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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:  

Worksheet Overview

 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


From the table we can see that the √81 = 9 and √100 = 10.


It also means that we can find an estimate for the cube root of any number between 81 and 100.


For example, the √89 lies between 9 and 10.



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