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Worksheet: Finding the Squares of Numbers

In this worksheet, we will practice determining the square of an integer and using this to represent areas of squares.

Q1:

What is the difference between the area of a square of side 2 cm and the area of a square whose sides are 4 cm longer?

  • A 52 cm2
  • B 2 cm2
  • C 32 cm2
  • D 20 cm2
  • E 9 cm2

Q2:

What is the difference between the area of a square of side 15 cm and the area of a square whose sides are 12 cm longer?

  • A 873 cm2
  • B 5 cm2
  • C 717 cm2
  • D 585 cm2
  • E 60 cm2

Q3:

Find the area of a square whose side length is 7 cm.

  • A 98 cm2
  • B 28 cm2
  • C 14 cm2
  • D 49 cm2
  • E 4 9 2 cm2

Q4:

Which of the following is a power whose value is greater than 196?

  • A 1 3 2
  • B 1 4 2
  • C 2 6
  • D 1 7 2
  • E 5 3

Q5:

Which of the following is a power whose value is greater than 64?

  • A 7 2
  • B 8 2
  • C 2 5
  • D 1 1 2
  • E 3 3

Q6:

A sheet of labels has 7 rows of labels with 7 labels in each row. Write the exponent that represents the number of labels, and then determine its value.

  • A 2 7 , 128
  • B 7 7 , 49
  • C 7 1 , 7
  • D 7 2 , 49

Q7:

Using a calculator, is 1 8 = 1 8 2 2 ?

  • Ano
  • Byes

Q8:

Isabella has 1 0 2 miles of coastline. What is the value of 1 0 2 ?

Q9:

Evaluate 5 squared.

Q10:

Write a positive integer whose square is between 120 and 130.

Q11:

Write a positive integer whose square is between 70 and 90.

Q12:

Determine the square of − 6 .

Q13:

Find the square of 15.

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