Math Quiz: Sets And The History Of The Numerical System

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Math Quiz: Sets And The History Of The Numerical System - Quiz

The numerical system has been used for ages since I started in the Sumerian civilization and is the centerpiece of mathematics. The following quiz is about sets and the history of our numeration system. Take it up and get to see just how much you know about this system from your math history lesson. All the best!


Questions and Answers
  • 1. 

    The numeration system we use today is from_____ and ______ systems.

    • A.

      China and Japan

    • B.

      Egypt and Africia

    • C.

      Hindu and Arabic

    Correct Answer
    C. Hindu and Arabic
    Explanation
    The correct answer is Hindu and Arabic. The numeration system we use today, known as the Hindu-Arabic numeral system, was developed by mathematicians in ancient India (Hindu) and later adopted and popularized by Arab scholars (Arabic). This system uses ten digits (0-9) and a place value system, which allows for efficient representation of numbers of any magnitude. It is widely used around the world today.

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  • 2. 

    The seven basic symbols used by the Romans are ________ .

    • A.

      I, II, IV, X, VI, XI, III.

    • B.

      I, V, X, L, C, D, M.

    • C.

      A, O, III, X, IV, VI, I.

    Correct Answer
    B. I, V, X, L, C, D, M.
    Explanation
    The correct answer is I, V, X, L, C, D, M. These symbols represent the numbers 1, 5, 10, 50, 100, 500, and 1000 in Roman numerals. Roman numerals were used by the ancient Romans for counting and recording numbers. Each symbol represents a different value, and by combining them, different numbers can be represented. These symbols are still used today in some contexts, such as on clock faces and in the titles of movies or sporting events.

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  • 3. 

    Our number system is called the ______ system.

    • A.

      Positional

    • B.

      Decimal

    • C.

      Numerical

    Correct Answer
    B. Decimal
    Explanation
    Our number system is called the decimal system because it is based on the number 10. In the decimal system, we use 10 digits (0-9) to represent all numbers. Each digit's value is determined by its position in the number. For example, in the number 123, the digit 1 represents 100, the digit 2 represents 20, and the digit 3 represents 3. This positional system allows us to easily perform arithmetic operations and represent numbers of any magnitude.

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  • 4. 

    A collection of objects called elements are ________.

    • A.

      Sets

    • B.

      Equal

    • C.

      Union

    Correct Answer
    A. Sets
    Explanation
    A collection of objects called elements are sets. Sets are a fundamental concept in mathematics and are used to group together related objects or elements. They can be defined by listing their elements or by describing the properties that the elements must satisfy. Sets are often used in various branches of mathematics, such as set theory, algebra, and probability theory, to study relationships and patterns among objects.

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  • 5. 

    Circles rectangles and other shapes used to illustrate sets are called ________.

    • A.

      Infinite

    • B.

      Universal set

    • C.

      Venn Diagram

    Correct Answer
    C. Venn Diagram
    Explanation
    Venn diagrams are used to illustrate sets, including circles, rectangles, and other shapes. They visually represent the relationships between different sets and their intersections. Venn diagrams are a powerful tool in mathematics and logic, allowing for a clear and concise representation of complex sets and their elements.

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  • 6. 

    When it is possible to match each element in one set to exactly one element in the other it is called a ___________.

    • A.

      Disjoint Sets

    • B.

      One-to one correspondence

    • C.

      Finite

    Correct Answer
    B. One-to one correspondence
    Explanation
    One-to-one correspondence refers to a situation where each element in one set can be paired with exactly one element in the other set. This means that there are no elements left unmatched in either set. It ensures that every element has a unique partner, creating a direct and specific relationship between the two sets.

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  • 7. 

    Sets with nothing in common are called_________.

    • A.

      Finite

    • B.

      Universal set

    • C.

      Disjoint Sets

    Correct Answer
    C. Disjoint Sets
    Explanation
    Disjoint sets refer to sets that have no elements in common. In other words, there is no overlap or intersection between the elements of the sets. This term is used to describe sets that do not share any elements with each other. Therefore, "Disjoint Sets" is the correct answer to the question.

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  • 8. 

    The set that contains all the elements being considered in a situation is called _________.

    • A.

      Venn diagram

    • B.

      Union

    • C.

      Universal set

    Correct Answer
    C. Universal set
    Explanation
    The universal set refers to the set that contains all the elements being considered in a situation. It is a concept used in set theory to define the scope or universe of discourse for a particular problem or situation. In other words, it represents the collection of all possible elements that can be included in a set. The universal set is often denoted by the symbol "U" and is used in conjunction with other set operations such as intersection, union, and complement.

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  • 9. 

    A set that is empty or one that has a definite end is called a _______.

    • A.

      Infinite

    • B.

      Equal

    • C.

      Finite

    Correct Answer
    C. Finite
    Explanation
    A set that is empty or one that has a definite end is called a finite set. A finite set is a set that contains a specific number of elements, which can be counted and identified. In contrast, an infinite set is a set that has an uncountable number of elements and continues indefinitely. Therefore, the correct answer is finite.

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  • 10. 

    Sets that have the same elements or is a subset of the other is called ________.

    • A.

      Equal

    • B.

      Union

    • C.

      Disjoint set

    Correct Answer
    A. Equal
    Explanation
    Sets that have the same elements or is a subset of the other is called equal. This means that all the elements in one set are also present in the other set, and vice versa. The sets can have additional elements, but as long as they have the same elements or one set is a subset of the other, they are considered equal.

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