# Worksheet: Estimating Square Roots Using a Number Line

Q1:

Identify which of the arrows represents the position of .

• Ac
• Ba
• Cd
• Db

Q2:

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

• A
• B 6.4
• C
• D
• E

Q3:

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

• A
• B 2.6
• C
• D
• E

Q4:

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

• A
• B 6.2
• C
• D
• E

Q5:

Identify which of the arrows represents the position of .

• A b
• B a
• C d
• D c

Q6:

Is greater than, equal to, or less than ?

• Aequal to
• Bless than
• Cgreater than

Q7:

Is greater than, equal to, or less than ?

• Aequal to
• Bless than
• Cgreater than

Q8:

Is greater than, equal to, or less than ?

• Aequal to
• Bless than
• Cgreater than

Q9:

Which of the following statements is true?

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

Q10:

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

• Ab
• B a

Q11:

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

• Aa
• Bb

Q12:

Identify which of the arrows represents the position of .

• A b
• B a
• C c
• D d

Q13:

Find the two consecutive integers that lies between.

• A8, 9
• B6, 7
• C54, 56
• D7, 8

Q14:

Find the two consecutive integers that lies between.

• A12, 13
• B10, 11
• C127, 129
• D11, 12

Q15:

Find the two consecutive integers that lies between.

• A9, 10
• B7, 8
• C65, 67
• D8, 9

Q16:

Identify which of the arrows represents the position of .

• A
• B
• C
• D