação que a descreve.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
2. RETA
1
01. (Enem 2018) Uma indústria automobilística está testando um novo modelo de carro. Cinquenta litros de
combustível são colocados no tanque desse carro, que é dirigido em uma pista de testes até que todo o combustível
tenha sido consumido. O segmento de reta no gráfico mostra o resultado desse teste, no qual a quantidade de
combustível no tanque é indicada no eixo y (vertical), e a distância percorrida pelo automóvel é indicada no eixo x
(horizontal).
A expressão algébrica que relaciona a quantidade de combustível no tanque e a distância percorrida pelo automóvel
é
a) y 10x 500
=
− + b)
x
y 50
10
−
= + c)
x
y 500
10
−
= + d)
x
y 50
10
= + e)
x
y 500
10
= +
02. (Enem 2018) Para criar um logotipo, um profissional da área de design gráfico deseja construí-lo utilizando o
conjunto de pontos do plano na forma de um triângulo, exatamente como mostra a imagem.
Para construir tal imagem utilizando uma ferramenta gráfica, ser necessário escrever algebricamente o conjunto que
representa os pontos desse gráfico. Esse conjunto é dado pelos pares ordenados (𝑥𝑥; 𝑦𝑦) ∈ ℕ × ℕ, tais que
a) 0 x y 10
≤ ≤ ≤
b) 0 y x 10
≤ ≤ ≤
c) 0 x 10, 0 y 10
≤ ≤ ≤ ≤
d) 0 x y 10
≤ + ≤
e) 0 x y 20
≤ + ≤
3. RETA
2
03. (Enem 2017) Um sítio foi adquirido por R$ 200.000,00. O proprietário verificou que a valorização do imóvel, após
sua aquisição, cresceu em função do tempo conforme o gráfico, e que sua tendência de valorização se manteve nos
anos seguintes.
O valor desse sítio, no décimo ano após sua compra, em real, será de
a) 190.000.
b) 232.000.
c) 272.000.
d) 400.000.
e) 500.000.
04. (Enem 2016) Para uma feira de ciências, dois projéteis de foguetes, A e B, estão sendo construídos para serem
lançados. O planejamento é que eles sejam lançados juntos, com o objetivo de o projétil B interceptar o A quando
esse alcançar sua altura máxima. Para que isso aconteça, um dos projéteis descreverá uma trajetória parabólica,
enquanto o outro irá descrever uma trajetória supostamente retilínea. O gráfico mostra as alturas alcançadas por
esses projéteis em função do tempo, nas simulações realizadas.
Com base nessas simulações, observou-se que a trajetória do projétil B deveria ser alterada para que o objetivo fosse
alcançado. Para alcançar o objetivo, o coeficiente angular da reta que representa a trajetória de B deverá
a) diminuir em 2 unidades.
b) diminuir em 4 unidades.
c) aumentar em 2 unidades.
d) aumentar em 4 unidades.
e) aumentar em 8 unidades.
4. RETA
3
05. (Enem 2016) Na figura estão representadas, em um plano cartesiano, duas circunferências: 1
C (de raio 3 e centro
1
O ) e 2
C (de raio 1 e centro 2
O ), tangentes entre si, e uma reta t tangente às duas circunferências nos pontos P e
Q.
Nessas condições, a equação da reta t é
a) y 3x 3 3
=
− +
b)
3
y x 3 3
3
=
− +
c) y x 4
=
− +
d)
2
y x 4
3
=
− +
e)
4
y x 4
5
=
− +
06. (Enem 2016) Uma região de uma fábrica deve ser isolada, pois nela os empregados ficam expostos a riscos de
acidentes. Essa região está representada pela porção de cor cinza (quadrilátero de área S) na figura.
