 # Estimating Square Roots

In this worksheet, students estimate square roots. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:   ### 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

• Question 1

Between which two numbers does the following square root lie?

√7

2 and 3
• Question 2

Between which two numbers does the following square root lie?

√5

2 and 3
• Question 3

Between which two numbers does the following square root lie?

√15

3 and 4
• Question 4

Between which two numbers does the following square root lie?

√50

7 and 8
• Question 5

Between which two numbers does the following square root lie?

√40

6 and 7
• Question 6

Between which two numbers does the following square root lie?

√30

5 and 6
• Question 7

Between which two numbers does the following square root lie?

√60

7 and 8
• Question 8

Between which two numbers does the following square root lie?

√90

9 and 10
• Question 9

Between which two numbers does the following square root lie?

√62

7 and 8
• Question 10

Between which two numbers does the following square root lie?

√66

8 and 9
---- OR ----

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