Mathematics in the Modern World Midterm Exam
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Questions and Answers

What does GSU aim to achieve by the year 2040?

  • To produce the highest number of graduates in various fields
  • To become a leading institution in technology and innovation
  • To expand its campus internationally
  • To excel in holistic development and community transformation (correct)
  • Which of the following best describes GSU's commitment to its graduates?

  • To focus solely on higher education without technological integration
  • To provide quality training in sustainable programs (correct)
  • To eliminate programs in liberal arts and sciences
  • To ensure all graduates are involved in community service
  • If Fib(1) = 1 and Fib(3) = 2, what is Fib(4) + Fib(6)?

  • 12
  • 8
  • 5 (correct)
  • 13
  • What is the value of Fib(27)?

    <p>196,418</p> Signup and view all the answers

    What is the result of (Fib(33) - Fib(25)) + Fib(10)?

    <p>4,409,610</p> Signup and view all the answers

    Which statement is correct about the growth rate of the population in the Philippines?

    <p>The projected population in 1995 was 11,768,300.</p> Signup and view all the answers

    What is the mathematical expression for 'seven more than twice a number n'?

    <p>2n + 7</p> Signup and view all the answers

    What value of X will make the inequality 4x < 5 a false statement?

    <p>2</p> Signup and view all the answers

    Which expression correctly represents that twice the value of x is greater than 5 and less than Y?

    <p>$2x &gt; 5 ext{ and } 2x &lt; Y$</p> Signup and view all the answers

    What is the value of X that makes the inequality $5x - 2 > 12$ true?

    <p>3</p> Signup and view all the answers

    Evaluate the expression $2^{3} + 4 + 6(2^{2^{-1}}) ÷ 2(3^{2^{-6}}) - 4$. What is the result?

    <p>10</p> Signup and view all the answers

    Which of the following sets does not represent a function?

    Signup and view all the answers

    How many apples will Ben have left after giving 12 apples to his sister and 5 apples to his younger brother?

    <p>26 apples</p> Signup and view all the answers

    If a certain machine can produce 50 nuts in two hours, how many nuts can it produce in half an hour?

    <p>25 nuts</p> Signup and view all the answers

    How much will Lina save in two months if she saves P2.50 every school day, with 22 class days in a month?

    <p>P220.00</p> Signup and view all the answers

    If Fred needs 22 m of rope and the cost of rope is P7.75 per meter, what is the total cost of the rope?

    <p>P175.00</p> Signup and view all the answers

    Which of the following does NOT describe the characteristics of the median?

    <p>The median is always the highest value</p> Signup and view all the answers

    What is the mode of the following number set: 1657, 1705, 1646, 1705, 1800, 1756, 1724, 1756, 1769, and 1705?

    <p>1756 &amp; 1705</p> Signup and view all the answers

    What is the median of the following set: 1657, 1705, 1646, 1705, 1800, 1756, 1724, 1756, 1769, and 1705?

    <p>1724</p> Signup and view all the answers

    What is the mean of the following set of numbers: 1657, 1705, 1646, 1705, 1800, 1756, 1724, 1756, 1769, and 1705?

    <p>1723.5</p> Signup and view all the answers

    Which of the following represents a valid function from the given ordered pairs {(1,B), (2, N), (3, M), (4, a), (5, s)}?

    <p>{(1, B), (2, N), (3, M), (4, a), (5, s)}</p> Signup and view all the answers

    What is the decimal value of the binary number 1010?

    <p>10</p> Signup and view all the answers

    What is the result of the operation $11011 imes 101$ in binary?

    <p>1111101</p> Signup and view all the answers

    Which of the following statements about functions is always true?

    <p>A function associates each input with exactly one output.</p> Signup and view all the answers

    If a student thinks of a number, multiplies it by 5 and adds 27 to get 72, what strategy could they use to solve this problem?

    <p>Work backwards</p> Signup and view all the answers

    How many house numbers are there from 1 to 100?

    <p>100</p> Signup and view all the answers

    What is the value of the expression $0.1 + 1.1 + 1.001 + 11.01$?

    <p>13.111</p> Signup and view all the answers

    Given the sets A={0, 1, 2, 3, 4, 5, 6}, B={1, 2, 3, 4, 5, 6}, what is the size of set C if C = {7, 8, 9, 10}?

    <p>3</p> Signup and view all the answers

    Study Notes

    General Information

    • Exam title: GE 04 - Mathematics in the Modern World Midterm Examination
    • Semester: 1st Semester A.Y. 2023-2024
    • Prepared by: Instr. Ryan Christian G. Diokno

    Key Examination Structure

    • Multiple choice format requiring students to select the correct answer or indicate 'N' if none of the options are suitable.
    • Students can use calculators.

    Content Overview

    • Questions cover university mission and vision, emphasizing the commitment to produce competitive and technologically equipped graduates.
    • Fibonacci sequence questions require calculations based on provided values.
    • Understanding of patterns in nature, mathematical sentences, and solutions to equations is assessed.
    • Evaluation of basic arithmetic operations, conversions, and problem-solving strategies are included.
    • Sets, functions, and relations form an important part of the examination content.

    Specific Topics

    • University Vision and Mission

      • Vision: GSU aims to be premier in education and community transformation by 2040.
      • Mission: GSU produces quality graduates in various fields, including sustainable agriculture and healthcare.
    • Fibonacci Sequence

      • Understanding basic terms of Fibonacci sequence.
      • Questions revolve around calculating specific Fibonacci numbers and their ratios.
    • Population Growth

      • Exponential growth model used for calculating projected population.
    • Inequalities

      • Knowledge of how to express inequalities in mathematical notation.
      • Evaluate inequalities to find specific values of variables that hold true.
    • Functions and Relations

      • Distinction between functions and relations, focusing on characteristics that define functions.
      • Includes a problem set involving ordered pairs and their corresponding domains.
    • Arithmetic Operations

      • Basic addition and multiplication with binary and decimal numbers.
      • Problems that involve simple calculations to deduce results.
    • Statistics

      • Explanation of measures like median, mean, and mode from a given data set.
      • Understanding frequency distribution and quartiles in data sets.
    • Mathematical Strategy

      • Problem-solving strategies include making lists, working backward, and using diagrams.
      • Practical applications of mathematical reasoning in scenarios like budgeting and savings.

    Problem-Solving Techniques

    • Interpretation of word problems to create equations or expressions that can be solved.
    • Strategies to visualize problems, such as drawing diagrams for clarity.

    Key Calculations

    • Conversions of binary to decimal.
    • Operations involving addition of decimal numbers with various precision levels.
    • Calculation of averages and understanding the significance of statistical measures.

    This examination encompasses a wide range of topics designed to assess students' understanding of mathematics and its practical applications in various contexts.

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    Quiz Team

    Description

    Test your knowledge with this midterm examination for the Mathematics in the Modern World course for the 1st semester of A.Y. 2023-2024. This quiz includes multiple-choice questions designed to assess your understanding of key concepts. Prepare to demonstrate your mathematical skills and comprehension.

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