Para que os funcionários sejam orientados sobre a localização da área isolada, cartazes informativos serão afixados
por toda a fábrica. Para confeccioná-los, programador utilizará um software que permite desenhar essa região a partir
de um conjunto de desigualdades algébricas. As desigualdades que devem ser utilizadas no referido software, para o
desenho da região de isolamento, são
a) 3y x 0; 2y x 0; y 8; x 9
− ≤ − ≥ ≤ ≤
b) 3y x 0; 2y x 0; y 9; x 8
− ≤ − ≥ ≤ ≤
c) 3y x 0; 2y x 0; y 9; x 8
− ≥ − ≤ ≤ ≤
d) 4y 9x 0; 8y 3x 0; y 8; x 9
− ≤ − ≥ ≤ ≤
e) 4y 9x 0; 8y 3x 0; y 9; x 8
− ≤ − ≥ ≤ ≤
5. RETA
4
07. (Enem 2014) O número de pessoas que morrem nas ruas e estradas brasileiras nunca foi tão alto. As últimas
mudanças na legislação mostraram-se incapazes de frear o aumento dos acidentes. O número de mortes em 2004 foi
de 35.100 pessoas e 38.300, em 2008. Admita que o número de mortes, no período de 2004 a 2008, tenha
apresentado um crescimento anual constante. A expressão algébrica que fornece o número de mortes N, no ano x
(com 2004 x 2008),
≤ ≤ é dada por
a) N 800x 35.100
= −
b) N 800(x 2004) 35.100
= − +
c) N 800(x 2004)
= −
d) N 3.200(x 2004) 35.100
= − +
e) N 3.200x 35.100
= +
08. (Enem 2014) Tanto na natureza, quanto na indústria, existem diversos tipos de fluidos. Fluidos Newtonianos são
aqueles que apresentam crescimento linear da tensão cisalhante com relação ao gradiente de velocidade, com
coeficiente angular não nulo. Apresentam ainda tensão cisalhante nula com gradiente de velocidade zero. A figura
apresenta a relação da tensão cisalhante com o gradiente de velocidade para diversos tipos de fluidos.
Dentre as curvas da figura, determine qual(is) é(são) de fluido(s) Newtoniano(s).
a) A
b) B
c) C
d) D
e) A e C
6. RETA
5
09. (Enem 2013) Nos últimos anos, a televisão tem passado por uma verdadeira revolução, em termos de qualidade
de imagem, som e interatividade com o telespectador. Essa transformação se deve à conversão do sinal analógico
para o sinal digital. Entretanto, muitas cidades ainda não contam com essa nova tecnologia. Buscando levar esses
benefícios a três cidades, uma emissora de televisão pretende construir uma nova torre de transmissão, que envie
sinal às antenas A, B e C, já existentes nessas cidades. As localizações das antenas estão representadas no plano
cartesiano:
A torre deve estar situada em um local equidistante das três antenas. O local adequado para a construção dessa torre
corresponde ao ponto de coordenadas
a) (65 ; 35) b) (53 ; 30) c) (45 ; 35) d) (50 ; 20) e) (50 ; 30)
10. (Enem 2012) O cristalino, que é uma lente do olho humano, tem função de fazer ajuste fino na focalização, ao que
se chame acomodação. À perda da capacidade de acomodação com a idade chamamos presbiopia. A acomodação
pode ser determinada por meio da convergência do cristalino. Sabe-se que a convergência de uma lente, para pequena
distância focal em metros, tem como unidade de medida a diopria (di). A presbiopia, representada por meio da relação
entre convergência máxima max
C (em di) e a idade T (em anos), mostrada na figura seguinte.
