Math Practice Online: MathScore.com

Math Practice Online > free > lessons > Arizona > 8th grade > Estimating Square Roots

If your child needs math practice, click here.

These sample problems below for Estimating Square Roots were generated by the MathScore.com engine.

Sample Problems For Estimating Square Roots

Complexity=10

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   34
Lower integer: Higher integer: 2.  
   83
Lower integer: Higher integer:

Complexity=12

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   141
Lower integer: Higher integer: 2.  
   39
Lower integer: Higher integer:

Complexity=15

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   98
Lower integer: Higher integer: 2.  
   12
Lower integer: Higher integer:

Complexity=20

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   298
Lower integer: Higher integer: 2.  
   70
Lower integer: Higher integer:

Answers

Complexity=10

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   34
 Lower integer: Higher integer:
Solution
52 = 25
62 = 36
Since 34 is between these two numbers,
   34
must be between 5 and 6.
To be exact,
   34
= 5.831
#ProblemCorrect AnswerYour Answer
2
   83
 Lower integer: Higher integer:
Solution
92 = 81
102 = 100
Since 83 is between these two numbers,
   83
must be between 9 and 10.
To be exact,
   83
= 9.1104

Complexity=12

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   141
 Lower integer: Higher integer:
Solution
112 = 121
122 = 144
Since 141 is between these two numbers,
   141
must be between 11 and 12.
To be exact,
   141
= 11.8743
#ProblemCorrect AnswerYour Answer
2
   39
 Lower integer: Higher integer:
Solution
62 = 36
72 = 49
Since 39 is between these two numbers,
   39
must be between 6 and 7.
To be exact,
   39
= 6.245

Complexity=15

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   98
 Lower integer: Higher integer:
Solution
92 = 81
102 = 100
Since 98 is between these two numbers,
   98
must be between 9 and 10.
To be exact,
   98
= 9.8995
#ProblemCorrect AnswerYour Answer
2
   12
 Lower integer: Higher integer:
Solution
32 = 9
42 = 16
Since 12 is between these two numbers,
   12
must be between 3 and 4.
To be exact,
   12
= 3.4641

Complexity=20

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   298
 Lower integer: Higher integer:
Solution
172 = 289
182 = 324
Since 298 is between these two numbers,
   298
must be between 17 and 18.
To be exact,
   298
= 17.2627
#ProblemCorrect AnswerYour Answer
2
   70
 Lower integer: Higher integer:
Solution
82 = 64
92 = 81
Since 70 is between these two numbers,
   70
must be between 8 and 9.
To be exact,
   70
= 8.3666

MathScore.com

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.