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 (D)</p> Signup and view all the answers

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

<p>4,409,610 (A)</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. (A)</p> Signup and view all the answers

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

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

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

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

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

<p>3 (B)</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 (D)</p> Signup and view all the answers

Which of the following sets does not represent a function?

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

<p>26 apples (C)</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 (A)</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 (B)</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 (B)</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 (B)</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 (C)</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 (C)</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 (B)</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)} (C)</p> Signup and view all the answers

What is the decimal value of the binary number 1010?

<p>10 (C)</p> Signup and view all the answers

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

<p>1111101 (D)</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. (D)</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 (C)</p> Signup and view all the answers

How many house numbers are there from 1 to 100?

<p>100 (C)</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 (D)</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 (C)</p> Signup and view all the answers

Flashcards

Fibonacci Sequence

A sequence where each number is the sum of the two preceding ones, usually starting with 0 and 1.

Fibonacci number calculation

Finding a specific number in the Fibonacci sequence given its position.

Population Growth

The increase in population over time, often modeled by exponential functions.

Exponential Growth Model

A mathematical model describing how a quantity increases over time at an exponential rate.

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Inequality

A mathematical statement comparing two expressions using inequality symbols (>, <, ≥, ≤).

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Evaluating Inequalities

Finding the values of variables that satisfy an inequality.

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Function

A relationship where each input has one and only one output.

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Relation

A set of ordered pairs, where inputs are linked to possible outputs.

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Ordered Pairs

Pairs of values (x, y) used in functions and relations, showing a relationship between the inputs and outputs.

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Domain

All possible input values (x) for a function or relation.

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Binary Numbers

Number system using only two digits: 0 and 1.

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Decimal Numbers

Number system using 0-9.

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Arithmetic Operations

Basic calculations like addition, subtraction, multiplication, and division.

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Mean

The average of a set of numbers.

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Median

The middle value in an ordered set of numbers.

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Mode

The most frequent value in a dataset.

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Frequency Distribution

A table showing how often each value appears in a dataset.

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Quartiles

Values that divide the dataset into four equal parts.

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Mathematical Strategy

Methods or approaches for solving mathematical problems.

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Problem Solving Techniques

Specific methods, like diagrams, working backward, to solve word problems.

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Word Problem Interpretation

Converting a word problem into a mathematical equation.

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Visualization

Using diagrams or images to understand a problem better.

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University Mission

The core purpose of a university.

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University Vision

The desired future state of a university.

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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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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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