# Estimate Square and Cube Roots

In this worksheet, students will estimate square roots and 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 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.

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

This means that the 3√729 = 9 and 3√1000 = 10.

It also means that the cube root of any number between 729 and 1000 lies between 9 and 10.

Let's have a go at some questions.

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