Mathematics Mastermind Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Arithmetic, calculus, topology, and algebra
  • Number theory, algebra, geometry, and analysis (correct)
  • Calculus, trigonometry, statistics, and probability
  • Logic, differential equations, combinatorics, and cryptography

    • What does most mathematical activity involve?

  • Application of statistical methods to real-world problems
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Memorization of formulas and algorithms
  • Experimental testing and observation

    • What do proofs in mathematics consist of?

  • An iterative process of trial and error
  • A collection of opinions and conjectures
  • A succession of applications of deductive rules to already established results (correct)
  • A series of experimental trials and observations

    • What are the objects of mathematical study in modern mathematics?

    <p>Abstractions from nature and entities stipulated to have certain properties</p> Signup and view all the answers

    What is the role of axioms in modern mathematics?

    <p>Entities stipulated to have certain properties</p> Signup and view all the answers

    What is the sum of the interior angles of a simple (and planar) quadrilateral ABCD?

    <p>$360^{ ext{o}}$</p> Signup and view all the answers

    What is a quadrilateral with vertices A, B, C, and D sometimes denoted as?

    <p>$\square ABCD$</p> Signup and view all the answers

    What does the word 'quadrilateral' derive from?

    <p>Latin and Greek words for 'four' and 'side'</p> Signup and view all the answers

    What are the two types of simple quadrilaterals?

    <p>Convex and concave</p> Signup and view all the answers

    What is the special case related to the sum of interior angles of a simple (and planar) quadrilateral?

    <p>The sum is $360^{ ext{o}}$</p> Signup and view all the answers

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