eVidyarthi

Main Menu
  • eVidyarthi
  • School
    • Class 6th
      • Maths Class 6
      • Science Class 6
      • Hindi Class 6
      • व्याकरण
      • English Class 6
      • English Grammar
      • Sanskrit Class 6
      • Geography
      • Civics
      • History
    • Class 7th
      • Maths Class 7
      • Science Class 7
      • Hindi Class 7
      • व्याकरण
      • English Class 7
      • English Grammar
      • Sanskrit Class 7
      • Geography
      • Civics
      • History
    • Class 8th
      • Maths Class 8
      • Science Class 8
      • Hindi Class 8
      • व्याकरण
      • English Class 8
      • English Grammar
      • Sanskrit Class 8
      • Geography
      • Civics
      • History
    • Class 9th
      • Maths Class 9
      • Science Class 9
      • Hindi Class 9
      • English Class 9
      • English Grammar
      • व्याकरण
      • Economics Class 9
      • Geography Class 9
      • Civics Class 9
      • History Class 9
    • Class 10th
      • Maths Class 10
      • Science Class 10
      • Hindi Class 10
      • English Class 10
      • English Grammar
      • व्याकरण
      • Economics Class 10
      • History Class 10
      • Civics Class 10
      • Geography Class 10
    • Class 11th
      • Maths Class 11
      • Accounts Class 11
      • English Class 11
      • English Grammar
      • व्याकरण
      • Chemistry Class 11
      • Physics Class 11
      • Biology Class 11
    • Class 12th
      • Maths Class 12
      • Accounts Class 12
      • Chemistry Class 12
      • Physics Class 12
      • Biology Class 12
      • English Class 12
      • English Grammar
      • व्याकरण
    • Close
  • English
    • Basic English Grammar
    • Basic English Speaking
    • English Vocabulary
    • English Idioms & Phrases
    • Personality Enhancement
    • Interview Skills
    • Close
  • Softwares
    • Microsoft Word
    • PhotoShop
    • Excel
    • Illustrator
    • PowerPoint
    • Close
Class 8th Maths || Menu
  • Important
    • Sample Paper – I
    • Sample Paper – II
    • Important Formulas
    • Revision Notes
    • MCQs
    • Mathematics Book
    • Close
  • Rational Numbers
    • Ex 1.1
    • Ex 1.2
    • MCQs
    • Ex 1.1 NCERT Solutions
    • Ex 1.2 NCERT Solutions
    • Close
  • Linear Equations in One Variable
    • Ex 2.1
    • Ex 2.2
    • Ex 2.3
    • Ex 2.4
    • Ex 2.5
    • Ex 2.6
    • MCQs
    • Ex 2.1 NCERT Solutions
    • Ex 2.2 NCERT Solutions
    • Ex 2.3 NCERT Solutions
    • Ex 2.4 NCERT Solutions
    • Ex 2.5 NCERT Solutions
    • Ex 2.6 NCERT Solutions
    • Close
  • Understanding Quadrilaterals
