Worksheet: Squares of Numbers

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

Q1:

Evaluate 5 squared.

Q2:

Find the square of 10.

Q3:

Using a calculator, is 11=112?

  • Ayes
  • Bno

Q4:

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

Q5:

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

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.

  • A7, 49
  • B7, 49
  • C2, 128
  • D7, 7

Q7:

Find the integer that, when multiplied by itself, gives a number between 62 and 66.

Q8:

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

  • A14
  • B2
  • C13
  • D17
  • E5

Q9:

Emma has 10 miles of coastline. What is the value of 10?

Q10:

Determine the square of 6.

Q11:

Which of the following is a power whose value is greater than 49?

  • A7
  • B2
  • C6
  • D8
  • E3

Q12:

The second power of any number is called the of the number.

  • Acube
  • Bsquare

Q13:

Given that (𝐴𝐵)=4cm, (𝐵𝐶)=16cm, and 𝐵𝐴𝐶, determine the length of 𝐴𝐶.

Q14:

What is the square of 27?

Q15:

Find the square of 42.2.

Q16:

Which of the following is closest to 7+11?

  • A27+211
  • B49+119
  • C18
  • D14+22
  • E49+11

Q17:

Which of the following is the same as 𝑎?

  • A𝑎×𝑎
  • B2×𝑎
  • C2+𝑎
  • D𝑎+𝑎

Q18:

The given figure shows a pattern with a corresponding value for each of its elements. Determine the value that represents the twenty-sixth element in the pattern.

  • A26
  • B3
  • C26
  • D1
  • E2

Q19:

Which of the following is equal to 3?

  • A32
  • B5
  • C9
  • D6
  • E8

Q20:

Find the value of (4).

Q21:

Which of the following is equal to 5?

  • A10
  • B25
  • C125
  • D25
  • E125

Q22:

Find the value of 5.

Q23:

Which of the following is true?

  • A(3)<9
  • B(3)=9
  • C(3)>9

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