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Questions and Answers
What is the prime factorization of 330?
What is the greatest perfect square factor of 686?
What is the GCF of 74 and 30?
What is the LCM of 4 and 6?
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If Stoplight A changes color every 25 seconds and Stoplight B changes color every 60 seconds, how frequently do they change color together?
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What is the power representation of the expression $4 imes 4 imes 4 imes 4 imes 4$?
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What is the total surface area of a cube with a side length of 4 centimeters?
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Which power has a value greater than 60 and less than 65?
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Is 42 a perfect square?
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How many cubic feet of water is needed to fill a tank in the shape of a cube with edge lengths of 15 feet?
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The area of a square garden with side lengths of 14 feet is?
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Using the Commutative Property of Multiplication, what is the value of $3 imes 4$?
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Identify the factor pairs of 50.
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Study Notes
Powers and Exponents
- 4 x 4 x 4 x 4 x 4 can be expressed as 45
- 45 is equal to 1024
- 62 is greater than 60 and less than 65
- 42 is not a perfect square because it does not have an integer that can be multiplied by itself to get 42
Area of a Cube
- A cube with sides of 4 cm has a total surface area of 96 cm2
- The total surface area of a cube is calculated by 6 x (side length)2
Area of a Square
- A square with sides of 14 feet has an area of 196 feet2
- The area of a square is calculated by (side length)2
Volume of a Cube
- A cube with edge lengths of 15 feet has a volume of 3,375 cubic feet
- The volume of a cube is calculated by (edge length)3
Factors and Prime Factors
- The factor pairs of 50 are 1 and 50, 2 and 25, 5 and 10
- The prime factorization of 330 is 2 x 3 x 5 x 11
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
- The Greatest Common Factor of 74 and 30 is 2
- The Least Common Multiple of 4 and 6 is 12
- The Least Common Multiple is the smallest number that is a multiple of both numbers.
- The Greatest Common Factor is the largest number that is a factor of both numbers.
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Description
This quiz covers key concepts in mathematics, focusing on powers and exponents, the area and volume of cubes and squares, and the identification of factors and prime factors. Test your understanding of these essential mathematical principles with examples to solidify your knowledge.
