Worksheet: Estimating Square Roots Using a Number Line

In this worksheet, we will practice estimating the square root value of a nonperfect square number.

Q1:

Identify which of the arrows represents the position of 3 0 .

  • Ac
  • Bd
  • Ca
  • Db

Q2:

Which of the following is an irrational number that lies between 2 and 3?

  • A 5 2
  • B 1 0
  • C 3
  • D 7
  • E 2.6

Q3:

Identify which of the arrows represents the position of 9 0 .

  • A b
  • B d
  • C c
  • D a

Q4:

Identify which of the arrows represents the position of 5 1 .

  • A d
  • B b
  • C a
  • D c

Q5:

Identify which arrow represents the position of 1 7 on the number line.

  • Ab
  • Ba

Q6:

Identify which arrow represents the position of 2 4 on the number line.

  • Ab
  • B a

Q7:

Find the two consecutive integers that 5 5 lies between.

  • A8, 9
  • B7, 8
  • C6, 7
  • D54, 56

Q8:

Which of the following statements is true?

  • A If you evaluate 1 7 , the answer is between 4.5 and 5.
  • B If you evaluate 1 7 , the answer is between 5 and 5.5.
  • C If you evaluate 1 7 , the answer is between 4 and 4.5.
  • D If you evaluate 1 7 , the answer is between 3.5 and 4.
  • E If you evaluate 1 7 , the answer is between 3 and 3.5.

Q9:

Is 8 + 3 2 greater than, equal to, or less than 4 0 ?

  • Aequal to
  • Bgreater than
  • Cless than

Q10:

Identify which of the arrows represents the position of 1 3 .

  • A 𝑎
  • B 𝑑
  • C 𝑏
  • D 𝑐

Q11:

Which of the following is an irrational number that lies between 6 and 7?

  • A 4 5
  • B 6 1
  • C 6.4
  • D 3 6
  • E 1 3 2

Q12:

Which of the following is an irrational number that lies between 6 and 7?

  • A 4 4
  • B 6.2
  • C 6 1
  • D 3 6
  • E 1 3 2

Q13:

Is 1 1 + 9 1 greater than, equal to, or less than 1 0 2 ?

  • Aequal to
  • Bgreater than
  • Cless than

Q14:

Is 5 + 6 2 greater than, equal to, or less than 6 7 ?

  • Aequal to
  • Bless than
  • Cgreater than

Q15:

Find the two consecutive integers that 1 2 8 lies between.

  • A11, 12
  • B127, 129
  • C12, 13
  • D10, 11

Q16:

Find the two consecutive integers that 6 6 lies between.

  • A7, 8
  • B9, 10
  • C65, 67
  • D8, 9

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