Squares and Square Roots Quiz

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Questions and Answers

Is 32 a square number?

  • Yes, because it can be expressed as the sum of two equal natural numbers
  • No, because it cannot be expressed as the product of the number with itself (correct)
  • No, because it can be expressed as the sum of two consecutive natural numbers
  • Yes, because it can be expressed as the product of two equal natural numbers

What is a square number?

  • A number that can be expressed as the product of two equal natural numbers
  • A number that can be expressed as the product of the number with itself (correct)
  • A number that can be expressed as the product of two consecutive natural numbers
  • A number that can be expressed as the sum of two equal natural numbers

What is the square of 8?

  • 56
  • 72
  • 64 (correct)
  • 80

Which of the following numbers are square numbers?

<p>25, 36, 49 (C)</p> Signup and view all the answers

Can we enlist the square numbers between 1 and 100 from the given table?

<p>No, some square numbers between 1 and 100 are missing from the table (A)</p> Signup and view all the answers

In the algebraic expression $5xy + 3x$, how is the term $5xy$ formed?

<p>As a product of factors 5, x, and y (D)</p> Signup and view all the answers

What are the prime factors of 30?

<p>2, 3, 5 (B)</p> Signup and view all the answers

What is the prime factor form of 90?

<p>2 × 3 × 3 × 5 (B)</p> Signup and view all the answers

Which of the following numbers are the factors of 30?

<p>1, 2, 3, 5, 6, 10, 15, 30 (B)</p> Signup and view all the answers

What is the prime factor form of 70?

<p>2 × 5 × 7 (C)</p> Signup and view all the answers

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Study Notes

Numbers and Algebra

  • A square number is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are square numbers.
  • The square of 8 is 64.
  • A number is a square number if it can be expressed in the form n^2, where n is an integer.

Factors and Prime Factors

  • The prime factors of 30 are 2, 3, and 5.
  • The prime factor form of 90 is 2 × 3^2 × 5.
  • The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
  • The prime factor form of 70 is 2 × 5 × 7.

Algebra

  • The term $5xy$ in the algebraic expression $5xy + 3x$ is formed by multiplying the coefficient 5 with the variables x and y.

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