    • Ex 3.1
    • Ex 3.2
    • Ex 3.3
    • Ex 3.4
    • MCQs
    • Ex 3.1 NCERT Solutions
    • Ex 3.2 NCERT Solutions
    • Ex 3.3 NCERT Solutions
    • Ex 3.4 NCERT Solutions
    • Close
  • Practical Geometry
    • Ex 4.1
    • Ex 4.2
    • Ex 4.3
    • Ex 4.4
    • Ex 4.5
    • MCQs
    • Ex 4.1 NCERT Solutions
    • Ex 4.2 NCERT Solutions
    • Ex 4.3 NCERT Solutions
    • Ex 4.4 NCERT Solutions
    • Ex 4.5 NCERT Solutions
    • Close
  • Data Handling
    • Ex 5.1
    • Ex 5.2
    • Ex 5.3
    • MCQs
    • Ex 5.1 NCERT Solutions
    • Ex 5.2 NCERT Solutions
    • Ex 5.3 NCERT Solutions
    • Close
  • Squares & Square Root
    • Ex 6.1
    • Ex 6.2
    • Ex 6.3
    • Ex 6.4
    • MCQs
    • Ex 6.1 NCERT Solutions
    • EX 6.2 NCERT Solutions
    • Ex 6.3 NCERT Solutions
    • Ex 6.4 NCERT Solutions
    • Close
  • Cubes and Cube Roots
    • Ex 7.1
    • Ex 7.2
    • MCQs
    • Ex 7.1 NCERT Solutions
    • Ex 7.2 NCERT Solutions
    • Close
  • Comparing Quantities
    • Ex 8.1
    • Ex 8.2
    • Ex 8.3
    • MCQs
    • Ex 8.1 NCERT Solutions
    • Ex 8.2 NCERT Solutions
    • Ex 8.3 NCERT Solutions
    • Close
  • Algebraic Expressions and Identities
    • Ex 9.1
    • Ex 9.2
    • Ex 9.3
    • Ex 9.5
    • MCQs
    • Ex 9.1 NCERT Solutions
    • Ex 9.2 NCERT Solutions
    • Ex 9.3 NCERT Solutions
    • Ex 9.4 NCERT Solutins
    • Ex 9.5 NCERT Solutions
    • Close
  • Visualising Solid Shapes
    • Ex 10.1
    • Ex 10.3
    • MCQs
    • Ex 10.1 NCERT Solutions
    • Ex 10.2 NCERT Solutions
    • Ex 10.3 NCERT Solutions
    • Close
  • Mensuration
    • Ex 11.1
    • Ex 11.2
    • Ex 11.3
    • Ex 11.4
    • MCQs
    • Ex 11.1 NCERT Solutions
    • Ex 11.2 NCERT Solutions
    • Ex 11.3 NCERT Solutions
    • Ex 11.4 NCERT Solutions
    • Close
  • Exponents and Powers
    • Ex 12.1
    • Ex 12.2
    • MCQs
    • Ex 12.1 NCERT Solutions
    • Ex 12.2 NCERT Solutions
    • Close
  • Direct and Inverse Proportions
    • Ex 13.1
    • Ex 13.2
    • MCQs
    • Ex 13.1 NCERT Solutions
    • Ex 13.2 NCERT Solutions
    • Close
  • Factorisation
    • Ex 14.1
    • Ex 14.2
    • Ex 14.3
    • Ex 14.4
    • MCQs
    • Ex 14.1 NCERT Solutions
    • Ex 14.2 NCERT Solutions
    • Ex 14.3 NCERT Solutions
    • Close
  • Introduction to Graphs
    • Ex 15.1
    • Ex 15.2
    • Ex 15.3
    • MCQs
    • Ex 15.1 NCERT Solutions
    • Ex 15.2 NCERT Solutions
    • Ex 15.3 NCERT Solutions
    • Close
  • Playing with Numbers
    • Ex 16.1
    • Ex 16.2
    • MCQs
    • Ex 16.1 NCERT Solutions
    • Ex 16.2 NCERT Solutions
    • Close

