Estimate the Cube Roots of Numbers

In this worksheet, students will estimate cube roots.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Popular topics:   Estimation worksheets

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√1,000 = 10.

It also means that we can find an estimate for the cube root of any number between 729 and 1,000.

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

In this activity, we're going to be using known cube roots to estimate the cube roots of more tricky numbers.

Good luck!

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