The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Estimate the Square Roots of Numbers

In this worksheet, students state two numbers between which the given square roots lie.

'Estimate the Square Roots of Numbers' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Understand Order for All Numbers

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

In this worksheet, you have to give two whole numbers between which the given square roots lie.


It is possible to estimate the square root of a number by finding a square number either side of it. You must know your square numbers up to 144, or more if you are interested.


Example

√92 lies between √81 (9) and √100 (10), but note that 92 is nearer to 100.

We can estimate √92 as approximately 9.6 but we know for sure that it lies between 9 and 10.

Estimate the square root of the following number:

√55 lies between _______ & _______

Estimate the square root of the following number:

√37 lies between _______ & _______

Estimate the square root of the following number:

√61 lies between _______ & _______

Estimate the square root of the following number:

√113 lies between _______ & _______

Estimate the square root of the following number:

√62 lies between _______ & _______

Estimate the square root of the following number:

√90 lies between _______ & _______

Estimate the square root of the following number:

√43 lies between _______ & _______

Estimate the square root of the following number:

√26 lies between _______ & _______

Estimate the square root of the following number:

√74 lies between _______ & _______

Estimate the square root of the following number:

√117 lies between _______ & _______

  • Question 1

Estimate the square root of the following number:

√55 lies between _______ & _______

CORRECT ANSWER
7
8
  • Question 2

Estimate the square root of the following number:

√37 lies between _______ & _______

CORRECT ANSWER
6
7
  • Question 3

Estimate the square root of the following number:

√61 lies between _______ & _______

CORRECT ANSWER
7
8
  • Question 4

Estimate the square root of the following number:

√113 lies between _______ & _______

CORRECT ANSWER
10
11
  • Question 5

Estimate the square root of the following number:

√62 lies between _______ & _______

CORRECT ANSWER
7
8
  • Question 6

Estimate the square root of the following number:

√90 lies between _______ & _______

CORRECT ANSWER
9
10
  • Question 7

Estimate the square root of the following number:

√43 lies between _______ & _______

CORRECT ANSWER
6
7
  • Question 8

Estimate the square root of the following number:

√26 lies between _______ & _______

CORRECT ANSWER
5
6
  • Question 9

Estimate the square root of the following number:

√74 lies between _______ & _______

CORRECT ANSWER
8
9
  • Question 10

Estimate the square root of the following number:

√117 lies between _______ & _______

CORRECT ANSWER
10
11
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1