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Worksheet: Estimating Square Roots Using a Number Line

Q1:

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

  • Ac
  • Ba
  • Cd
  • Db

Q2:

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

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

Q3:

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

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

Q4:

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

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

Q5:

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

  • A b
  • B a
  • C d
  • D c

Q6:

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

  • Aequal to
  • Bless than
  • Cgreater than

Q7:

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

  • Aequal to
  • Bless than
  • Cgreater than

Q8:

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

  • Aequal to
  • Bless than
  • Cgreater than

Q9:

Which of the following statements is true?

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

Q10:

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

  • Ab
  • B a

Q11:

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

  • Aa
  • Bb

Q12:

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

  • A b
  • B a
  • C c
  • D d

Q13:

Find the two consecutive integers that 5 5 lies between.

  • A8, 9
  • B6, 7
  • C54, 56
  • D7, 8

Q14:

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

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

Q15:

Find the two consecutive integers that 6 6 lies between.

  • A9, 10
  • B7, 8
  • C65, 67
  • D8, 9

Q16:

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

  • A 𝑐
  • B 𝑏
  • C 𝑑
  • D 𝑎