The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

  1. Maths
  2. Year 9
  3. Powers and Roots
BACK TO WORKSHEETS

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:  

down

Worksheet Overview

QUESTION 1 of 10

 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.

 

 

Between which two numbers does the following square root lie?

 

√7

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√5

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√15

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√50

7 and 8

2 and 3

3 and 4

Between which two numbers does the following square root lie?

 

√40

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√30

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√60

5 and 6

6 and 7

7 and 8

Between which two numbers does the following square root lie?

 

√90

7 and 8

8 and 9

9 and 10

Between which two numbers does the following square root lie?

 

√62

7 and 8

8 and 9

9 and 10

Between which two numbers does the following square root lie?

 

√66

7 and 8

8 and 9

9 and 10

  • ANSWERS
  • Question 1

Between which two numbers does the following square root lie?

 

√7

CORRECT ANSWER
2 and 3
  • ANSWERS
  • Question 2

Between which two numbers does the following square root lie?

 

√5

CORRECT ANSWER
2 and 3
  • ANSWERS
  • Question 3

Between which two numbers does the following square root lie?

 

√15

CORRECT ANSWER
3 and 4
  • ANSWERS
  • Question 4

Between which two numbers does the following square root lie?

 

√50

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 5

Between which two numbers does the following square root lie?

 

√40

CORRECT ANSWER
6 and 7
  • ANSWERS
  • Question 6

Between which two numbers does the following square root lie?

 

√30

CORRECT ANSWER
5 and 6
  • ANSWERS
  • Question 7

Between which two numbers does the following square root lie?

 

√60

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 8

Between which two numbers does the following square root lie?

 

√90

CORRECT ANSWER
9 and 10
  • ANSWERS
  • Question 9

Between which two numbers does the following square root lie?

 

√62

CORRECT ANSWER
7 and 8
  • ANSWERS
  • Question 10

Between which two numbers does the following square root lie?

 

√66

CORRECT ANSWER
8 and 9
---- 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

Similar activities you may like

Start your trial for £1