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Maths Year 9 Powers and Roots
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Estimating Square Roots

In this worksheet, students estimate square roots.

'Estimating Square Roots' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Integer Powers/Real Roots

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

 This table shows the first few whole numbers and their squares.

 

1 2
3
4 5 6 7 8 9 10
 1  4  9 16 25 36 49 64 81 100

 

This means that the √81 = 9 and √100 = 10.

It also means that the square root of any number between 81 and 100 lies between 9 and 10.

 

 

Between which two numbers does the following square root lie?

 

√7

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√5

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√15

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√50

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√40

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√30

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√60

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√90

7 and 8

8 and 9

9 and 10

Between which two numbers does the following square root lie?

 

√62

7 and 8

8 and 9

9 and 10

Between which two numbers does the following square root lie?

 

√66

7 and 8

8 and 9

9 and 10

  • ANSWERS
  • Question 1

Between which two numbers does the following square root lie?

 

√7

CORRECT ANSWER
2 and 3
  • ANSWERS
  • Question 2

Between which two numbers does the following square root lie?

 

√5

CORRECT ANSWER
2 and 3
  • ANSWERS
  • Question 3

Between which two numbers does the following square root lie?

 

√15

CORRECT ANSWER
3 and 4
  • ANSWERS
  • Question 4

Between which two numbers does the following square root lie?

 

√50

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 5

Between which two numbers does the following square root lie?

 

√40

CORRECT ANSWER
6 and 7
  • ANSWERS
  • Question 6

Between which two numbers does the following square root lie?

 

√30

CORRECT ANSWER
5 and 6
  • ANSWERS
  • Question 7

Between which two numbers does the following square root lie?

 

√60

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 8

Between which two numbers does the following square root lie?

 

√90

CORRECT ANSWER
9 and 10
  • ANSWERS
  • Question 9

Between which two numbers does the following square root lie?

 

√62

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 10

Between which two numbers does the following square root lie?

 

√66

CORRECT ANSWER
8 and 9
---- OR ----

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