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 1 1 = 1 1 2 ?

  • Ano
  • Byes

Q4:

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

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

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.

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

Q7:

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

Q8:

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

Q9:

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

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

Q10:

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

Q11:

Determine the square of 6 .

Q12:

What is the difference between the area of a square of side 2 cm and the area of a square whose sides are 8 cm longer?

  • A 164 cm2
  • B 36 cm2
  • C 1 cm2
  • D 12 cm2
  • E 92 cm2

Q13:

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

  • A 3
  • B 8
  • C 7
  • D 6
  • E 2

Q14:

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

  • Asquare
  • Bcube

Q15:

A square of side length 𝑥 cm has an area of 280 cm2. Which of the following is true about 𝑥 ?

  • AIt is a natural number.
  • BIt is an irrational number.
  • CIt is a negative number.
  • DIt is a rational number.
  • EIt is an integer number.

Q16:

Determine the dimensions of a square-shaped chessboard having an area of 81 square centimeters.

  • A 17 cm by 17 cm
  • B 9 cm by 9 cm
  • C 14 cm by 14 cm
  • D 18 cm by 18 cm
  • E 16 cm by 16 cm

Q17:

Given that the area of each square on the chessboard is 21 cm2, find the length of the chessboard’s side.

  • A 2 1 cm
  • B 8 2 1 cm
  • C 168 cm
  • D 84 cm
  • E 2 4 2 cm

Q18:

Determine the area of the isosceles triangle 𝐴 𝐵 𝐶 , given that 𝐴 𝐵 = 𝐴 𝐶 , 𝐴 𝐷 𝐵 𝐶 , 𝐵 𝐶 = 3 7 2 + 2 cm, and 𝐴 𝐷 = 9 3 1 cm.

Q19:

Noah bought a squared greeting card of area 207.36 square centimeters. Find the dimensions of the greeting card.

  • A 18.4 cm by 18.4 cm
  • B 16.4 cm by 16.4 cm
  • C 28.8 cm by 28.8 cm
  • D 57.6 cm by 57.6 cm
  • E 14.4 cm by 14.4 cm

Q20:

Given that ( 𝐴 𝐵 ) = 4 c m , ( 𝐵 𝐶 ) = 1 6 c m , and 𝐵 𝐴 𝐶 , determine the length of 𝐴 𝐶 .

Q21:

Given that a square tile has an area of 81 square inches, determine the dimensions of the tile.

  • A 13 inches by 13 inches
  • B 18 inches by 18 inches
  • C 15 inches by 15 inches
  • D 9 inches by 9 inches

Q22:

Emma’s bedroom is shaped like a square. Determine the dimensions of her room if the area of its floor is 256 ft2.

  • A 16 ft by 16 ft
  • B 22 ft by 22 ft
  • C 18 ft by 18 ft
  • D 23 ft by 23 ft
  • E 32 ft by 32 ft

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