Squares from 1 to 30
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Questions and Answers

What is the square of 23?

  • 509
  • 569
  • 549
  • 529 (correct)
  • Which number, when squared, results in 484?

  • 24
  • 21
  • 22 (correct)
  • 23
  • What is the difference between the square of 15 and the square of 14?

  • 29 (correct)
  • 33
  • 27
  • 31
  • What is the square root of 676?

    <p>26 (D)</p> Signup and view all the answers

    Which of the following numbers is NOT a perfect square?

    <p>401 (D)</p> Signup and view all the answers

    Find the square of 28.

    <p>784 (A)</p> Signup and view all the answers

    Which number, when squared, equals 324?

    <p>18 (C)</p> Signup and view all the answers

    Study Notes

    Squares from 1 to 30

    • The square of a number is the product of the number multiplied by itself.
    • For example, 5 squared (written as 5²) is 5 x 5 = 25.
    • This concept is fundamental in mathematics, particularly in algebra and geometry.
    • The list below shows the squares of numbers from 1 to 30:
      • 1² = 1
      • 2² = 4
      • 3² = 9
      • 4² = 16
      • 5² = 25
      • 6² = 36
      • 7² = 49
      • 8² = 64
      • 9² = 81
      • 10² = 100
      • 11² = 121
      • 12² = 144
      • 13² = 169
      • 14² = 196
      • 15² = 225
      • 16² = 256
      • 17² = 289
      • 18² = 324
      • 19² = 361
      • 20² = 400
      • 21² = 441
      • 22² = 484
      • 23² = 529
      • 24² = 576
      • 25² = 625
      • 26² = 676
      • 27² = 729
      • 28² = 784
      • 29² = 841
      • 30² = 900

    Properties of Squares

    • All perfect squares are non-negative numbers.
    • The square of an even number is always an even number.
    • The square of an odd number is always an odd number.
    • The square of a negative number is always a positive number.
    • The difference between consecutive perfect squares increases by consecutive odd numbers.
    • For example, 2² - 1² = 3, 3² - 2² = 5, 4² - 3² = 7.

    Practical Applications of Squares

    • Calculating areas of squares and other geometric shapes.
    • Solving algebraic equations.
    • In physics, squares are used in equations relating to motion, energy, and other physical concepts.
    • In statistics, squares are crucial to calculating variance and other measures of spread.

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    Description

    This quiz covers the concept of perfect squares from 1 to 30. It highlights the properties of squares and provides examples. Understanding these fundamentals is key for students in mathematics, especially in algebra and geometry.

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