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Estimating Cube Roots

In this worksheet, students estimate cube roots.

'Estimating Cube 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 cubes.


1  2 3 4 5 6 7 8 9 10
1  8 27 64 125 216 343 512 729 1000


From the table we can see that the 3√729 = 9 and 3√1000 = 10.


It also means that we can find an estimate for the cube root of any number between 729 and 1000.


For example, the 3√800 lies between 9 and 10.

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