Mathematics: Squares and Cubes (1-20, 1-10)

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Questions and Answers

What is the square of 12?

  • 144 (correct)
  • 100
  • 121
  • 169

What is the square root of 256?

  • 15
  • 14
  • 16 (correct)
  • 17

Using prime factorization, what is the square root of 36?

  • 4
  • 8
  • 5
  • 6 (correct)

What is the cube of 5?

<p>125 (C)</p> Signup and view all the answers

What is the cubic root of 729?

<p>9 (C)</p> Signup and view all the answers

What is the square of the highest whole number between 1 and 20?

<p>400 (C)</p> Signup and view all the answers

Which of the following is a whole square number between 1 and 400?

<p>225 (D)</p> Signup and view all the answers

When using prime factorization, what is the square root of 144?

<p>12 (D)</p> Signup and view all the answers

Which whole number cube results in a volume closest to 500?

<p>7 (A)</p> Signup and view all the answers

What is the cubic root of the smallest whole cube number greater than 1000?

<p>11 (B)</p> Signup and view all the answers

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Flashcards

Square of a whole number

The result of multiplying a whole number by itself.

Finding the square root (√) of a whole number

Finding the number that, when multiplied by itself, equals the given number.

Finding square root using prime factors

Finding the prime factors of a number and then grouping them into pairs. The square root is the product of one factor from each pair.

Cube of a whole number

The result of multiplying a whole number by itself three times.

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Finding the cube root of a whole number

Finding the number that, when multiplied by itself three times, equals the given number.

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Square root of a whole square number

Finding the number that, when multiplied by itself, equals the given whole square number (e.g., √9 = 3 because 3 x 3 = 9).

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Cube root of a whole cube number

Finding the number that, when multiplied by itself three times, equals the given whole cube number (e.g., ³√27 = 3 because 3 x 3 x 3 = 27).

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Study Notes

Squares of Whole Numbers (1-20)

  • Calculate the square of whole numbers from 1 to 20.
  • This involves finding each integer's squared value.

Square Roots by Inspection (1-400)

  • Identify the square root of perfect squares between 1 and 400 by inspection.
  • Recognize the direct relationship between the perfect square and its square root.

Square Roots using Prime Factors (1-400)

  • Determine the square root of perfect squares between 1 and 400 using prime factorization.
  • Find the prime factors of the number and group them to determine the square root.

Cubes of Whole Numbers (1-10)

  • Calculate the cube of whole numbers from 1 to 10.
  • Find the third power of each integer from 1 to 10.

Cubic Roots (1-1000)

  • Determine the cubic root for whole cubes between 1 and 1000.
  • Identify the number that, when cubed, produces each perfect cube within this range.

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