Class 8 Ex. 6.1 Maths NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Ex 6.1

Ex 6.1 Class 8 Maths Question 1.
What will be the unit digit of the squares of the following numbers?

(i) 81

(ii) 272

(iii) 799

(iv) 3853

(v) 1234

(vi) 20387

(vii) 52698

(viii) 99880

(ix) 12796

(x) 55555

Solution:

(i) Unit digit of 81² = 1
(ii) Unit digit of 272² = 4
(iii) Unit digit of 799² = 1
(iv) Unit digit of 3853² = 9
(v) Unit digit of 1234² = 6
(vi) Unit digit of 26387² = 9
(vii) Unit digit of 52698² = 4
(viii) Unit digit of 99880² = 0
(ix) Unit digit of 12796² = 6
(x) Unit digit of 55555² = 5

Ex 6.1 Class 8 Maths Question 2.
The following numbers are not perfect squares. Give reason.

(i) 1057

(ii) 23453

(iii) 7928

(iv) 222222

(v) 64000

(vi) 89722

(vii) 222000

(viii) 505050

Solution:

(i) 1057 ends with 7 at unit place. So it is not a perfect square number.
(ii) 23453 ends with 3 at unit place. So it is not a perfect square number.
(iii) 7928 ends with 8 at unit place. So it is not a perfect square number.
(iv) 222222 ends with 2 at unit place. So it is not a perfect square number.
(v) 64000 ends with 3 zeros. So it cannot a perfect square number.
(vi) 89722 ends with 2 at unit place. So it is not a perfect square number.
(vii) 22000 ends with 3 zeros. So it can not be a perfect square number.
(viii) 505050 ends with 1 zero. So it is not a perfect square number.

Ex 6.1 Class 8 Maths Question 3.
The squares of which of the following would be odd numbers?

(i) 431

(ii) 2826

(iii) 7779

(iv) 82004

Solution:

(i) 431² is an odd number.
(ii) 2826² is an even number.
(iii) 7779² is an odd number.
(iv) 82004² is an even number.

Ex 6.1 Class 8 Maths Question 4.
Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1…2…1

10000001² = ………

Solution:

According to the above pattern, we have
100001² = 10000200001
10000001² = 100000020000001

Ex 6.1 Class 8 Maths Question 5.
Observe the following pattern and supply the missing numbers.

11² = 121

101² = 10201

10101² = 102030201

1010101² = ……….

……….² = 10203040504030201

Solution:

According to the above pattern, we have
1010101² = 1020304030201
101010101² = 10203040504030201

Ex 6.1 Class 8 Maths Question 6.
Using the given pattern, find the missing numbers.

1² + 2² + 2² = 3²

2² + 3² + 6² = 7²

3² + 4² + 12² = 13²

4² + 5² + ….² = 21²

5² + ….² + 30² = 31²

6² + 7² + …..² = ……²

Solution:

According to the given pattern, we have
4² + 5² + 20² = 21²
5² + 6² + 30² = 31²
6² + 7² + 42² = 43²

Ex 6.1 Class 8 Maths Question 7.
Without adding, find the sum.

(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Solution:

We know that the sum of n odd numbers = n2
(i) 1 + 3 + 5 + 7 + 9 = (5)² = 25 [∵ n = 5]
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = (10)² = 100 [∵ n = 10]
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = (12)² = 144 [∵ n = 12]

Ex 6.1 Class 8 Maths Question 8.

(i) Express 49 as the sum of 7 odd numbers.

(ii) Express 121 as the sum of 11 odd numbers.

Solution:

(i) 49 = 1 + 3 + 5 + 7 + 9 + 11 + 13 (n = 7)
(ii) 121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 (n = 11)

Ex 6.1 Class 8 Maths Question 9.
How many numbers lie between squares of the following numbers?

(i) 12 and 13

(ii) 25 and 26

(iii) 99 and 100.

Solution:

(i) We know that numbers between n² and (n + 1)² = 2n
Numbers between 12² and 13² = (2n) = 2 × 12 = 24
(ii) Numbers between 25² and 26² = 2 × 25 = 50 (∵ n = 25)
(iii) Numbers between 99² and 100² = 2 × 99 = 198 (∵ n = 99)

Android App

eVidyarthi

Search On eVidyarthi

Evidyarthi on Facebook

Like us on Facebook

Follow Evidyarthi on Youtube

Learn English
Learn English Through हिन्दी
Job Interview Skills
English Grammar
हिंदी व्याकरण - Vyakaran
Mathematics Class 6th
Science Class 6th
हिन्दी Class 6th
Mathematics Class 7th
Science Class 7th
हिन्दी Class 7th
Mathematics Class 8th
Science Class 8th
हिन्दी Class 8th
Mathematics Class 9th
English Class 9th
Science Class 9th
Mathematics Class 10th
English Class 10th
Mathematics Class XI
Chemistry Class XI
Accountancy Class 11th
Accountancy Class 12th
Mathematics Class 12th
Microsoft Word
Microsoft Excel
Microsoft PowerPoint
Adobe PhotoShop
Adobe Illustrator
Learn German
Learn French
IIT JEE
Privacy Policies, Contact Us
Copyright © 2020 eVidyarthi and its licensors. All Rights Reserved.