Considerando esse gráfico, as grandezas convergência máxima max
C e idade T estão relacionadas algebricamente
pela expressão
a) T
max
C 2−
=
b) 2
max
C T 70T 600
= − +
c) 2
max 2
C log (T 70T 600)
= − +
d) max
C 0,16T 9,6
= +
e) max
C 0,16T 9,6
=
− +
7. RETA
6
11. (Enem 2012) Uma família deseja realizar um jantar comemorativo de um casamento e dispõe para isso de um salão
de festas de um clube, onde a área disponível para acomodação das mesas é de 500 m2
. As 100 mesas existentes no
salão encontram-se normalmente agrupadas duas a duas, comportando 6 cadeiras. A área de cada mesa é de 1 m2
e
o espaço necessário em torno deste agrupamento, para acomodação das cadeiras e para circulação, é de 6 m2
. As
mesas podem ser dispostas de maneira isolada, comportando 4 pessoas cada. Nessa situação, o espaço necessário
para acomodação das cadeiras e para circulação é de 4 m2
. O número de convidados previsto para o evento é de 400
pessoas. Para poder acomodar todos os convidados sentados, com as mesas existentes e dentro da área disponível
para acomodação das mesas e cadeiras, como deverão ser organizadas as mesas?
a) Todas deverão ser separadas.
b) Todas mantidas no agrupamento original de duas mesas.
c) Um terço das mesas separadas e dois terços agrupadas duas a duas.
d) Um quarto das mesas separadas e o restante em agrupamento de duas a duas.
e) Sessenta por cento das mesas separadas e quarenta por cento agrupadas duas a duas.
12. (Enem 2012) Os procedimentos de decolagem e pouso de uma aeronave são os momentos mais críticos de
operação, necessitando de concentração total da tripulação e da torre de controle dos aeroportos. Segundo
levantamento da Boeing, realizado em 2009, grande parte dos acidentes aéreos com vítimas ocorre após iniciar-se a
fase de descida da aeronave. Desta forma, é essencial para os procedimentos adequados de segurança monitorar-se
o tempo de descida da aeronave. A tabela mostra a altitude y de uma aeronave, registrada pela torre de controle, t
minutos após o início dos procedimentos de pouso.
tempo t
(em minutos)
0 5 10 15 20
altitude y
(em metros)
10000 8000 6000 4000 2000
Considere que, durante todo o procedimento de pouso, a relação entre y e t é linear.
De acordo com os dados apresentados, a relação entre y e t é dada por
a) y = – 400t
b) y = – 2000t
c) y = 8000 – 400t
d) y = 10000 – 400t
e) y = 10000 – 2000t
8. RETA
7
13. (Enem 2011) Um programador visual deseja modificar uma imagem, aumentando seu comprimento e mantendo
sua largura. As figuras 1 e 2 representam, respectivamente, a imagem original e a transformada pela duplicação do
comprimento.
Para modelar todas as possibilidades de transformação no comprimento dessa imagem, o programador precisa
descobrir os padrões de todas as retas que contêm os segmentos que contornam os olhos, o nariz e a boca e, em
seguida, elaborar o programa. No exemplo anterior, o segmento 1 1
A B da figura 1, contido na reta 1
r , transformou-se
no segmento 2 2
A B da figura 2, contido na reta 2
r . Suponha que, mantendo constante a largura da imagem, seu
comprimento seja multiplicado por n, sendo n um número inteiro e positivo, e que, dessa forma, a reta 1
r sofra as
mesmas transformações. Nessas condições, o segmento n n
A B estará contido na reta n
r . A equação algébrica que
descreve n
r , no plano cartesiano, é
a) x ny 3n.
+ =
b) x ny n.
− =
−
c) x ny 3n.
− =
d) nx ny 3n.
+ =
e) nx 2ny 6n.
+ =
14. (Enem 2007) Um sítio foi adquirido por R$ 200.000,00. O proprietário verificou que a valorização do imóvel, após
sua aquisição, cresceu em função do tempo conforme o gráfico, e que sua tendência de valorização se manteve nos
anos seguintes.
O valor desse sítio, no sétimo ano após sua compra, em real, será de
a) 280.000.
b) 300.000.
c) 340.000.
d) 400.000.
e) 500.000.
9. RETA
8
GABARITO
1 - B 2 - B 3 - D 4 - C 5 - B
6 - E 7 - B 8 - C 9 - E 10 - E
11 - A 12 - D 13 - A 14 - C