Mathematics Powers and Factors Quiz
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Questions and Answers

What is the prime factorization of 330?

  • 2 × 3 × 11 × 15
  • 3 × 5 × 7 × 11
  • 2 × 3 × 5 × 11 (correct)
  • 2 × 5 × 6 × 11
  • What is the greatest perfect square that is a factor of 686?

  • 81
  • 49 (correct)
  • 36
  • 64
  • What is the GCF of 74 and 30?

  • 1
  • 2 (correct)
  • 15
  • 5
  • What is the LCM of 4 and 6?

    <p>12</p> Signup and view all the answers

    If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?

    <p>300 seconds</p> Signup and view all the answers

    What is the expression for 4 multiplied by itself five times written as a power?

    <p>$4^5$</p> Signup and view all the answers

    How should you evaluate $4^3$?

    <p>$4 × 4 × 4$</p> Signup and view all the answers

    Which of the following powers has a value greater than 60 and less than 65?

    <p>$4^3$</p> Signup and view all the answers

    Is 42 a perfect square?

    <p>No, because it is between the squares of 6 and 7</p> Signup and view all the answers

    What is the total surface area of a cube with a side length of 4 centimeters?

    <p>64 cm²</p> Signup and view all the answers

    How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?

    <p>3375 ft³</p> Signup and view all the answers

    What does the Commutative Property of Multiplication state?

    <p>A × B = B × A</p> Signup and view all the answers

    Which of the following is a correct factor pair of 50?

    <p>(1, 50)</p> Signup and view all the answers

    Study Notes

    Powers and Exponents

    • Express repeated multiplications as powers
    • Calculate the value of powers

    Area and Volume

    • Calculate the area of a square given the side length
    • The area of a square is the side length multiplied by itself
    • Calculate the volume of a cube given the edge length
    • The volume of a cube is the edge length multiplied by itself three times

    Prime Factorization

    • Identify prime factors of a number
    • Find the greatest perfect square that is a factor of a number
    • Prime factorization is writing a number as a product of its prime factors

    Greatest Common Factor and Least Common Multiple

    • Finding the GCF and LCM of numbers
    • The GCF is the largest number that divides into two or more numbers
    • The LCM is the smallest number that is a multiple of two or more numbers

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    6th Grade Chapter Test

    Description

    Test your understanding of powers, prime factorization, and geometric calculations in this comprehensive mathematics quiz. You'll practice expressing repeated multiplications as powers, calculating areas and volumes, and finding greatest common factors and least common multiples. Challenge yourself to master these essential math concepts!

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